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int(xlnx)/((x^2-1)^(3/2))dx 04:33 int(e^(x))/((1+x)^(3))dx-int(e^(x))/(2(1+x)^(2))dx= 02:16 (i) \ int \ (x^3-1)/(x^2) \ dx quad (ii)int \ (x^(2//3)+1)dx 01:29 int(xlnx)/(x^(2)-1)^(3//2) dx equals 05:24 निमिन्...
\\ = \frac { 1 } { 2 } x ^ { 2 } \ln x - \frac { 1 } { 2 } \int x d x = \frac { 1 } { 2 } x ^ { 2 } \ln x - \frac { 1 } { 4 } x ^ { 2 } + C . $$ 结果一 题目 求∫xlnxdx 答案 解∫xlnxdx=∫lnxd(x^2)/2=1/2x^2lnx-∫((x^2)/2)...
Answer to: Find the following integral: \int \frac{\ln (x)}{\sqrt x} dx By signing up, you'll get thousands of step-by-step solutions to your...
Find {d (x^2 + 4 x - 7)} / {dx}. Find \int\limits_0^1 \frac{x}{x^2+4} dx Find dy/dx: y = x ( sin(lnx) + cos(lnx)). Find dy} \over {dx for y = {x^3 \over x^2} - 2. Find dy/dx given that y= \frac{e^{z^3+2}\sec((x^2+1)^4) \tan^4(x^3...
【解析】 解:由定积分分部积分公式 $$ \int _ { 1 } ^ { e } x \ln x d x = \int _ { 1 } ^ { e } \ln x d \frac { x ^ { 2 } } { 2 } - \frac { x ^ { 2 } } { 2 } \ln x | _ { 1 } ^ { e } - \int _ { 1 } ^ { e } \frac { x ^ { ...
What is inte^(e^(x))e^(x) dx equal to ? 01:12 What is intsin^(2)xdx+intcos^(2)xdx equal to ? 01:05 What is int(xcosx+sinx)dx equal to 02:07 What is int(dx)/(sqrt(4+x^(2))) equal to ? 01:08 What is inte^(lnx) dx equal to ? 01:04 What is int(dx)/(xl...
∫sin(lnx)dx=xsin(lnx)-∫xcos(lnx)⋅1/x⋅dx =xsin(lnx)-xcos(lnx)-∫(sin(lnx)dx,) 于是得∫sin(lnx)dx=x/2(sin(lnx)-cos(1nx)+C 结果二 题目 求下列积分:$$ \int \sin ( \ln x ) d x . $$ 答案 解$$ \int \sin ( \ln x ) d x = x \sin ( \ln x ) - ...
Evaluate:∫[ln(lnx)+1(lnx)2]dx View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board,...
设f(x)有原函数xlnx,则∫xf(x)dx=()。