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....
We know that {eq}\displaystyle 2\sin x \cos x = \sin 2x {/eq} Answer and Explanation: Given {eq}\displaystyle I = \int \sin^2x \sin (2x) dx {/eq} Let {eq}\displaystyle \sin^2(x) =t \Rightarrow 2\sin x \cos x dx = dt {/eq} That...Become...
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. Updated on:21/07/2023 Class 12MATHSINTEGRALS
Integrate the functionssinxsin2xsin3x View Solution Integrate the functionxlog2x View Solution Integrate the functionsx3√1−x8 Integrate the functionx2logx View Solution Integrate the functionx2ex View Solution Integrate the functionssin3xcot4x ...
\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...
(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: 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
Integrate the function: x sin 3x Integrate the function: sin x/1 + cos x 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 ...
百度试题 结果1 题目Integrate the following functions w.r.t. x.e^(2x)cos x 相关知识点: 试题来源: 解析 15e^(2x)(sin x+2cos x) 反馈 收藏