Work through the odd-numbered problems 1-69. Once you have completed the problem set, check your answers.
For problems 1 - 3, put and verify that
For problems 5 – 13 , use the suggested to find du and rewrite the integral in terms of and . Then find an antiderivative in terms of , and, finally, rewrite your answer in terms of .
For problems 15 – 25 , use the change of variable technique to find an antiderivative in terms of .
For problems 27 – 37 , evaluate the definite integrals.
43. Find the area under one arch of the graph.
Problems 45 – 53 , expand the integrand and then find an antiderivative.
Problems 53 – 63 , perform the division and then find an antiderivative.
The definite integrals in problems 65 – 69 involve areas associated with parts of circles (Fig. 2). Use your knowledge of circles and their areas to evaluate the integrals. (Suggestion: Sketch a graph of the integrand function.)
Source: Dale Hoffman, https://s3.amazonaws.com/saylordotorg-resources/wwwresources/site/wp-content/uploads/2012/12/MA005-5.7-Finding-Antiderivatives.pdf
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