Home
Class 12
MATHS
int(0)^(1)cot^(-1)(1-x+x^(2))dx...

`int_(0)^(1)cot^(-1)(1-x+x^(2))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(2)-log2`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|58 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise EXERCISE 9B ( MULTIPLE CHOICE TYPE QUESTIONS )|6 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise VERY SHORT QUESTIONS|24 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2016)|3 Videos
  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

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

int_(0)^(1)cos^(-1)x dx

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

int_(0)^(a)cos^(-1).(1-x^(2))/(1+x^(2))dx

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

The value of int_(0)^(1)(tan^(-1)x)/(cot^(-1)(1-x+x^(2)))dx is____.

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

int_(0)^(1)2e^(x)dx

The value of int_(0)^(1)cos^(-1)(x-x^(2))-sqrt((1-x^(2))(2x-x^(2)))dx is equal to ___________.

int _(0)^(1)(dx)/(1-x+x^2)