View Solution Evaluate:∫x2ex3cos(2ex3)dx View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium
{ 2 } e ^ { x } - 2 \int x e ^ { x } d x = x ^ { 2 } e ^ { x } - 2 ( x e ^ { x } - \int e ^ { x } d x ) \\ = x ^ { 2 } e ^ { x } - 2 ( x e ^ { x } - e ^ { x } ) + c = ( x ^ { 2 } - 2 x + 2 ) c ^ { x...
∫f(x)g(x)dx=f(x)∫g(x)dx−∫(f′(x)∫g(x)dx)dx. Also, we have ∫xndx=xn+1n+1+c,wherecis an arbitrary constant,∫exdx=ex+c,(wherecis an arbitraryconstant).. Answer and Explanation:1 Here the given integral is∫x2exdx. ...
答案 解:令 u=x^2 , v'=e^x ,则 u'=2x , v=e^x原式 =x^2e^x-2∫(xe^x)dx[再用一次分部积分,令u=x, v'=e^x]=x^2e^x-2(xe^x-∫(e^x)dx) =(x^2-2x+2)e^x+C相关推荐 1求不定积分 ∫x^2e^xdx 反馈 收藏
1) ∫(x+2)exdx 2) ∫x9−x2dxIntegration by Parts and Trigonometric Substitution:For the first question, we will use integration by parts. When we look at the formula for integration by parts: ∫u(x)v′(x)dx=u(x)v(x)−∫v(x)u′(x)dx, noti...
int (6x^7 + 2e^x - 1) dx Evaluate the Indefinite Integral: \int \sin(\ln x) dx Evaluate the indefinite integral \int 10^8 \log t \, dt Evaluate the indefinite integral of (x^3 + 1)/((x^2)-x)dx Evaluate the indefinite integral. \int xe^{3x} dx Evaluate the indefinite ...
结果一 题目 求∫2xe的x 方dx 答案 ∫2xe^xdx=2∫xde^x=2xe^x-2∫e^xdx=2xe^x-2e^x+C相关推荐 1求∫2xe的x 方dx 反馈 收藏
Integrate: \int e^x\cos xdx Integrate. \ \int (x+2) (1-x)^{\frac{1}{2 Integrate: \int (2x-3-\frac{4}{x})dx Integrate \int \frac{1}{x \sqrt{a ^2 + x^2 dx. Integrate. \ \int \frac{x^4}{\sqrt {x^5-4 Integrate: 1. \int \frac{7 - 2x}{x^2 - x - 2}dx...
$$ 用户热搜: 不定积分e^xdx^2结果一 题目 求不定积分sī 答案 解设u=x^2 , dv=e^xdx=de^x ,那么du=2xdx, v=e^x ,则∫x^2e^xdx=∫x^2de^x=x^2e^x-2∫(e^x)dx .相关推荐 1求不定积分sī 反馈 收藏
Evaluate {eq}\displaystyle \int x e^x dx {/eq}. Indefinite Integral: The given integral is the product of the given variable and the exponential function. In this type of case, we'll use integration by parts to solve. Integration by parts states that {eq}\displaystyle \int u \ dv =...