he value of the integral `inte^(sin^(2x))(cosx+cos^3x)sinx dx` is

The value of the integral inte^(sin^(2)x(cosx+cos^3x)sinx dx is

The value of the integral int e^(sin^2 x) (cos x + cos^3 x) sin x dx is

The value of the integral int_(0)^((pi)/(4))(sinx+cosx)/(3+sin2x)dx is equal to-

The value of the integral int_(0)^(pi//4) (sinx+cosx)/(3+sin2x)dx ,is

The value of the integral sqrt2 int_0^(pi/2) f(sin2x) sinx dx=A (sqrt2/9) int_0^(pi/4) f(cos2x)cosx dx then the value of A is

The value of the integral int_(a)^(a+pi//2) (|sin x|+|cosx|)dx is

The value of the integral int_(a)^(a+pi//2) (|sin x|+|cosx|)dx is

The value of the integral int_(pi/6)^(pi/2) ((1 + sin 2x + cos 2x)/(sin x + cosx)) dx is

The value of the integral int_((pi)/(6))^((pi)/(2))((1+sin2x+cos2x)/(sinx+cosx))dx is equal to-