Home
Class 11
MATHS
int (e^(x) (x^(2) tan^(-1) x + tan^(-1) ...

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

A

` e^(x) tan ^(-1) (x + 1) + c `

B

` tan^(-1) (e^(x)) + c `

C

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

D

`e^(x) tan ^(-1) x + c `

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS

    SURA PUBLICATION|Exercise Additional problems (section - A (1mark))|7 Videos
  • INTEGRAL CALCULUS

    SURA PUBLICATION|Exercise Section - B (2 marks)|4 Videos
  • INTEGRAL CALCULUS

    SURA PUBLICATION|Exercise Exercise 11.12|6 Videos
  • GOVT. MODEL QUESTION PAPER - 2 (2018 - 19)

    SURA PUBLICATION|Exercise SECTION - IV|13 Videos
  • INTRODUCTION OF PROBABILITY THEOREM

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - A|14 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

The value of int_(-4)^(4) [ tan^(-1)((x^(2))/( x^(4)+1)) +tan^(-1) ((x^(4)+1)/( x^(2))) ] dx is

solve tan^(-1) 2x + tan^(-1) 3x = pi/4 , if 6x^2 lt 1 .

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

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

e^(x) sec x ( 1 + tan x )