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

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

A

`(1)/(e).x+c`

B

`e.(1)/(x)+c`

C

`log(e^(x)+e^(x))+c`

D

`(1)/(e).log(e^(x)+x^(e ))+c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT-CET EXAM QUESTIONS)|13 Videos
  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos
  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos
  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos
  • LINE IN SPACE

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|44 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate: (i) int(e^(x-1)+x^(e-1))/(e^(x)+x^(e))dx (ii) int(1)/(sin x cos^(2)x)dx

int(x^(e-1)-e^(x-1))/(x^e-e^x)dx

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

int(e^(x)dx)/(e^(x)-1)

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

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

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

int(e^(4x)-1)/(e^(2x))dx

int_(0)^(1)(e^(-x))/(1+e^(-x))dx