Home
Class 12
MATHS
int (e^(2 tan^(-1)x)(1+x)^(2)dx)/(1+x^(2...

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

Text Solution

Verified by Experts

The correct Answer is:
`xe^(2tan^(-1)x)+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Multiple Correct Answers Type|5 Videos

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Short Answer Type Question|39 Videos

  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample questions for Competitive Exams ( D Comprehension Type)|4 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Integrate : int (e^(m tan^(-1)x))/((1+x^(2))^((3)/(2)))dx

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

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

int 5^(x+tan^(-1)x)*((x^(2)+2)/(x^(2)+1))dx .

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

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

int (e^(a sin^(-1)x))/(sqrt(1-x^(2)))dx