Answer to: Find the indefinite integral, int 1 x ln x^2 dx. (Remember to use ln(|u|) where appropriate. By signing up, you'll get thousands of...
【解析】 $$ 2 \ln 2 - 1 $$ 结果一 题目 【题目】用Newton-Leibniz公式计算下列定积分∫_(-1)^1|x|dx 答案 【解析】∫_(-1)^1|x|dx=∫_(-1)^9-xdx+∫_0^1xdx=-1/2x^2|_(-1)^0+1/2x^2 或∫_(-1)^1|x|dx=2∫_0^1|x|dx=2∫_0^1xdx=x^2∫_0^1=1.(...
Evaluate ∫01ln(4+x2)dx. Integration By Parts Let f be a function such that f(x)dx=u(x)v′(x)dx Then, the integration by parts is given by ∫f(x)dx=∫u(x)v′(x)dx=u(x)v(x)−∫u′(x)v(x)dx In other form, ∫udv=uv−∫vdu Answer and Explanation: ...
【解析】 $$ \int^{2}_{1}x \ln ^{x}dx $$ $$ = \frac{1}{2}\int _{1}^{2}|nxd(x^{2}) \\ = \frac{1}{2}(x^{2}|nx|^{2}- \int _{1}^{2}xdx) \\ = \frac{1}{2}(x^{2}\ln ^{x}_{1}^{2}- \frac{1}{2}x^{2}|_{1}^{2}) \\ = \frac{1...
View Solution ∫x(logx)2dx View Solution ∫[logx−11+(logx)2]2dx = View Solution Exams IIT JEE NEET UP Board Bihar Board CBSE Free Textbook Solutions KC Sinha Solutions for Maths Cengage Solutions for Maths DC Pandey Solutions for Physics ...
View Solution ∫(x−1)dx(1+x)(1+x2) View Solution ∫ln(√1+x+√1−x)dx View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation ...
lv$$ | \ln x \cdot x^{2}d_{v} $$ $$ = \int \ln xd \frac{1}{3}x^{3} \\ = \frac{1}{3}x^{3}/nx-| \frac{1}{3}x^{3}d \ln x \\ = \frac{1}{3}x^{3}\ln x- \frac{1}{3}\int x^{2}dx \\ = \frac{1}{3}x^{3}/nx- \frac{1}{9}x^{3}+c $...
Solution 1:∫01ln(1+x)1+x2dx=∫0π4ln(1+tanx)dx=∫0π4ln(1+tan(...
【题目】利用留数定理计算下列积分:$$ \int _ { 0 } ^ { + \infty } \frac { \ln ^ { 2 } x } { 1 + x ^ { 2 } } d x ; $$ 相关知识点: 试题来源: 解析 【解析】 $$ \frac { \pi ^ { 3 } } { 8 } ; $$
View Solution The value of the integral∫∞0xlogx(1+x2)2dxis View Solution 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 ...