Every problem in the chapter beside the book’s answer, a chapter at a time as you scroll.
Chapter 11: Practice: Double Integrals and Line Integrals in the Plane
62 problems · 185 figures1 §11.1 source ↗
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1 §11.2 source ↗
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2 §11.2 source ↗
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Exchanging the Order of Integration §11.3 source ↗
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3 §11.5 source ↗
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1 §11.6 source ↗
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Change of Variables §11.7 source ↗
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2 §11.8 source ↗
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Change of Variables Example §11.9 source ↗
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2 §11.11 source ↗
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7 §11.14 source ↗
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8 §11.14 source ↗
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9 §11.14 source ↗
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1 §11.15 source ↗
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3 §11.15 source ↗
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2 §11.16 source ↗
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Two Dimensional Curl §11.17 source ↗
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2 §11.18 source ↗
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Green’s Theorem §11.18 source ↗
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1 §11.19 source ↗
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2 §11.19 source ↗
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3 §11.19 source ↗
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4 §11.19 source ↗
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1 §11.20 source ↗
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Finding Area Using Line Integrals §11.20 source ↗
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Flux Across Curves §11.21 source ↗
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1 §11.22 source ↗
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2 §11.22 source ↗
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3 §11.22 source ↗
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4 §11.22 source ↗
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Verify Green’s Theorem in Normal Form §11.22 source ↗
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1 §11.23 source ↗
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Extended Green’s Theorem §11.23 source ↗
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1 §11.24 source ↗
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2 §11.24 source ↗
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6 §11.24 source ↗
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Exercises and answers are adapted from 18.02SC Multivariable Calculus by Prof. Denis Auroux, 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 Auroux or MIT OpenCourseWare.