∫_0^2▒〖x√(2x-1) dx〗
You asked:
Evaluate the integral: \(\int_{0}^{2}{x \sqrt{2 x - 1}}dx\)
MathBot Answer:
Definite integral
\[\int_{0}^{2}{x \sqrt{2 x - 1}}dx = \frac{i}{15} + \frac{7 \sqrt{3}}{5}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).