1. Trigonometric identity: cos2(x)=1+cos(2x)2.2. Move the constant out: ∫b⋅f(x)dx=b⋅∫f(x)dx.3. Common integration: ∫cos(u)du=sin(u).4. The sum rule: ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx....
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Evaluate the integral of sin 2x cos 2x dx. Evaluate the integral \int_0^\infty e^{-ax} \sin x \,dx ; \quad a \gt 0 How to integrate sqrt(1 + 2x^2) dx How to integrate 1/(xe^x) dx How to integrate (x^2)(e^x) dx How to integrate (x^2)sin^-1(x) dx How to int...
∫cos2xsin3xdx View Solution Evaluate: intsqrt(9-x^2)dx 01:18 Evaluate: intxsqrt((1+x)/(1-x))dx 06:36 Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium ...
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\...
(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...
\int {\left( {\sec x + \tan x} \right)\left( {1 - \sin x} \right)dx} Integrate the following function. int sin^7 2x cos 2x dx Integrate the following function. \int {x\left( {2x + 5} \right)}^2}dx} Please integrate the integral. { \int \frac{(x+6)}{(x^3 - 2x...
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 Integrate: \int 4x\sec^2(2x)dx Integrate: \int (x^7+6)^3(7x^6dx) Integrate : \int t^{2}e...
=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...
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