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This is problem 21 in chapter 6 .6.
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This problem is asking us to find the integral of this expression.
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Right now as it is, you cannot take the anti -derivative of this term.
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If it was just one of these terms, it would be a lot simpler.
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That since we have 2 t minus 7 to the 73rd power, there's no rule that we've learned where we can just take the integral in once easy.
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Step.
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So we need to use u substitution here.
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The only term that we can you equal to is the one inside the 73rd power, which is 2t minus 7.
00:47
Taking the derivative of both sides, we have du is equal to 2dt.
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Solving for dt to replace this in the original expression is du over 2.
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Now what we have left in the integral is u to the 73rd power, multiply by du over 2...