Definite integrals by hand and with the calculator Problem set B Answers

1. (a) \(\frac{160}{3}\) ≈ 53.3
2. (b) \(6\)

1. (a) \(- \frac{255}{4}\) = −63.75
2. (b) \(63\)

1. (a) \(\sqrt{2}\) ≈ 1.41
2. (b) \(\frac{\sqrt{3}}{2}\) ≈ 0.866

1. (a) \(8\)
2. (b) \(20\)

1. (a) \(\ln\left(\frac{11}{3}\right)\) ≈ 1.30
2. (b) \(10\)

\(3\sqrt3\) = 5.20

29.8 grams

\(\frac{288}{5}\) = 57.6 m

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k = 4

\(\frac{45}{4} + 4\ln 8\) ≈ 19.6