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Students investigate the product rule of differentiation and integration by parts.
Students will consolidate earlier work on the product rule and on methods of integration. The lesson offers a suitable introduction to the method of integration by parts.
Students use a graphical approach to help them see the significance of each of the component parts of the integration by parts statement: the areas under the curve with respect to u and with respect to v are key concepts.
Students will see the significance of this method, which involves correctly re-stating the function in question in order to take the derivative of one component and the integral of the other.
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