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Calculus

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Section 1

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Washer method

Front

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Calculus Math

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6 years ago

Date created

Mar 1, 2020

Cards (9)

Section 1

(9 cards)

Washer method

Front

∫ pi (outer f(x)^2 - inner g(x)^2) dx (from a to b)

Back

Disc Method (y axis)

Front

∫ pi (f(y))^2 dy (from a to b)

Back

To remember

Front

(f(h+a)-f(a))/h

Back

To remember (trig)

Front

cos(2u)=cos^2(u)-sin^2(u)

Back

Fundamental Theorem of Calculus

Front

The integral on (a, b) of f(x) dx = F(b) - F(a)

Back

Disc rotation around other vertical line (not y-axis)

Front

∫ pi (f(y)+h)^2 dx (from a to b) (h is new vertical line value (x value))

Back

Disc rotation around other horizontal line (not x-axis)

Front

∫ pi (f(x)-h)^2 dx (from a to b) (h is new horizontal line value (y value))

Back

Average Value of a Function

Front

1 / (b - a) ∫ f(x) dx (from a to b)

Back

Disc Method (x axis)

Front

∫ pi (f(x))^2 dx (from a to b)

Back