Home
Class 11
MATHS
12/(sqrt(sin^(4)x+cos^(4)x))/(sin^(3)x c...

12/(sqrt(sin^(4)x+cos^(4)x))/(sin^(3)x cos x)dx,x in(0,(pi)/(2))

Promotional Banner

Similar Questions

Explore conceptually related problems

int(sqrt(sin^(4)x+cos^(4)x))/(sin^(3)x cos x)dx,x in(0,(pi)/(2))

int(sqrt(sin^(4)x+cos^(4)x))/(sin^(3)x cos x)dx,x in(0,(pi)/(2))

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

int_(0)^(pi//4) (sin^(2) x cos^(2) x)/((sin^(3) x + cos^(3)x)^(2))dx=

int_0^(pi/2) sin^4x/(sin^4x+cos^4x) dx=

int_ (0) ^ (pi / 4) (sin ^ (2) x cos ^ (2) x) / ((sin ^ (3) x + cos ^ (3) x) ^ (2)) dx

int_ (0) ^ (pi / 4) (sin ^ (2) x cos ^ (2) x) / ((sin ^ (3) x + cos ^ (3) x) ^ (2)) dx

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

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

int_ (0) ^ ((pi) / (2)) (sin x) / (sin x + cos x) dx = int_ (0) ^ ((pi) / (2)) (cos x) / (sin x + cos x) dx = int_ (0) ^ ((pi) / (2)) (dx) / (1 + cot x) = int_ (0) ^ ((pi) / (2)) (dx) / ( 1 + time x) = (pi) / (4)