Summations Flashcards by Audrey Harper

Q

Area Under the Curve

Left sided rectangles _
Right sided rectangles _
Midpoint rectangles _
Trapezoids _

A

Ef(x1), Ef(x2), Ef [(x2+x1)/2], 1/2[ f(x1) + f(x2)]

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Q

Area of Shape

Endpoints are _
Must use numbers from _
Use the change in x not x

A

0, table

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Q

E[f(x) +- g(x)]

A

Ef(x) +- Eg(x)

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Q

Ecf(x)

A

cEf(x)

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Q

Ec

A

nc or c(n-a+1)

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Q

Ei

A

n(n+1)/2

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Q

Ei^2

A

n(n+1)(2n+1)/6

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Q

Ei^3

A

[n(n+1)/2]^2

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Q

Riemann Sum (Right)

lim(n->infinity)E[(b-a)/a] f(a + [(b-a)/a]i)
Sum of infinite _ of _ times _

A

Rectangles, width, height

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Q

Integral

-Area under the curve of _ on _

A

f(x), [a,b]

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Q

S(ab)f(x)dx

A

-S(ba)f(x)dx

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Q

S(ac)f(x)dx

A

S(ab)f(x)dx + S(bc)f(x)dx

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Q

S(ab) [f(x) + g(x)]dx

A

S(ab)f(x)dx + S(ab)g(x)dx

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Q

S(ab)cf(x)dx

A

cS(ab)f(x)dx

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Q

S(ab)c

A

c(b-a)

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Q

Area on a Graph

Area should be positive
- to - means area is _
- to + means area is _

Study These Flashcards

A

Positive, negative