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AP Calculus AB Formulas

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Section 1

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Integration by parts formula

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Calculus Math

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Mar 1, 2020

Cards (16)

Section 1

(16 cards)

Integration by parts formula

Front

∫udv= uv-∫vdu

Back

Average Value of the Rate of change

Front

av(f) = 1/(b-a) {a integrate b} f(x)dx

Back

Area of a circle

Front

A=πr²

Back

Total Distance

Front

Back

Volume of a cylinder

Front

V=πr²h

Back

Volume by Cross Sections

Front

Back

Volume of revolution (washer)

Front

V = π • the integral from b to a of (R^2-r^2) dx

Back

Volume of revolution (disk)

Front

V = π • the integral from b to a of r^2 dx

Back

Volume of a cone

Front

1/3πr^2h

Back

Net Distance

Front

F(b)-F(a)

Back

Integration by substitution

Front

Like in chain rule of derivatives, using "u" finding "du", spotting it in the integral, replacing it and solving. After taking the integral, re-substitute "u"

Back

Area of a trapezoid

Front

1/2h(b1+b2)

Back

Volume of Cube

Front

V=s³

Back

Volume of Sphere

Front

4/3πr³

Back

Circumference of a circle

Front

2πr

Back

Surface Area of a Cylinder

Front

2πrh+2πr²

Back