Question

Evaluate the Integral of `int (2+x+x^13)dx`?

Answer 1

`int \ (2+x+x^13) \ dx = 2x + x^2/2 + x^14/14 +c`

Explanation:

We use the power rule for integration, that is:

`int \ x^n \ dx = x^(n+1)/(n+1) \ \ \ (+c)` for any constant `n != -1`

So, using this, we have:

`int \ (2+x+x^13) \ dx = 2x + x^2/2 + x^14/14 +c`