int_(0)^((pi)/(2))sqrt(sin phi)cos^((4)/(5))phi d phi

Evaluate the integrals int_(0)^((pi)/(2))sqrt(sin phi)cos^(5)phi d phi

int_(0)^((pi)/(2))sqrt(sin phi)cos^(5)phi d phi

int_(0)^((pi)/(2))sqrt(sin phi cos^(5)phidphi)

int_(0)^(pi//2) sqrt(sin phi) cos^(5) phi d phi .

Evaluate the following definite integrals int_0^(pi/2) sqrt(sin phi) cos^5 phi d phi

Evaluate the integrals int_0^(pi/2) sqrt(sin phi)cos^5 phid phi

Evaluate the definite integrals : underset(0)overset(pi/2)int(sqrt(sinphi)cos^5phi d phi

If int(sqrt(cot x)-sqrt(tan x))/(sqrt(2)(cos x+sin x)))dx=phi(x),x in(0,(pi)/(2)) and phi((pi)/(4))=(pi)/(2) and maximum value of phi(x) is lambda then [5 lambda] equals (.] GIF )