Question

Find the most general antiderivative of f(x)=2^(x+1)?

Answer 1

The most general antiderivative of `2^(x+1)` is `2^(x+1)/ln2`+C

Explanation:

The derivative of `2^(x+1)` is `2^(x+1) ln2`.

So, to find the antiderivative of `2^(x+1)` we need to get rid of the factor of `ln2`

The derivative of `2^(x+1)/ln2` is `2^(x+1)`.

So the most general antiderivative of `2^(x+1)` is `2^(x+1)/ln2`+C