यदि int xe^(2x) dx का मान e^(2x) f(x) + C है, जहाँ C समाकलन स्थिरांक है, तब f(x) =
\int xe^{2x}dx=\dfrac{1}{2} \int xe^{2x}d2x=\dfrac{1}{2} \int xde^{2x}=\dfrac{1}{2} (xe^{2x}-\int e^{2x}dx)=\dfrac{1}{2} (xe^{2x}-\dfrac{1}{2}e^{2x} )+C 相关知识点: 试题来源: 解析 \int xe^{2x}dx=\dfrac{1}{2} \int xe^{2x}d2x=\dfrac{...
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Integrate the function. int frac{7x^2+18x-45}{x(x-3)(x+3)}dx a. ln|frac{x^5(x-3)^4}{x+3}|+C b. ln|frac{x^5(x+3)^4}{x-3}|+C c. ln|frac{x^5(x-3)}{(x+3)^2}|+C d. ln|frac{x^5(x-3)^4}{(x+3)^2}|+C Integrate the function. \int \frac{(e^x...
相关知识点: 试题来源: 解析 \int xe^{-x^2}dx=\dfrac{1}{2} \int e^{-x^2}dx^2=-\dfrac{1}{2} \int e^{-x^2}d(-x^2)=-\dfrac{1}{2} e^{-x^2} +C 反馈 收藏
x2−4x−5=0 三角學 4sinθcosθ=2sinθ 線性方程 y=3x+4 算術 699∗533 矩陣 [2534][2−10135] 聯立方程 {8x+2y=467x+3y=47 微分 dxd(x−5)(3x2−2) 積分 ∫01xe−x2dx 限制 x→−3limx2+...
Integration is the inverse function of differentiation. If ddxF(x)=f(x), then ∫f(x)dx=F(x) Answer and Explanation: Let I=∫xe7xdx Integrating by parts, we get {eq}\displaystyle I = x\int e^{7x}dx - \int \frac{d}{dx} x \left( \int...Become...
Evaluate the integral:\\int \frac{xe^{2x{ (1+ 2x)^2}dx Evaluate. \int (x + 3)e^{2x}dx Evaluate \int r^2}\left( r^3 \over {24 + 7} \right)}^7 dr. Evaluate \int e^x \cos x dx Evaluate: int {13x^2-89x+64}/{x^3-8x^2+5x+50}dx ...
Integrate by parts. {eq}\int xe^{2x} {/eq} dx Indefinite Integrals: There are many method to solve integrals. We have been asked to solve this integral by integration by parts. The integrand is the product of an exponential function and a linear polynomial. Answer and Explanation...
积分\(\int 3^xe^x dx=\) A. \(\dfrac {e^x}{\ln (3e)}+C\) B. \(\dfrac {(3e)^x}{\ln (3e)}+C\) C. \(\dfrac {(3e)^x}{\ln 3}+C\) D. \(\dfrac {3^x}{\ln 3}+C\) 相关知识点: 试题来源: 解析 B