Integrate `I = int(6x^5)/(1+x^6)dx`

int(x^(2))/(1+x^(6)) dx

Integrate int(x*e^(x))/((1+x)^(2))dx .

Evaluate the following integration int(x^(4))/(1+x^(2))dx

Integrate int e^(-x)dx

Integrate : int(dx)/((x+1)^(2)+1)

If the integral I=int(x^(5))/(sqrt(1+x^(3)))dx =Ksqrt(x^(3)+1)(x^(3)-2)+C , (where, C is the constant of integration), then the value of 9K is equal to

Evaluate the following integral : int(x^6+1)/(x^2+1)dx

Integrate: int((5x^2-12)dx)/((x^2-6x+13)^2)

Evaluate the following integration int(x^(2)+3)/(x^(6)(x^(2)+1))dx

int(x-x^5)^(1/5) / x^6 dx