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:
`(2pi^(2))/(32)-(pi)/(4)+(1)/(2)log2or (pi^(2)-4pi)/(16)+(1)/(2)log2`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    OSWAAL PUBLICATION|Exercise DEFINITE INTEGRALS (VERY TYPE ANSWER TYPE QUESTIONS - II)|2 Videos

  • II PUC TOPPER'S ANSWERS MARCH (2017)

    OSWAAL PUBLICATION|Exercise PART - E Answer any one question :|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OSWAAL PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS - II|43 Videos

Similar Questions

Explore conceptually related problems

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

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

Evaluate: int x tan^(-1)x dx

int_0^(1) tan^(-1) x dx =

Evaluate: int x "tan"^(-1)x dx

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

Evaluate: int_0^(1/2)(xsin^(-1)x)/(sqrt(1-x^2))dx

Evaluate : int_(0)^(1)x(1-x)^(n)dx

int (e^(tan^(-1)x))/(1+x^2) dx .

Evaluate int tan^(-1)x dx .