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

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

A

`(1)/(e) log | x^(e) + e^(x) | C `

B

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

C

`- (1)/(e) log | x^(e) + e^(x) | + C `

D

`-e log |x^(e) + e^(x) | + C`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE -II|157 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos
  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|16 Videos
  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos
  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

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

int ((1+x)e^(x))/(cos^(2)( xe^(x)))dx=

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

int_(1)^(e) e^(x)((x-1)/(x^(2)))dx=

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

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

If int (e^(x)-e^(-x))/(e^(2x)+e^(-2x))dx=A ln |(e^(x)+e^(-x)+B)/(e^(x)+e^(-x)-B)|+c then AB=

int_(-1)^(1)(x^(27)Cos x + e^(x))dx=

int (e^(x))/(e^(2x)+2e^(x)+5)dx=