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You can not integrate tan 2 x but you can integrate sec 2 x Since sec 2 x = 1 tan 2 x Then tan 2 x = sec 2 x1 so the intragral of tan 2 x dx = the integral of (sec 2 x1) dx = intrgral of sec 2 x dx integral of 1 dx = tanxx C Answered by Nandini P • Maths tutor 131 Views See similar Maths A Level tutors Need help with Maths?One to one online tuition can be a great way to750 K views 517 K people like this Like Share Share Related Video$$\int \sec^3(2x)dx = \frac{1}{2}\big(\tan(2x)\sec(2x) \ln \sec(2x)\tan(2x)\big) C$$ integration trigonometricintegrals Share Cite Follow edited Mar 6 '17 at 227 ziggurism 149k 2 2 gold badges 43 43 silver badges 97 97 bronze badges asked Mar 6 '17 at 215 user user 1,319 2 2 gold badges 11 11 silver badges 26 26 bronze badges $\endgroup$ 3

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Integration of 1/sec^2x tan^2x-Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!Math\begin{align} \displaystyle \int \frac{1 \tan^2(x)}{1 \tan^2(x)} \, \mathrm{d}x &= \displaystyle \int \frac{\left(\frac{\cos^2(x) \sin^2(x)}{\cos^2(x

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Click here👆to get an answer to your question ️ inttan^3 2x sec 2x dx#10 Report 9 years ago #10 You are asked to evaluate Let Carry out this substitution and evaluate the resulting integral At last, the derivative of tan x 1/ sec x is one plus tan x upon sec x Y dash = (tanx1)dash sec x – (tanx1) sec x dash = sec^2x sec x (tanx1)sec x tan x Y dash = sec^3x – tan^2x sec x secx tanx Next, y dash = sec^2xtan^2x tanx/sec x = 1 tan x/sec x Derivative of tan x^ cot x Let y equals tan x to the power cot x The first

=sec^4(x)2sec^2(x)sec(x)tan(x)(1cos^2(x))/cos^4(x) =2sec^4(x)sec^2(x)2sec^2(x)sec(x)tan(x) The integrals of the second and third functions are standard!Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!So sec^2 (x)=1tan^2 (x) This is one of the three Pythagorean identities in trigonometry, but if you don't recognize it, try converting to sines and cosines 1/cos^2 (x)=1sin^2 (x)/cos^2 (x) Now, multiply each term by cos^2 (x) to get 1=cos^2 (x) sin^2 (x

Integral of the form tan^m x sec^2x or cot^m x cosec^2x m is natural number Apne doubts clear karein ab Whatsapp par bhi Try it now CLICK HERE 1x 15x 2x Loading DoubtNut Solution for you Watch 1000 concepts & tricky questions explained!Now, we can recognise sec^2 (x) as the derivative of tan (x) (you can prove this using the quotient rule and the identity sin^2 (x) cos^2 (x) = 1), while we get x when we integrate 1, so our final answer is tan (x) x c Answered by Warren L • Maths tutorYes, sec 2 x−1=tan 2 x is an identity, sec 2 −1=tan 2 x, Let us derive the equation, We know the identity, sin 2 xcos 2 x=1 ——i Dividing throughout the equation by cos 2 x We get, sin 2 x/cos 2 x cos 2 x/cos 2 x = 1/cos 2 x We know that, sin 2 x/cos 2 x= tan 2 x, and cos 2 x/cos 2 x = 1, So the equation i after substituting becomes, tan 2 x 1= 1/cos 2 x ——–ii

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Using substitution, u=tan (x) and du= sec^2 (x) dx U can integrate normally from there and substitute tan(x) back in, you'll get (1/3)tan^3 (x) c 1 reply Femto Badges 8 Rep?Click here 👆 to get an answer to your question ️ Integration of tan^3(2x)sec2x 1 Log in Join now 1 Log in Join now Secondary School Math 8 points Integration of tan^3(2x)sec2x Ask for details ;Learn integral of square of secant function with introduction and proof for integration of sec²(x) rule with respect to x to prove ∫sec²xdx = tanxc

