Question

What is the antiderivative of `g(x) = x ^ π`?

Answer 1

`1/(pi+1)x^(pi+1) + C`

Explanation:

Don't let `pi` throw you off. It's just a number. It's about 3.14.

What is the antiderivative of `x` to a constant power? (of `x` to a number?)

Add `1` to the exponent and divide by the new exponent. (And don't forget to add the constant).

The antiderivative of `x^pi` is `1/(pi+1)x^(pi+1) + C`