Home
Class 12
MATHS
inte^x[(x^3+x+1)/((1+x^2)^(3/2))]dx...

`inte^x[(x^3+x+1)/((1+x^2)^(3/2))]dx`

A

`xe^(x)sqrt(1+x^(2))+c`

B

`(xe^(x))/((1+x^(2))^(2))+c`

C

`(xe^(x))/(1+x^(2))+c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : SINGLE OPTION CORRECT TYPE)|10 Videos

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|1 Videos

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|14 Videos

  • DIFFERENTIAL EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions|19 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 1 : Single Option Correct Type (1 Mark))|6 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(e^x(x^3+x+1))/(1+x^2)^(3/2)dx

int e^(x)[(x^(3)+x+1)/((1+x^(2))^((3)/(2)))]dx

int(x)/((1+x)^((3)/(2)))dx=

int1/(x^(2)-x^(3))dx=

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

The value of int e^(x)((x^(3)+x+1))/((1+x^(2))^((3)/(2)))dx is

int(1)/(x^(2)-x^(3))dx=

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

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

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