Integrate the functions(sin^(-1)x)^2 06:49 Integrate the functions tan^(-1)x 04:04 Integrate the function xsec^2x 02:37 Integrate the functionsxtan^(-1)x 06:08 Integrate the functions xcos^(-1)x 10:39 Integrate the functionsxsin3x 03:23 Integrate the functionsx^2e^x 03:13Exam...
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The given integration is {eq}\int{\left( {{x}^{3}}{{\sin }^{2}}\left( x \right)+{{\left( 1-x \right)}^{3}}{{\cos }^{2}}\left( 1-x \right)... Learn more about this topic: Integration by Parts | Rule, Formula & Examples ...
Apply the sin ^2 x power-reducing formula sin ^2x= (1-cos 2x)2.\begin{split}\int \sin ^{4}x\d x&=\int (\sin ^{2}x)^{2}\d x\\&=\int \left (\dfrac {1-\cos 2x}{2}\right )^{2}\d x\\&=\int \left (\dfrac {1-2\cos 2x+\cos ^{2}2x}{4}\right )\d x\...
2. Common integration:∫1udu=ln(|u|). 3. Common derivative:ddx(x)=12x. Answer and Explanation:1 We have to solve the integration ofI=∫dxx+x Apply the substitution for {eq}u=\sqrt{x} \Rightarrow du =... Learn more about this topic: ...
(sin xcos x)((cos ^2x+2sin ^2x)) 相关知识点: 试题来源: 解析 12log _e(cos ^2x+2sin ^2x) 结果一 题目 Integrate the following functions with respect to x: 答案相关推荐 1Integrate the following functions with respect to x: 反馈...
Integrate: \int \frac{1 + \sin x}{ 1 - \sin x} dx Integrate: \int \cos^4x \sin x dx Integrate: \int (x + 1) \sin (x^2 + 2x + 3) dx 1) Integrate int cos 2x cos 5x dx. 2) Integrate int_0^pi / 2 sin 2x cos 3x dx using one of the following identities. sin mx...
Integrate:\\int (3x + 1)^\frac{1}{2}dx Integrate \int x^3 \ e^{2x} \ dx Integrate: \int e^{8x}(8dx) Integrate: \int \sqrt{sec^2(x) - 1} dx Integrate: \int \ \frac {sin^3(x)}{cos^\frac {1}{4}(x)} dx
=x=tanθ===∫421+x1+2x2+x4dx∫arctan4arctan21+tanθsec4θsec2θdθ∫arctan4arctan2(cos2θ+sinθcosθ)dθθ2−12cos2(t)+14sin(θ)∣∣∣arctan4arctan2−185+12(arctan4−arctan2).∫241+x1+2x2+x4dx=x=tanθ∫arctan2arctan41+t...
f(x)=6x There are 3 steps to solve this one. x3sin(2x) ∫udv=uv−∫vdu