Integrate `int(x^(3)-x+1)dx`

Integrate int e^(-x)dx

The integral int(2x^(3)-1)/(x^(4)+x)dx is equal to : (Here C is a constant of integration)

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

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

Find the integral int(4e^(3x)+1)dx

Evaluate the following integration int cos^(3)x dx

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

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

Let f(x) be a polynomial of degree three f(0) = -1 and f(1) = 0. Also, 0 is a stationary point of f(x). If f(x) does not have an extremum at x=0, then the value of integral int(f(x))/(x^3-1)dx, is

Find the following integrals:(i) int(x^3-1)/(x^3)dx (ii) int(x^(2/3)+1)dx (iii) int(x^(2/3)+2e^x-1/x)dx