← MATH 01131 · Calculus II
MATH 01131 · Applications
Area between curves
Definition
Area = ∫ₐᵇ |f−g| dx (top minus bottom) or ∫ |right−left| dy. Find intersection points for limits; split where which curve is above changes.
Read this
Sketch first. Solving f(x)=g(x) gives bounds.
If easier horizontally, integrate with respect to y.
Absolute value matters — signed integral is not area.
Drill with flashcards
Flip through these until you can say the answer before revealing it.
Flashcards · 1 / 3
Click the card to flip
Try this
Attempt each problem first, then open the worked solution.
1.Area between y=x² and y=x+2.