Home
Class 12
MATHS
The value of the integral underset(0)o...

The value of the integral ` underset(0)overset(1)int cot^(-1) (1-x+x^(2))dx`, is

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|10 Videos
  • INDEFINITE INTEGRAL

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

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|22 Videos
  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

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

Similar Questions

Explore conceptually related problems

int_0^1cot^(- 1)(1-x+x^2)dx

The value of integral underset(2)overset(4)int(dx)/(x) is :-

The value of the integral underset(-1)overset(3 )int ("tan"^(1)(x)/(x^(2)+1)+"tan"^(-1)(x^(2)+1)/(x))dx is equal to

The value of the integral underset(e^(-1))overset(e^(2))int |(log_(e)x)/(x)|dx is

The value of the integral overset(pi)underset(0)int log(1+cos x)dx is

Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in [0,a] . Then, the value of the integral overset(a)underset(0)int (1)/(1+e^(f(x)))dx is equal to

The value of the integral overset(1)underset(0)int e^(x^(2))dx lies in the integral

The value of the integral overset(1)underset(1//3)int((x-x^(3))^(1//3))/(x^(4))dx is

The integral underset(1)overset(5)int x^(2)dx is equal to

The value of the integral overset(2a)underset(0)int (f(x))/(f(x)+f(2a-x))dx is equal to