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Applications of integration · GRE Mathematics Subject Test · Courselo

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Calculus II: integration and infinite series

Applications of integration

Calculus II: integration and infinite series · Lesson 3 of 4

Lesson 3 of 4

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Unit 2

Calculus II: integration and infinite series

4 lessons · 5 h 25 min of study

Integration techniques and improper integrals1 h 30 min of study
The fundamental theorem, Riemann sums and integral-defined functions1 h of study
Applications of integrationReading · 0%
Infinite series, power series and Taylor series1 h 40 min of study

This unit is ≈16% of the GRE Math, across 4 lessons. Full syllabus

Lesson 3 of 4 · Calculus II: integration and infinite series

Applications of integration

3 quick checks≈4% of the testCore: Core: tested on most papers

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By the end you’ll be able to

Compute areas between curves given in Cartesian, parametric and polar form
Compute volumes of solids of revolution by the disc, washer and shell methods, and volumes of solids with known cross-sections
Compute arc length and area of surfaces of revolution
Apply integrals to average value, work, mass, centroids and centres of mass

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Adaptive questions on applications of integration.

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