Home
Class 12
MATHS
Evaluate: int(logx)/(x^3)\ dx...

Evaluate: `int(logx)/(x^3)\ dx`

Text Solution

AI Generated Solution

To evaluate the integral \( I = \int \frac{\log x}{x^3} \, dx \), we will use the method of integration by parts. ### Step-by-Step Solution: 1. **Identify the Functions for Integration by Parts**: We will use the formula for integration by parts: \[ \int u \, dv = uv - \int v \, du ...
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)/(x^(2))dx .

Evaluate : (i) int(logx)/(x)dx (ii) int(sec^(2)(logx))/(x)dx (iii) (e^(tan^(-1)x))/((1+x^(2)))dx (iv) int(sinsqrt(x))/(sqrt(x))dx

Evaluate int logx dx

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

int (logx)^3/(x)dx

int(logx)/(x^(2))dx=?

int(logx)/(x)dx=?

int(logx-1)/(x)dx

int((logx)^n)/(x)dx=