Home
Class 12
MATHS
What is int e^(x ln (a)) dx equal to ?...

What is `int e^(x ln (a)) dx` equal to ?

A

`(a^(x))/(ln (a)) + c`

B

`(e^(x))/(ln (a)) + c`

C

`(e^(x))/(ln (ae)) + c`

D

`(ae^(x))/(ln (a)) + c`

Text Solution

Verified by Experts

The correct Answer is:
A

`int e^(x ln (a)).dx = int e^(x) .dx = (a^(x))/(ln (a)) + c`
Promotional Banner

Topper's Solved these Questions

  • HEIGHT & DISTANCE

    NDA PREVIOUS YEARS|Exercise Math|45 Videos
  • MATRICES & DETERMINANTS

    NDA PREVIOUS YEARS|Exercise MQS|240 Videos

Similar Questions

Explore conceptually related problems

What is inte^(ln(tanx)) dx equal to ? Where e is the constant of integration.

int e^(x log e^(a))dx

What is int e^(e^(x)) e^(x) dx equal to ?

What is int_(1)^(x) ln x dx equal to ?

int e^(-ln x^(2))dx

int e^(ln(tan x))dx

int e^(x log a) e^(x) dx is equal to

What is int ln (x^(2)) dx equal to ?

int e^(x ln a)*e^(x)dx