Question

Find the integral of `1+x-x^2-x^3`?

Answer 1

`int(1+x-x^2-x^3)dx=x+x^2/2-x^3/3-x^4/4+c`

Explanation:

As `intx^ndx=x^(n+1)/(n+1)`

`int(1+x-x^2-x^3)dx`

= `intdx+intxdx-intx^2dx-intx^3dx+c`

= `x+x^2/2-x^3/3-x^4/4+c`

We add `c`, a constant, as derivative of constant is `0`.