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

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

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

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

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

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)

If l=int_(0)^(1//2)(dx)/(sqrt(1-x^(2n))), n in N then (Where, [.] denotes G.I.F)

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

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

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