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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 ...
【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.(|x|是偶函数)相关...
dxx 2 ln 解答: 令,xuln=xdxdvln= 則dx x du 1 =,xxxv−=ln () ∫ dxx 2 ln ()() ∫ −−−=dx x xxxxxxx 1 lnlnln利用分部積分法 ()() ∫ −−−=dxxxxxx1lnlnln求出() ∫ −dxx1ln=()xxxx+−ln
解析 【解析】 $$,解: \int1n(1+x)dx \\ =x \ln(1+x)- \int \frac{x}{1+x}dx \\ =x \ln(1+x)- \int \frac{1+x-1}{1+x}dx \\ =x \ln(1+x)- \int 1dx+ \int \frac{1}{1+x}dx \\ =x \ln(1+x)-x+1n(1+x)+c $$ (c为任意常数) ...
Answer to: The integral \int_{0} ^{1} ln x dx converges Find its value, using limit notation correctly and simplifying your final answer. You will...
Solve the integral from 0 to ln4 of e2x dx. Solve the following integral: int x + 1 x3 - x2 dx Solve the integral \int_0^2 \int_{y/2}^1 e^{x^2} dx dy Solve the integral of sqrt(17 + 4x^2) dx from 0 to 1.
\\ = \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 . $$ 结果一 题目 求∫xlnxdx 答案 解∫xlnxdx=∫lnxd(x^2)/2=1/2x^2lnx-∫((x^2)/2)...
Answer to: Evaluate the integral from 1 to infinity of (ln (x)/x) dx By signing up, you'll get thousands of step-by-step solutions to your homework...
\ln x = 0 , $$ 而$$ \int _ { 0 } ^ { 1 } \frac { d x } { \sqrt [ 3 ] { x ^ { 2 } } } $$收敛,因此$$ \int _ { 0 } ^ { 1 } \frac { - \ln x } { \sqrt { x } } d x $$ 数.由此可得½ $$ \frac { \ln x } { \sqrt { x ...