Evaluate $\int_{0}^{4} \sqrt{2 x + 1}\,dx$.

Explanation

1. 01

   An antiderivative is $F(x) = \frac{\left(2 x + 1\right)^{\frac{3}{2}}}{3}$.

2. 02

   By the fundamental theorem, the integral is $F(4) - F(0) = \frac{26}{3}$.