Home
Class 12
MATHS
The family of anti-derivatives of f(x)=(...

The family of anti-derivatives of `f(x)=(1)/(ax^(2)+2sqrt(ab)x+b+1)` is

A

`(1)/(2sqrt(a))log|sqrt(a)x+sqrt(b)|+C`

B

`(1)/(sqrt(a))tan^(-1)(sqrt(a)x+sqrt(b))+C`

C

`sin^(-1)(sqrt(a)x+sqrt(b))+C`

D

`e^(sqrt(a)x+sqrt(b))+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

The anti-derivative of x/(cos^(2)x) is

The anti derivative of (sqrt(x)+(1)/(sqrt(x)))

The anti-derivative of (x-1)/((x+1)sqrt(x^(3)+x^(2)+x)) is

Write the primitive or anti-derivative of f(x)=sqrt(x)+(1)/(sqrt(x))

Write the primitive or anti-derivative of f(x)=sqrt(x)+(1)/(sqrt(x))

The anti-derivative of (sqrt(x) + (1)/(sqrt(x))) equals

Write the anti derivative of (3sqrt(x)+(1)/(sqrt(x)))

The derivative of f(x) = (2 sqrt(x) - 1)/(x) is

The derivative of f(x) = x^(2) at x = 1 is

The derivative of f(x) = (sqrt(x) + (1)/(sqrt(x)))^(2) is