Home
Class 12
MATHS
int(0)^(1)xtan^(-1)xdx...

`int_(0)^(1)xtan^(-1)xdx`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(4)-(1)/(2)`
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)xsin^(-1)xdx

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

If 2int_(0)^(1)tan^(-1)xdx=int_(0)^(1)cot^(-1)(1-x+x^(2))dx then int_(0)^(1)tan^(-1)(1-x-x^(2))dx is equal to

int_(0)^(1)(tan^(-1)xdx)/((1+x^(2))^((3)/(2)))

Prove the following int_(0)^(1)sin^(-1)xdx=pi/2-1

Let I_n=int_0^1x^ntan^(-1)xdx." Then prove that "(n+1)I_(n)+(n-1)I_(n-2)=pi/2-1/n"

int_(0)^(pi)xcos^(2)xdx

Prove the following int_(0)^(pi/4)2tan^(3)xdx=1-log2

Evaluate: int_(0)^(pi)xsin^(2)xdx

Show that, int_(0)^(pi)sin^(3)xdx=2int_(0)^((pi)/(2))sin^(3)xdx and hence, find the value of int_(0)^(pi)sin^(3)xdx .