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Unformatted text preview: Review of Integration Math 182 will formally begin with section 5.5. However, recitation sections during the first week will spend time with a review of sections 5.1-5.4 which set the stage for the Integral Calculus . 1 Differentiation Since integration is, in a precise way to be explained later, the inverse to differentiation, it is important to review the basics: 1. For f ( x ) = x 2 + 3 x + 9 find df dx . 2. For f ( x ) = ( x 6 + 9) 100 find df dx . 3. For f ( x ) = sin( x 2 ) cos( x 3 ) find df dx . 4. For y = e 2 x 3 find y primeprime . 5. For y = ln( x 2 sin x 3 x 3- 3 x ) find y prime (hint: simplify first) 2 Areas under Curves Sketch the areas represented by each of the following. Can you evaluate any of them without calculus ? For those that cannot be evaluated without calculus explain how the needed area can be approximated to various degrees of accuracy by using left and right endpoint approximations. Make each of these approximations using 4 subintervals....
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- Spring '08