Question 11 Evaluate the limit: $\lim_{x \to 9} \frac{\int_9^x (4t - 7e^{t-9})dt}{x - 9} = $
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To integrate 4t, we use the power rule for integration, which states that the integral of t^n is (1/n+1)t^(n+1). In this case, n = 1, so the integral of 4t is (1/2)t^2. To integrate -7et, we use the rule for integrating e^x, which states that the integral of e^x Show more…
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