Home
Class 12
MATHS
Evaluate the following Integrals : in...

Evaluate the following Integrals :
`int(tan^(-1)x)/(x^(2))dx`

Text Solution

Verified by Experts

The correct Answer is:
`- (tan^(-1)x)/(x) - 1/2 log |(1+x^(2))/x^2|+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 6|10 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|20 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 4|25 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals: int(sin^(-1)x)/(x^(2))dx

Evaluate the following integral: int_0^1(tan^(-1)x)/(1+x^2)dx

Evaluate the following integrals: int(x^(2)tan^(-1)x)/((1+x^(2)))dx

Evaluate the following integral: int_0^1tan^(-1)((2x)/(1-x^2))dx

Evaluate the following integrals: inte^(x)(tan^(-1)x+(1)/(1+x^(2)))dx

Evaluate the following integral: int_0^1tan^(-1)x\ dx

Evaluate the following Integrals. int tan^5 x dx

Evaluate the following integrals: inte^(x)*(x)/((1+x)^(2))dx

Evaluate the following integrals: inte^(x)(logx+(1)/(x^(2)))dx

Evaluate the following integral: int_0^1tan^(-1)\ ((2x)/(1-x^2))dx