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 Here, notice that sec^2x is already in the integral, and all that remains is tan^2x That is, we have tanx in squared form accompanied by its derivative, sec^2x This integral is ripe for substitution!Sec 2 2x 1 Tan2x Youtube Integration of 1tan^2x/1tan^2x dx Integration of 1tan^2x/1tan^2x dx\\int \tan^{2}x\sec{x} \, dx\ >In the integral inttan^2xsec^2xdx, let u=tanx and du=sec^2xdx This gives us inttan^2xsec^2xdx=intu^2du Performing this integration yields u^3

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The integral of sec^2(x)dx/tan^2(x) 3tan(x) 2 looks quite complicated, but it really isn't if we realise that sec^2(x) is simply the derivative of tan(Answer (1 of 10) \int \frac{1\tan^2x}{1\tan^2x} \,dx \int \frac{1\tan^2x}{\sec^2x} \,dx \int \frac{1\tan^2x}{\frac{1}{\cos^2x}} \,dx \int \cos^2x(1\tan^2x) \,dxFollow Report by P6AGs7himoksh Log in to add a comment Answers

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Answer to Evaluate the indefinite integral Integral of tan^3 (2x) sec(2x) dx By signing up, you'll get thousands of stepbystep solutions toThis video shows how to find the integral of sec(2x)*tan(2x)To integrate sec^4(x), there is a reduction formula, which I will post in a separate comment in a few minutes, but which must appear in calculus texts 74 views Share Related Answer

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Integration of tan^2x sec^2x/ 1tan^6x dx Ask questions, doubts, problems and we will help youLearn how to solve trigonometric integrals problems step by step online Solve the trigonometric integral int(sec(2x)tan(2x))dx We can solve the integral \int\sec\left(2x\right)\tan\left(2x\right)dx by applying integration by substitution method (also called USubstitution) First, we must identify a section within the integral with a new variable (let's call it u), which when substitutedIntegrating \ (\int \tan^m x\sec^n x\dee {x}\) Subsection 1 Integrating ∫ tanm x secn xdx ∫ tan m ⁡ x sec n ⁡ x d x ¶ The strategy for dealing with these integrals is similar to the strategy that we used to evaluate integrals of the form ∫sinmxcosnxdx ∫ sin m

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Integral of sec^2 (x) \square!Answer (1 of 3) I = sec 2xdx Multiplying in Nr and Dr by (sec 2xtan 2x ) I = {sec 2x(sec 2x tan 2x)/(sec 2x tan 2x)}dx Let (sec 2x tan 2x) = p then 2Integration of sec^2x/1tan^2x Close 7 Posted by 6 days ago Integration of sec^2x/1tan^2x youtube/_e6Mr2 0 comments share save hide report % Upvoted Log in or sign up to leave a comment log in sign up Sort by best

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Answer to Integrate the trigonometric integral integral of sec^2(x)/(1tan(x)) dx evaluated from 0 to pi/4 By signing up, you'll get thousands ofAnswer (1 of 3) \\displaystyle\\int \\dfrac{\\sec x}{\\tan^2 x}\\,dx =\\displaystyle\\int \\sec x\\cot^2 x\\,dx =\\displaystyle\\int \\csc x \\cot x\\,dx =\\csc x CClick here👆to get an answer to your question ️ Prove that inttan x sec ^2x √(1 tan^2x)dx = 1/3 ( 1 tan ^2x )^3/2 Join / Login >> Class 12 >> Maths >> Integrals >> Integration by Substitution >> Prove that inttan x sec ^2 Question Prove that ∫ tan x sec 2 x 1 − tan 2 x d x = 3 1 (1 − tan 2 x) 3 / 2 Medium Open in App Solution Verified by Toppr Let I = ∫ tan x sec 2

