Home
Class 12
MATHS
If int (1)/(4-3 cos^(2) x+5sin^(2)x)dx=(...

If `int (1)/(4-3 cos^(2) x+5sin^(2)x)dx=(1)/(3)tan^(-1)(f(x))+c`,then f(x)equals :

A

`2tan x `

B

`3 tan x`

C

`sqrt(2)tan x`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGERALS

    MODERN PUBLICATION|Exercise MCQs Multiple Choice Questions Level-II|20 Videos
  • INDEFINITE INTEGERALS

    MODERN PUBLICATION|Exercise Latest Questions From AIEEE/JEE Examinations|5 Videos
  • HYPERBOLA

    MODERN PUBLICATION|Exercise Recent Competitive Questions|5 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|10 Videos

Similar Questions

Explore conceptually related problems

If int (sinx)/(sin^(2)x+4cos^(2)x)dx=-(1)/(sqrt(3))tan^(-1)((sqrt(3))/f(x))+c ,then f(x) equals :

int(sin2x)/(2cos^(2)x+3sin^(2)x)dx equals

Find int (1)/( sin x cos^(3) x) dx

If int(1)/((x^2+1)(x^2+4))dx=a tan^(-1). x+b tan^(-1).(x)/(2)+c , then :

If f(x)=f'(x) and f(1) =2 , then f(3) equals :

If int e^(x)(1+x)sec^(2)(xe^(x))dx = f(x) +c then f(x) equal to

If int (e^(x)-1)/(e^(x)+1) dx = f(x) + c then f(x) =

If f(x) = x tan^(-1)x , then f^(')(1) is equal to

Find int(dx)/(cos^2 x (1- tan x)^2)

If int (1)/(f(x))dx=log [ f(x)]^(2)+c , then f(x) is equal to: