Answer to: Find the indefinite integral (using integration by parts). \int x \:ln\: 2x\:dx By signing up, you'll get thousands of step-by-step...
【题目】求 $$ \int \frac { \ln x } { x } d x $$. 相关知识点: 试题来源: 解析 【解析】 解 因为 $$ \frac { 1 } { x } $$dx凑微分为dlnx,故 $$ \int \frac { \ln x } { x } d x = \int \ln x d \ln x = \frac { 1 } { 2 } \ln ^ { 2 } x + C...
='false' \int x^3 ln ,x, dx Calculate the Integral ='false' \int ^8 _0 \int^2_{y^{1=3 e^{x^4} dxdy Use substitution to evaluate the integral ='false' \int \frac{x^3}{\sqrt {9-x^3 dx Evaluate the integral by making the substitution ='false' \int x^3(9 + x^4)...
2lnx+ln^2x+C 相关知识点: 试题来源: 解析 A.xln^2x+C B.x^2/2ln^2x+C C.2lnx-ln^2x+C D.2lnx+ln^2x+C 答案: c 答案要点: 运用分部积分法intxf^’(x)dx=intxdf(x)=xf(x)-intf(x)dx=x(ln^2x)^’-ln^2x+C=2lnx-ln^2x+C...
View Solution ∫x(logx)2dx View Solution ∫[logx−11+(logx)2]2dx = View Solution Exams IIT JEE NEET UP Board Bihar Board CBSE Free Textbook Solutions KC Sinha Solutions for Maths Cengage Solutions for Maths DC Pandey Solutions for Physics ...
Answer to: Find the indefinite integral: int 2 x dx. By signing up, you'll get thousands of step-by-step solutions to your homework questions. You...
【解析】 $$ 2 \ln 2 - 1 $$ 结果一 题目 【题目】用Newton-Leibniz公式计算下列定积分∫_(-1)^1|x|dx 答案 【解析】∫_(-1)^1|x|dx=∫_(-1)^9-xdx+∫_0^1xdx=-1/2x^2|_(-1)^0+1/2x^2 或∫_(-1)^1|x|dx=2∫_0^1|x|dx=2∫_0^1xdx=x^2∫_0^1=1.(...
∫x2ln(x)dx Question: Use integration by parts to evaluate the following integral. ∫x2ln(x) Integral By Parts: Integrals can not always be solved directly. One of the resources that we can use is the method of integration by parts. ...
du= \frac{1}{x}dx v= \frac{1}{2}x^{2} $$ 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...
Dπloge(12) Dπ32 Prove that :∫π/20log(sin3xcos4x)dx=−7π2log2 View Solution ∫π/20f(sin2x)sinxdx=∫π/20f(sin2x)cosxdx=√2∫π/40f(cos2x)cosxdx View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium ...