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Calculus Flash Cards

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Section 1

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Name the method to evaluate ∫ln u du

Front

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Calculus Math

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Mar 1, 2020

Cards (11)

Section 1

(11 cards)

Name the method to evaluate ∫ln u du

Front

by parts (with ln u going down)

Back

When does a geometric series converge?

Front

When |r| < 1

Back

What is the error estimate using the first n terms of a convergent alternating series?

Front

Error is less than a_(n-1) (the first unused term).

Back

Length of a plane curve with respect to t

Front

∫√((dx/dt)^2 + (dy/dt)^2

Back

Interval of convergence for the Maclaurin series for sin x

Front

all real numbers

Back

State the Alternating Series Test

Front

If i) a_n is a alternating series ii) a_(n + 1) < a_n, and iii) lim as n -> ∞ a_n = 0

Back

Interval of convergence for the Maclaurin series for arctan x

Front

|x| < 1

Back

Form of a logistical growth differential equation: dy/dt =

Front

ky(P - y). Note: the coefficient of y must be -1

Back

What is the formula for washers?

Front

Back

Maclaurin Series for ln (x + 1)

Front

Back

Polar area formula

Front

(1/2)∫r^2 d theta

Back