Find the indefinite integral, integral (x^4) - 4x dx

∫ (-4 x+x^4)dx = ∫ x^4 dx - 4 ∫ x dx

The integral of x is x^2/2:

= ∫ x^4 dx - 2x^2

The integral of x^4 is x^5/5:

Ans: x^5/5 - 2 x^2 + C