int(sin2x)/(sin^4x+cos^4x)dx is equal to...

`int(sin2x)/(sin^4x+cos^4x)dx` is equal to

A

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

B

`tan^(-1)(xtan^2x)+C`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INDEFINITE INTEGRAL
BITSAT GUIDE|Exercise BITSAT Archives |14 Videos
EXPONENTIAL AND LOGARITHMIC SERIES
BITSAT GUIDE|Exercise BITSAT Archives|8 Videos
LIMITS CONTINUITY AND DIFFERENTIABILITY
BITSAT GUIDE|Exercise BITSAT Archives |28 Videos

BITSAT GUIDE-INDEFINITE INTEGRAL -BITSAT Archives

If intf(x)cosxdx=1/2f^2(x)+C," then "f(x) can be
Text Solution
|
If int4/(sin^4x+cos^4x)dx=atan^(-1)((tanx-1/tanx)/b)+C, then find the ...
Text Solution
|
int2/((e^x+e^(-x))^2) dx is equal to
Text Solution
|
int(sin2x)/(sin^4x+cos^4x)dx is equal to
Text Solution
|
If int1/(1+sinx)dx=tan(x/2+a)+b, then
Text Solution
|
int(d(costheta))/(sqrt(1-cos^2theta)) is equal to
Text Solution
|
If 2f(x)=f'(x) and f(0)=3, then f(2) equals
Text Solution
|
If int(dx)/(x^4+x^3)=a/x^2+b/x+log|x/(x+1)|+C, then
Text Solution
|
inte^x((1-x)/(1+x^2))^2dx is equal to
Text Solution
|
If inte^x(1+x).sec^2(xe^x)dx=f(x)+C, then f(x) is equal to
Text Solution
|
If inte^x((1-sinx)/(1-cosx))dx=f(x)+C, then f(x) is equal to
Text Solution
|
int(1+tan^2x)/(1-tan^2x)dx is equal to
Text Solution
|
The value of inte^(x)[(1+sinx)/(1+cosx)]dx is equal to
Text Solution
|
int(sin(2x))/(1+cos^2x)dx is equal to
Text Solution
|