If int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^...

If `int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^(-1)[f(x)]+c`, then `f(pi/3)=`

A

(a) `1`

B

(b) `2`

C

(c) `3`

D

(d) `1/3`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

int(sin^(4)x-cos^(4)x)dx=

int (sin2x)/(sin^4x+cos^4x) dx

int(sin^4x-cos^4x) dx =

int (dx)/((4sin^(2)x+5cos^(2)x))=?

If int(2^(x))/(sqrt(1-4^(x)))dx=k.sin^(-1)(2^(x))+c , then : k=

int_(0)^(pi//2)(sin^(4)x)/(sin^(4)x + cos^(4)x)dx= (a) π (b) π/4 (c) 0 (d) π/2

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

If : f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)/(1+tanx)," then: "f'((pi)/(4))=

If int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^(-1)[f(x)]+c, then f(pi/3)=
Text Solution
|
int(sin x-cos x)/(sqrt(1-sin2x))e^(sin x)cos xdx, where [x in((pi)/(4)...
Text Solution
|
Let f(x)=intx^(sinx)(1+xcosxdotlnx+sinx)dxa n df(pi/2)=(pi^2)/4dot The...
Text Solution
|
int(sin((pi)/(4)-x)dx)/(2+sin2x)=A tan^(-1)(f(x))+B, where A, B are co...
Text Solution
|
If f(x) is continuous at x=(pi)/(4) where f(x)=(2sqrt(2)-(cos x+sin x)...
Text Solution
|
If int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^(-1)[f(x)]+c, then f(pi/3)=
Text Solution
|
For x in(0, (pi)/(2)) If int(tan x sqrt(sec x)(1+cos^(2)x))/(sqrt(cos ...
Text Solution
|
For x in [0, (pi)/(2)] if int(tan x sqrt(sec x)(1+cos^(2)x))/(sqrt(cos...
Text Solution
|
int (sin 2 xdx)/(sin^(4) x+ cos^(4) x)=tan^(-1) (f(x))+c," then "f((pi...
Text Solution
|