Home
Class 12
MATHS
If int f(x)dx = F(x), f(x) is a continu...

If `int f(x)dx = F(x), f(x)` is a continuous function,then `int (f(x))/(F(x))dx` equals

A

`log_(e)|f(x)|+C`

B

`log_(e)|F(x)|+C`

C

`F(x)+C`

D

`(f(x))^(2)+C`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (Only one answer)|64 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Objective Type Questions (More than one answer)|29 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

int{f(x)g'(x)-f'g(x)}dx equals

int(f'(x))/(sqrt(f(x)))*dx

int(f'(x))/([f(x)]^(2))dx=

Let f:R rarr[0,oo) be a differentiable function so that f'(x) is continuous function then int((f(x)-f'(x))e^(x))/((e^(x)+f(x))^(2))dx is equal to

If int f(x)dx=f(x), then int{f(x)}^(2)dx is equal to

int[f(x)+x.f'(x)]dx=

int(f'(x))/(f(x))dx=log f(x)+c