\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\\&=\dfrac {1}{4}\left (\int 1\d x-2\int \cos 2x\d x+\int...
Integrate the functions(x e^x)/((1+x)^2) 03:18 Integrate the functionse^x(sinx+cosx) 02:45 Integrate the functions(xcos^(-1)x)/(sqrt(1-x^2)) 05:03 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 with respect to x : (i) sin 2x + 1/(x+1) (ii) tan (3x + 1) + e^(4x+5) (iii) 2 tan (4x + 5)
sin(2x)=2sinxcosxsin(3x)=3sinx−4sin3xcos(2x)=1−2sin2x∫cos(ax)dx=sin(ax)a+c∫sin(ax)dx=−cos(ax)a+c Answer and Explanation:1 a) Given: ∫sinxdx {eq}\displaystyle \begin{align} \int \sin x dx ...
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....
(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 the function: e^(2x) sin x Integrate the function: sin y/1 + cos y Integrate the function: (2 + sin 2x/1 + cos 2x) e^x Integrate (cos x sin x) / (1+(sin x)^4) dx Integrate the following: f(x) = (cos 7x)/(6 + sin 7x). ...
Integrate the function: sin x/(1 + cos x)^2 Integrate: integral 2x + 1 / (x-2)^2 dx. Integrate the function: x^2/(2 + 3x^3)^3 Integrate \int \frac{3x+5}{\sqrt{ 1-x^2 Compute the integral \int_{-2}^{2} \int_{- \sqrt{4-x^2^{\sqrt{4-x^2 \int_{0}^{\sqrt...
升级到 PRO 应用程序 导览π0sinx2+2sin2x4dx 数学输入 自然语言 数学输入
Verified by Experts The correct Answer is:extanx+C | ShareSave Answer Step by step video, text & image solution for Integrate the functions (2+sin2x)/(1+cos2x)e^(x) by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams. ...