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With some experience, it is (usually) not too hard to see what to substitute as {{MATH_65}}. We will work through the following examples in the same way that we did for Example {{CMD_66}}. {{CMD_67}} Compute: {{MATH_68}} {{CMD_69}} Here we set {{MATH_70}}, so {{MATH_71}}. Then it follows that {{MATH_72}}. Therefore {{ENV_73}} Notice that this example is an indefinite integral and not a definite integral, meaning that there are no limits of integration. So we do not need to worry about changing the endpoints of the integral. However, we do need to back-substitute into our answer, so that our final answer is a function of {{MATH_74}}. Recalling that {{MATH_75}}, we have our final answer {{MATH_76}} Reminder: you can always verify your result by differentiating.

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