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4 Cards in this Set

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  • Back
Surface area of a right circular cylinder
A = 2πrh
Area of a washer
A = π(r1^2 - r2^2)

r1 is the outer radius and r2 is the inner radius
Basic steps for finding volume of a regions bounded by a curve and rotated
(1) Find the best suited cross section and adapt it to a formula, i.e., cylinder or washer
(2) Integrate formula over x axis if cross section is perpendicular to the x axis, and integrate over y axis if cross section is perpendicular to y axis
Mean Value Theorem for definite integrals
If f(x) is continuous on [a, b] then there exists a value c in [a, b] such that f(c) = (1/(b-a)) ∫ [b, a] f(x) dx