hw-07-3-trig-subst - Homework for Chapter 7.3 Trigonometric...

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Homework for Chapter 7.3: Trigonometric Substitutions #38 Question A: i) Graph 1/sqrt(1-x^2) ii) Find the integral of 1/sqrt(1-x^2) dx by using the substitution x = cos(theta) iii) Graph your answer to (ii) and visually check that its derivative is 1/sqrt(1-x^2). If the graph of part (i) doesn't look like the deriv. of your answer to part (ii), redo part (ii) before going on! iv) Check your answer by taking the derivative. v) Explain how your answer compares to the one we found in class (or the one in the integral table), which comes from using x = sin(theta) Question B: i) Graph sqrt(1-x^2) ii) Find the integral of sqrt(1-x^2) dx by using the substitution x = cos(theta) iii) Graph your answer to (ii) and visually check that its derivative is sqrt(1-x^2). If the graph of part (i) doesn't look like the deriv. of your answer to part (ii), redo part (ii) before going on! iv) Check your answer by taking the derivative. It takes some work to simplify it--be persistent. v) Explain how your answer compares to the one we found in class
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This note was uploaded on 09/08/2011 for the course MATH 121 at Eastern Michigan University.

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hw-07-3-trig-subst - Homework for Chapter 7.3 Trigonometric...

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