Home
Class 12
MATHS
Evaluate: int(logx)/((x+1)^2)\ dx...

Evaluate: `int(logx)/((x+1)^2)\ dx`

Text Solution

Verified by Experts

`\int \frac{\ln x}{(x+1)^{2}} `
`\ln x \int \frac{d x}{(x+1)^{2}}-\int \frac{1}{x} \int \frac{d x}{(x+1)^{2}} `
`\ln x \frac{(x+1)^{-2+1}}{-2+1}-\int \frac{1}{x} \frac{(x+1)^{-2+1}}{-2+1} d x `
`-\frac{\ln x}{(x+1)}+\int \frac{1}{x} \frac{1}{(x+1)} d x ` ...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos
  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(logx)/((1+logx)^2)\ dx

Evaluate : int(logx)/(x^(2))dx .

Evaluate int(logx)/((1+logx)^(2))dx .

int(logx)/(x+1)^2dx=

Evaluate int logx dx

Evaluate : int(logx)^(2)dx .

Evaluate int sin(logx)dx .

int(logx-1)/(x)dx

int(logx)/(x)dx=?