int(2n)/(1+n^(2))dn

int_ (2) ^ (3) (n) / (1 + n ^ (2)) dn

I=int(sinn)/((1-cos n)^(2))dn

Prove that int(dx)/((1+x^(2))^(n))=(1)/(2(n-1))[(x)/((1+x^(2))^(n-1))+(2n-3)int(dx)/((1+x^(2))^(n-1))],n in N Hence,computer the value of int cos^(4)xdx

int(n^(4))/((n-1)(n^(2)+1))dn

int sqrt((1-n)/(1+n))dn

int sqrt(a^(2)-n^(2))dn

int(n)/(sqrt(n-3))dn

Q.prove that int(e^(n+(1)/(n))+n(1-(1)/(n^(2)))*e^(n+(1)/(n)))dn=n*e^(n+(1)/(n))+C

(sum_(n=1)^10int_(-2n-1)^(-2n)sin^(27)(x)dx+sum_(n=1)^10int_(2n)^(2n+1)sin^(27)(x)dx)