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• 05:56, 29 November 2022 Josuem95981@students.laalliance.org talk contribs created page 7.1 Integration By Parts/22 (Created page with "<math> \begin{align} &\int_4^9 \frac{\ln(y)}{y}dy \ \ \ \ \ \ u= \ln(y), du=\frac{1}{y}dy \ \ \ \ dv=\frac{1}{\sqrt y}dy, v=2\sqrt y \\[2ex] \\ & u\cdot v \ - \int v du \ = \ \big(\ln(y) \big) \cdot \big( 2\sqrt y \big) - \int \big(2\sqrt y \ \cdot \frac{1}{y} \big)dy \\[2ex] &= 2\sqrt y \ln(y) - \int\frac{2}{\sqrt y }dy \ = \ 2\sqrt y \ln(y) - 2\int \frac{1}{\sqrt y}dy \ = \ 2\sqrt y \ln(y) - 2\int \frac{1}{\sqrt y} \\[2ex] &=2\sqrt y \ln(y)-2 \cdot 2\sqrt y \ = \...")