Evaluate`" : "int_(x/2)^(x/2)(sin^(3)x)dx`

Evaluate: int_(0)^((pi)/(2))(sin^(2)x)/(1+sin x cos x)dx

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

Evaluate int (dx)/(sin^(1/2)xcos^(3/2)x)

Evaluate int_(-1)^((3)/(2))|x sin(pi x)|dx

Evaluate : int_(pi/3)^( pi/3)(sin x+cos x)/(sqrt(sin2x))dx

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

Evaluate: int_(0)^( pi/2)(1)/(cos^(3)x sqrt(2sin2x))dx

Evaluate int_(-pi/2)^(pi/2)(sin2x)/(1+cos^3x)dx

Prove that : int_(0)^(a) f(x) dx = int_(0)^(a) f(a-x)dx hence evaluate : int_(0)^(pi//2) (sin x)/(sin x + cos x) dx

Evaluate: int_(-1)^(1)(sin x-x^(2))/(3-|x|)dx