Home
Class 12
MATHS
int(a^(x)+b^(x))/(a^(x)b^(x))dx=...

`int(a^(x)+b^(x))/(a^(x)b^(x))dx=`

A

`(a^(-x))/(loga)+(b^(-x))/(logb)+c`

B

`(b^(-x))/(logb)-(a^(-x))/(loga)+c`

C

`(-a^(-x))/(loga)-(b^(-x))/(logb)+c`

D

`(a^(x)+b^(x))log(ab)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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

int(a^(x)-b^(x))/(c^(x))dx

int((a^(x)+b^(x))^(2))/(a^(x)b^(x))dx

Evaluate: (i) int(2^(x)+3^(x))/(5^(x))dx (ii) int((a^(x)+b^(x))^(2))/(a^(x)b^(x))dx

int(a^(x)-b^(x))dx=

int_(0)^(oo)(a^(-x)-b^(-x))dx=

int_(0)^(oo)(a^(-x)-b^(-x))dx

Evaluate :int(a)/(a^(x)b^(x))dx

int_(0)^(1)(dx)/((x-a)(x-b))=

int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx. Hence evaluate : int_(a)^(b)(f(x))/(f(x)+f(a+b-x))dx.

int_(a)^(b) sqrt((x-a)/(b-x))dx