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...
lv$$ | \ln x \cdot x^{2}d_{v} $$ $$ = \int \ln xd \frac{1}{3}x^{3} \\ = \frac{1}{3}x^{3}/nx-| \frac{1}{3}x^{3}d \ln x \\ = \frac{1}{3}x^{3}\ln x- \frac{1}{3}\int x^{2}dx \\ = \frac{1}{3}x^{3}/nx- \frac{1}{9}x^{3}+c $...
【题目】求 $$ \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...
Evaluate each of the following integrals. A) Integral of ln(3x + 4) dx B) Integral of x^4 ln(x^5 + 6) dx Calculate the integral of ln(x^2 - x + 2) Evaluate the indefinite integral. \int \frac{\sqrt {400x^2 - 100{x} dx ...
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: Solve the integral. \int \frac{\ln x}{x^2} dx By signing up, you'll get thousands of step-by-step solutions to your homework questions...
$$ \int \frac{\ln ^{2}x}{x}dx $$ 令$$ \lnx=t $$ $$ \frac{1}{x}dx=dt $$ $$ dx=e^{t}dt. $$ $$ 原式= \sqrt{\frac{t^{2}}{e^{t}}\cdot e^{t}}\cdot e^{t} \\ = \int t^{2}dt \\ = \frac{1}{3}t^{3}+c \\ = \frac{1}{3}(\ln ...
解析 【解析】 $$ \frac { \ln x } { 1 - x } + \ln | \frac { 1 - x } { x } | + C ; $$ 结果一 题目 1求下列不定积分:①f(2-x)dx 答案 解:J(2-xs+dx =号-(2-x)+C 结果二 题目 【题目】1求下列不定积分:①(2-x)dx 答案 【解析】 解:Jx2dx =号...
∫x(lnx)2 dxIntegration by Parts:Integration by parts is one of the techniques for the operation that is pretty helpful for many problems. The use of this technique may become intuitive for us when this becomes more familiar, but in general, this technique is used when we are ...
∫3x−2(x+1)2(x+3)dx View Solution ∫1sin3xcos5xdx 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 HC Verma Solutions for Physics ...