`(b) int(x^(n-1)dx)/(sqrt(a^n+x^n))`

int(x^(n-1))/(sqrt(1+4x^(n)))dx

int(dx)/(x sqrt(a^(n)+x^(n)))

int(dx)/(x sqrt(a^(n)+x^(n)))

If I_(n)=int(x^(n)dx)/(sqrt(x^(2)+a)) then prove that I_(n)+(n-1)/(n)al_(n-2)=(1)/(n)x^(n-1)*sqrt(x^(2)+a)

int(dx)/(x sqrt(x^(2n)-a^(2n)))

Let I_(n)=int(x^(n))/(sqrt(x^(2)+2x+5))dx then I_(n)=(x^(m-1))/(n)sqrt(x^(2)+2x+5)-lambda I_(n-1)-mu I_(n-2) where lambda,mu and m' are involving n' then

int(2x^(n-1))/(x^(n)+3)dx

int(1)/(x sqrt(1+x^(n)))dx

int((a+b sin^(-1)x)^(n))/(sqrt((1-x^(2))))dx

The value of int_(1//n)^((an-1)//n) (sqrt(x))/(sqrt(a-x+sqrtx))dx , is