x के सापेक्ष समाकलन कीजिए- int e ^(x) cos ^(2) xdx
解析 解:因为 $$ \int _ { 0 } ^ { 2 } e ^ { x } $$dx表示$$ y = e ^ { x } $$与x =2,$$ x = 0 , y = 0 $$的图象围成的图形的面积,由图象可知 $$ \int _ { 0 } ^ { 2 } e ^ { x } d x > \int _ { 0 } ^ { 2 } x d x . $...
解:$$ \int _ { 0 } ^ { \pi } e ^ { x } \cos ^ { 2 } x d x = \frac { 1 } { 2 } \int _ { 0 } ^ { \pi } e ^ { x } ( 1 + \cos 2 x ) d x = \frac { 1 } { 2 } \int _ { 0 } ^ { \pi } e ^ { x } d x + \frac {...
Answer to: Integrate \int e^{\tan x} \cdot \sec^{2} xdx \int x \cdot (2x + 5)^{3} dx By signing up, you'll get thousands of step-by-step solutions...
2.设f(x)=x2lnx,由函数乘积的求导法则,(x2lnx)′=2xlnx+x,等式两边同时求区间[1,e]上的定积分,有:\int_1^e{{{({{x^2}lnx})}^'}dx}=\int_1^e{2xlnxdx}+\int_1^e{xdx}\int_1^e{{{({{x^2}lnx})}^'}dx}=\int_1^e{2xlnxdx}+\int_1^e{xdx}. ...
Answer to: Integrate (a) int tan^{-1} xdx (b) int x^2 ln xdx (c) int e^{x} cos 3xdx By signing up, you'll get thousands of step-by-step...
(强切) 用于生动物管 sec^{0}x= \dfrac {1}{ \cos ^{2}x} ( \dfrac { \sin \alpha }{ \cos \alpha })^{'}=( \tan \alpha )^{'}= \dfrac { \sin ^{3} \alpha + \cos ^{2} \alpha }{ \cos ^{3}x}= \dfrac {1}{ \cos ^{2}x} \therefore \int sec^{2}xdx...
用图像表示下列定积分:(1)∫_1^3e^xdx\int_{1}^{3}e^{x}dx;(2)∫_0^1(x^2+2x)dx _{0}^{1}(x^{2}+2x)dx 。答:___ 相关知识点: 试题来源: 解析 (1)定积分表示的图像如图4-1-10(1)。(2)定积分表示的图像如图4-1-10(2)。 反馈 收藏...
积分$\int_0^{\pi}e^x \sin 2xdx=$()。 A. $0$ B. $\frac{2}{5}e^{\pi}$ C. $\frac{2}{5}(1+e^{\pi})$ D. $\frac{2}{5}(1-e^{\pi})$ 如何将EXCEL生成题库手机刷题 > 下载刷刷题APP,拍照搜索答疑 > 手机使用 分享 反馈 收藏 举报 ...
I=\int{x^3e^x\sin xdx}=\int{y'e^x\sin xdx}=\int{Dye^x\sin xdx}=\int{\sin x\left( D^2+1 \right) ye^xdx}\\&=\int{e^x\sin x\left( \left( D+1 \right) ^2+1 \right) ydx}=\int{e^x\sin x\left( y''+2y'+2y \right) dx}\\&\text{解出方程}y''+2y'+2y=x...