Home
Class 12
MATHS
int \ (sin 2x)/(sin^2 x + 2 cos^2 x) \ d...

`int \ (sin 2x)/(sin^2 x + 2 cos^2 x) \ dx` (i) `-log(1+sin^2x)+C` (ii) `log(1+cos^2x)+C` (iii) `-log(1+cos^2x)+C` (iv) `log(1+tan^2x)+C`

A

`log (1+cos^(2)x)+C`

B

`log(1+tan^(2)x)+C`

C

`-log(1+sin^(2)x)+C`

D

`-log(1+cos^(2)x)+C`.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • 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

int(1)/(sin^(2)x cos^(2)x)dx=

int (sin 2x)/(1 + cos^(2) x) dx =

in (sin^(2)x)/(1+cos x) dx=

int (sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx =

int (cot x)/(log (sin x) ) dx =

int1/(cos 2x +sin^(2)x) dx =

int(sin(2x)dx)/(1+cos^(2)x)=

int_(-pi)^(pi) (2x(1 + sin x))/(1 + cos^2 x) dx is :

int log(sin x) . (cot x)dx .

int x log 2x dx .