int_((1)/(pi))^((2)/(pi))(sin(1/x))/(x^(2))dx

int_((1)/(pi))^((2)/(pi))(1)/(x^(2))sin.(1)/(x)dx

int_(1//pi)^(2//pi)(sin(1//x)+cos(1//x))/(x^(2))dx=

int_(-(pi)/(2))^((pi)/(2))(sin^(2)x)/(1+2^(x))dx=

Examples: int_(-(pi)/(2))^((pi)/(2))(x sin x)/(e^(x)+1)dx

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

int_(-pi)^( pi)(sin^(2)x)/(1+a^(x))dx

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