# So, I figured out that $$\int\tan^2xdx =\int(\sec^2x-1)dx=\tan x-x+C$$ I'm trying to adapt this so I can also evaluate $\int\tan^4x$. Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

cos 2x = cos²x - sin?x= 2 cosx-1=1-2 sin x tan 2x a to sin 2x = 2 sin X.cols X fn vi inte kan hantera. Da vi noch fen moter på t= lan & dy. S sin.x dx = n. (sin

Differentiate the right side of the equation. 2012-10-08 Answer to: Evaluate \int_0^{\pi} tan^2 (x/3) dx. By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … \int\tan^{2}(x)dx. en. 3 u3] 1. 1. −. = 2 ln 10 − 0. = 1.

Differentiate the right side of the equation. 2012-10-08 Answer to: Evaluate \int_0^{\pi} tan^2 (x/3) dx.

## 2021-04-09 · Solution for 2tan(x) dx 1 – tan2(x) Social Science. Anthropology

tan2 x / 1 + tan2 x dx. In this video, I demonstrate how to find the anti-derivative or the integral of tan^2(x). This would normally be quite a difficult integral to solve.However, integral of tan^2 (x)*sec (x) - YouTube. 2009-01-23 Solution for Evaluate the integral ∫tan2 x sec2 x dx.

### tan5(x) (tan2(x)+1) sec2(x) dx = ∫ [tan7(x) + tan5(x)] sec2(x) dx [tan7(x) + tan5( x)] (tan2(x)+1) dx = ∫ [tan9(x) + tan7(x)+tan7(x)+tan5(x)] dx Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Solved: Integrate: \int \tan^{2} x \sec^{4} x dx By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can 2014-09-12 $$\int sec^2x \tan^2x dx = tan^2x - 2\int \sec^2x \tan^2x dx$$ 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. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. calculus integration definite-integrals logarithms Share 2010-10-30 Answer to 1-tan2 x dx 5.y = \$ 1+tan2 x 6.y = S(x+1) xer dx 7.y = |ex. %+ (x2 + 1) dx (x + 1)2 Given y = tan^2(logx^3) We need to find (dy)/(dx) Consider y = tan^2(logx^3) ⇒ y = tan^2(3 logx) ⇒ y = [tan(3logx)]^2 Differentiate with respect to x x on both sides we get ⇒ dy/dx = 2[tan(3logx)] . sec^2(3logx) . 3/x ∫ tan 2 x(1 + tan 2 x) dx ∫(tan 2 x)(sec 2 x) dx ∫ (tanx)(tanx)(sec 2 x) dx. Let u = tanx then du = sec 2 x dx. then integral becomes => ∫ u 2 du = u 3 /3 + c Is this correct ?
Karenstid magsjuka 𝑑𝑥 = ﷮﷮ sec﷮2﷯ 2𝑥 – 3﷯−1﷯ ﷯𝑑𝑥 = ﷮﷮ sec﷮2﷯ 2𝑥 – 3﷯ ﷯𝑑𝑥− ﷮﷮ 1﷯.𝑑𝑥 = ﷮﷮ sec﷮2﷯ 2𝑥 – 3﷯ ﷯𝑑𝑥 − 𝑥+𝐶1 Solving 𝐈1 I1 = ﷮﷮ sec﷮2﷯ 2𝑥 – 3﷯ ﷯𝑑𝑥 Let 2𝑥 – 3=𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 2−0 = 𝑑𝑡﷮𝑑𝑥﷯ 2= 𝑑𝑡﷮𝑑𝑥 Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history In this video, I demonstrate how to simplify the integral ∫tan^2(x) + tan^4(x)dx by factoring out tan^2(x), transforming it to ∫tan^2(x)sec^2(x)dx.From here, differentiation of tan(x) using quotient rule is discussed in this video. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals.

Funktionen f(x) är kontinuerlig.

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### (b) Solve the following initial value problem. Lös följande begynnel- sevärdesproblemet. dy dx. = tan2 (x + y), y (0) = π. 4 . Solution. Let u = x + y, then dy dx. = du.

=-13[x]π/20+43∫π/20sec2x4sec2x-3dx (Divide numerator nad denominator by cos2 x in second integral) =π6+43∫π/20sec2x4(1-tan2x)-3dx. Let tanx=t and  2ex. 2 en. Webwork 5.5 #9 Book Problem 20.

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### Solve the integral = - ln |u| + C substitute back u=cos x = - ln |cos x| + C Q.E.D. 2. Alternate Form of Result. tan x dx = - ln |cos x| + C = ln | (cos x)-1 | + C = ln |sec x| + C

−. = 2 ln 10 − 0.