Recent content by mothership

\begin{equation*} \begin{split} \int_{1}^{9} \frac{3x-2}{\sqrt{x}}dx &= \int_{1}^{9}\frac{3x}{x^{\frac{1}{2}}}dx - \int_{1}^{9}\frac{2}{x^{\frac{1}{2}}}dx \\ \\ &= 3\int_{1}^{9}x^{\frac{1}{2}}dx - 2\int_{1}^{9}x^{\frac{-1}{2}}dx \\ \\ &= 3 \left[ \frac{2}{3}(x^{\frac{3}{2}}) \right]_{1}^{9}...