Question

вычислить
\int\limits^1_0 { \sqrt{2x-1} } \, dx

Answer 1

$\int\limits^1_0 { \sqrt{2x-1} } \, dx = \frac{1}{3} (2x-1)^{3/2}|_{0}^{1} = \frac{1}{3} (2*1-1)^{3/2} - \frac{1}{3} (2*0-1)^{3/2} =\\ = \frac{1}{3} + \frac{i}{3}$