" 2."int_(0)^((pi)/(2))(dx)/(5+4sin x)=(2)/(3)tan^(-1)(1)/(3)

int_(0)^(pi//2)(1)/(5+13 sin x) dx=

int_(0)^(pi//2)(1)/(13+5sin x)dx=

int_(0)^(pi//2)(dx)/(1+tan^(3)x)=

int_(0)^(1)(tan^(-1)x)/(x)dx is equals to int_(0)^((pi)/(2))(sin x)/(x)dx(b)int_(0)^((pi)/(2))(x)/(sin x)dx(1)/(2)int_(0)^((pi)/(2))(sin x)/(x)dx(d)(1)/(2)int_(0)^((pi)/(2))(x)/(sin x)dx

int_(0)^( pi/2)(dx)/(1+tan^(5)x)

int_(0)^(pi//2)(1)/(4-3 sin^(2)x)dx=

int_(0)^((pi/2)^(1/3))x^(5)sin x^(3)dx

The value of int_(-((pi)/(4))^((1)/(3)))^(((pi)/(4))^((1)/(3)))(x^(2))/((1+sin^(2)x^(3))(1+e^(x)^^7))dxis (a) (1)/(3)tan^(-1)sqrt(2)(b)(1)/(3sqrt(2))tan^(-1)sqrt(2)(c)int_(0)^((pi)/(4))(sec^(2)dx)/(sec^(2)x+tan^(2)x)(d)(1)/(3)int_(0)^((pi)/(4))(sec^(2)dx)/(sec^(2)x+tan^(2)x)

int_(0)^(pi//2)(1)/(1+tan^(3)x)dx=