" (1) "(x^(n-1))/(sqrt(1+4x^(n)))

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

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

int_(0)^(1)((3x^(2))/(sqrt(1-x^(6)))+(4x^(3))/(sqrt(1-x^(8)))+(5x^(4))/(sqrt(1-x^(10)))+...." to "n" terms ")dx=

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

Evaluate: inte^x(1+n x^(n-1)-x^(2n))/((1-x^n)sqrt(1-x^(2n)))dx

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)

Evaluate: int e^(x)(1+nx^(n-1)-x^(2n))/((1-x^(n))sqrt(1-x^(2n)))dx

int(e^(x)(1-nx^(n-1)-x^(2n)))/((1-x^(n)) sqrt(1-x^(2n)))d=....+c