`int_(0)^((pi)/(2))(sin^(4)x)/(sin^(4)x+cos^(4)x)dx`

Evaluate the following : int_(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx

Evaluate the following definite integrals: int_(0)^(pi//2)(sin 2x)/(sin^(4)x+cos^(4)x)dx

int_(0)^((pi)/(2))sin^(4)x cos^(4)xdx

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

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

If I=int_(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx, then the value of I is

Evaluate the following : int_(0)^(pi//4)(sin 2x)/(sin^(4)x+cos^(4)x)dx.

Evaluate :int_(0)^((pi)/(2))(x sin x cos x)/(sin^(4)x+cos^(4)x)dx

(i) int_(0)^(pi//2)(sin^(7)x)/((sin^(7)x+cos^(7)x))dx=(pi)/(4) (ii) int_(0)^(pi//2)(sin^(5)xdx)/((sin^(5)x+cos^(5)x))dx=(pi)/(4)

int _(-pi)^(pi) (sin^(4)x)/(sin^(4) x + cos^(4) x )dx is equal to