int x cot^(2)xdx

int7x cot^(2)xdx

int x cos^(2)xdx

If (cot x+(cot^(2)x)/(2)+(cot^(3)x)/(3)+...+(cot^(99)x)/(99))+ int(1+cot x)(1+cot^(99)x)dx =-lambda[int cot^(2)xdx+int cot^(3)xdx+int cot^(4)xdx+...+int cot^(98)xdx] , then value of lambda is equal to

int sin x cot^(3)xdx

Evaluate: int x cot^(-1)xdx

(b) int x cot^(-1)xdx

Evaluate: (i) int tan^(2)xdx (ii) int cot^(2)xdx

int x sec^(2)xdx

int x tan^(2)xdx=

Evaluate: (i) int x sin3xdx (ii) int x sec^(2)xdx