int (sin 2 xdx)/(sin^(4) x+ cos^(4) x)=t...

`int (sin 2 xdx)/(sin^(4) x+ cos^(4) x)=tan^(-1) (f(x))+c," then "f((pi)/(3))=`

A

1

B

2

C

3

D

`(1)/(3)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

int sin^(2) x cos^(2) xdx=

If int (1)/(cos^(6) x + sin^(6) x) dx = tan^(-1) f(x) + C then f(x) =

Evaluate int sin^(5) x cos^(4) xdx

int_(0)^(pi//2) (16sin x. cos x)/(sin^(4) x + cos^(4)x)dx=

int(1)/(4sin^(2)x+3sin x cos x+2 cos^(2)x)dx=

int(2 sin x+3 cos x+4)/(3 sin x+4 cos x+5)dx.

Show that int_(0)^(pi//4)(dx)/(cos^(4)x - cos^(2)x sin^(2) x + sin^(4)x) = (pi)/(2)

int (sin 2 xdx)/(sin^(4) x+ cos^(4) x)=tan^(-1) (f(x))+c," then "f((pi...
Text Solution
|
int(sin x-cos x)/(sqrt(1-sin2x))e^(sin x)cos xdx, where [x in((pi)/(4)...
Text Solution
|
If intsin^(-1)xcos^(-1)xdx=f^(-1)(x) [A x-xf^(-1)(x)-2sqrt(1-x^2)]+2x...
Text Solution
|
Let f(x)=intx^(sinx)(1+xcosxdotlnx+sinx)dxa n df(pi/2)=(pi^2)/4dot The...
Text Solution
|
The period of f(x)=(sin(pi x))/(2)+2(cos(pi x))/(3)-(tan(pi x))/(4) is
Text Solution
|
int (tan xdx) / (sqrt (sin ^ (4) x + cos ^ (4) x)) =
Text Solution
|
int (- (pi) / (2)) ^ ((pi) / (2)) cos x sin ^ (4) xdx =
Text Solution
|
If int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^(-1)[f(x)]+c, then f(pi/3)=
Text Solution
|
If f(x)=(1-sin^(2)x)/(1+sin^(2)x)," then "3f'((pi)/(4))-f((pi)/(4))=
Text Solution
|