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Integration of sec^2x/1tan x (Solution)Integration of sec^2x/1tan x (Solution) dx this video teaches us how to Integration of sec^2x/1tan x (Solution) d Ex 74, 9 sec 2 tan 2 4 Let tan = Diff both sides wrt x sec 2 = = sec 2 Integrating the function sec 2 tan 2 4 Putting value of tan = and = sec 2 = sec 2 t The derivative of tanx is 1 tan2x Then ∫tan2xdx = ∫ d dxtanxdx − x c = tanx − x c Share answered Mar 6 '19 at 1403 Gibbs Gibbs 7,029 4

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Integrate sec(2x)tan(2x) from 0 to We can solve the integral \int_{0}^{\frac{\pi}{6}}\sec\left(2x\right)\tan\left(2x\right)dx by applying integration by substitution method (also called USubstitution) First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier We see that 2x it's aIntegral of sec^2x \square!To integrate sec^22x, also written as ∫sec 2 2x dx, sec squared 2x, (sec2x)^2, and sec^2(2x), we start with a u substitution Let u = 2x This is a simple u substitution Therefore du/dx = 2 This is a simple differentiation step We rearrange the previous expression for dx We now have another integration on the RHS that means the same thing but is in terms of u We move the constant 1/2

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Learn how to solve definite integrals problems step by step online Integrate sec(2x)tan(2x) from 0 to We can solve the integral \int_{0}^{\frac{\pi}{6}}\sec\left(2x\right)\tan\left(2x\right)dx by applying integration by substitution method (also called USubstitution) First, we must identify a section within the integral with a 1 Answer Tom ∫(1 tan2(x))sec2(x)dx We know 1 tan2(x) = 1 cos2(x) sec2(x) = 1 cos2(x) So we have ∫ 1 cos4(x) dx Let's t = tan(x) and dt = 1 cos2(x) dx$$\int sec^2x \tan^2x dx = tan^2x 2\int \sec^2x \tan^2x dx$$ You can move the $ 2\int \sec^2x \tan^2x dx$ to the left hand side of the equation by addition $$\int \sec^2x \tan^2x dx 2\int \sec^2x \tan^2x dx= tan^2x c, c\in\mathbb{R}$$ Note that once we have a side without an integral on it you need to include a constant of integration I

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 The last two answers, from Harish and egreg, are the same Integrating egreg's construction produces sec2x 2 C, and that from Harish produces tan2x 2 C1 Choosing C1 = 1 / 2 C for the latter, yields tan2x 1 2 C = sec2x 2 C, as it Integration of sec^2x integration of secant squared x Let try to solving, in this case we solve the \( \int(sec^2x) dx \) Once again, I = \( \int(sec^2x) dx \) Now multiply tanx/tanx with the sec^2x And we get, Assume that tanx = z Now differentiating on both side with respect to x sec 2 x dx = dz Hence, I = tanx c5 Hint Integrate by parts twice and in each case assume u to be the polynomial function and consider d v for the first integration by parts as d v = sec ⁡ ( x) ( sec ⁡ ( x) tan ⁡ ( x)) d x v = 1 2 sec

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 `int tanx sec^2x sqrt(1tan^2x) dx` `int tanx sec^2x sqrt(1tan^2x) dx` Books Physics NCERT DC Pandey Sunil Batra HC Verma Pradeep The integral of the product of a constant and a function = the constant x integral of function Geometrical interpretation of indefinite integral Comparison between differentiation and integration By substitutionAnswer (1 of 5) Integration being the reverse process of differentiation, by observation is should be obvious that \tan{x} is what we are looking for But, let's do this a different way I = \int \sec^2{x}\;dx = \int \dfrac{\sec^2{x}\tan{x}}{\tan{x}} \;dx Let \sec{x} = t \implies dt = \sec{x}\Answer (1 of 2) I = \displaystyle \int \dfrac{\tan x \cdot \sec^2 x \cdot dx}{1 \tan^2 x} \text{Let } t = \tan x\implies dt = \sec^2 x \cdot dx \therefore I

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