MATH 141 › Lesson 11 of 12

Fundamental Theorem of Calculus

Lesson 11 · OKSTEM College · AS Computer Science

Fundamental Theorem of Calculus

Work through the concepts below, then test yourself with the knowledge check.

Interactive Lab

Knowledge Check

FTC Part 1: d/dx ∫[a,x] f(t)dt =

FTC Part 2: ∫[a,b] f(x)dx =

The FTC links differentiation and integration as

To evaluate ∫[0,1] x² dx using FTC:

Net area vs total area: to find total area when f changes sign, you must

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