\\ = \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 . $$ 结果一 题目 求∫xlnxdx 答案 解∫xlnxdx=∫lnxd(x^2)/2=1/2x^2lnx-∫((x^2)/2)...
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What is the integral of {eq}\int x \ln x dx {/eq}?Integration by Parts:If {eq}f(x) {/eq} is a logarithmic function and {eq}g(x) {/eq} is an algebraic function then integration of {eq}f(x) \cdot g(x) {/eq} is given by ...
Answer to: Evaluate the integral. \int x \ln x dx By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...
du= \frac{1}{x}dx v= \frac{1}{2}x^{2} $$ 利用公式$$ \intuad_{u}dx=uv- \int _{u}du $$ 即$$ \int \times \ln xdx= \frac{1}{2}x^{2}\ln x- \int \frac{1}{2}x^{2}d(\ln x) $$ $$ = \frac{x^{2}}{2}\ln x- \frac{1}{2}\int x^{2}d(\ln x...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
∫sin(lnx)dx=xsin(lnx)-∫xcos(lnx)⋅1/x⋅dx =xsin(lnx)-xcos(lnx)-∫(sin(lnx)dx,) 于是得∫sin(lnx)dx=x/2(sin(lnx)-cos(1nx)+C 结果二 题目 求下列积分:$$ \int \sin ( \ln x ) d x . $$ 答案 解$$ \int \sin ( \ln x ) d x = x \sin ( \ln x ) - ...
View Solution यदि(X0,Y0)समीकरणों(2x)log2=(3y)log3,3logx=2logyका हल है तोX0का मान है View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8,...
Answer to: Evaluate \int x^n \ln x dx . By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can also ask...
【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 ^ { ...