Home
Class 12
MATHS
Evaluate: int0^1x(tan^(-1)x)^2dx...

Evaluate: `int_0^1x(tan^(-1)x)^2dx`

Text Solution

Verified by Experts

The correct Answer is:
`(pi^(2))/(16)-pi/4+1/2 log2`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR MARK QUESTIONS|82 Videos

  • DIFFERENTIAL EQUATIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise 4 MARK QUESTIONS|31 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_(0)^(1)x(tan^(-1)x)^(2)dx

Evaluate : int_(0)^(1)((tan^(-1)x)^(2))/(1+x^(2))dx

Evaluate: int_(0)^(1)(x tan^(-1)x)/((1+x^(2))^(3/2))dx

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

int_(0)^(1)(tan^(-1)x)/(1+x^(2))dx

int_0^1 tan^1x/(1+x^2)dx

Evaluate int_(0)^(1)(tan^(-1)x)/((1+x^(2)))dx

Evaluate int_(0)^(1)(tan^(-1)x)/(1+x^(2))dx

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

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