Question

Question #b8119

Answer 1

`e^(e^x) + C`

Explanation:

Use the exponent rule `x^(m+n) = x^mx^n`:

`int e^(x+e^x) dx = int e^x e^(e^x) dx`

Let `u = e^x`, `du = e^x dx`

`int e^x e^(e^x) dx = int e^u du = e^u + C = e^(e^x) + C`