Every problem in the chapter beside the book’s answer, a chapter at a time as you scroll.
Chapter 9: Practice: The Definite Integral and its Applications
17 problems · 51 figuresIntegration Intuition §9.1 source ↗
Answer
Summation §9.2 source ↗
Answer
Integral of |x| §9.3 source ↗
Answer
Riemann Sum Practice §9.4 source ↗
Answer
Practice with Definite Integrals §9.5 source ↗
Answer
Integral of sin(x) + cos(x) §9.6 source ↗
Answer
Integration by Change of Variables §9.7 source ↗
Answer
Estimating ln(5) §9.8 source ↗
Answer
Logs and Exponents §9.9 source ↗
Answer
Probability Function §9.10 source ↗
Answer
Area of a Smile §9.11 source ↗
Answer
Revolution About the x-axis §9.12 source ↗
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Volume of a Spheroid §9.13 source ↗
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Volume of Revolution Via Washers §9.14 source ↗
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Average Bank Balance §9.15 source ↗
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Weighted Average §9.16 source ↗
Answer
Using Simpson’s Rule for the normal distribution §9.18 source ↗
Answer
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Exercises and answers are adapted from 18.01SC Single Variable Calculus by Prof. David Jerison, which is free to read and download, and are used under the CC BY-NC-SA 4.0 licence. They are taken from the course’s problem and solution PDFs, cropped as printed, and set for the web, so they may differ slightly from the printed page. This adaptation is released under the same licence and is neither affiliated with nor endorsed by Jerison or MIT OpenCourseWare.