Calculus: Single Variable Part 3 - Integration

Penn develops integration through differential equations and calculation techniques before examining the fundamental theorem of integral calculus. A later section deals with more difficult integrals. It is a focused continuation in the single-variable sequence, suited to comparing the relationship between antiderivatives, accumulated change and the limits of symbolic calculation.

What you will learn

• Relate integration to differential equations.
• Compare techniques for calculating integrals.
• Explain the connection expressed by the fundamental theorem.

Who this suits

Coursera labels the course mixed level. Preview the expected differentiation and algebra knowledge before beginning this part of the sequence.

Before you enroll

Work through the algebra as well as the numerical answer. Sketch the function or region involved and check which assumptions allow the chosen calculus method to apply.

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Put it into practice

Compute the same accumulated quantity analytically and with a numerical approximation. Explain the sources of difference between the two results.

Source and review

This overview is based on the provider's published information, checked on 12 October 2026. It is an editorial assessment, not a claim that we completed the resource. Time filters are approximate study ranges; projects and exercises can take longer.

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