Home
Class 12
MATHS
Evaluate the following : int(0)^(1) ( ...

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

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt(2))[(pi)/(12) + (1)/(9)]`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise EXERCISE 9.5|2 Videos

  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise EXERCISE 9.6|8 Videos

  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise EXERCISE 9.3|17 Videos

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (5 MARKS)|5 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate the following : int_(0)^((1)/(sqrt(2)))(e^(a)sin^(-1)xsin^(-1)x)/(sqrt(1-x^(2)))dx

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

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

Evaluate int(3tan^(-1)x)/(1+x^2)dx

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

Evaluate inta^(tan^(-1)x)/(1+x^2)dx .

Evaluate the following: int sqrt(1+sin((1)/(2)x))dx

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