Intergrals Flashcards

1
Q

What is an Indefinite intergral

A

It is a function of curves. Not an exact value like a definite intergral. How could it be a difinte value if the x values have no limits? You need end points to have a Definite area!

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2
Q

What are The anti derivatives of four basix function.

x^n?

1/x?

e^x?

a^x?

A

dy/dx a^x= ln(a)(a)

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3
Q

What are the trig antiderivatives

A
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4
Q

What are the formulas for sums of powers of intergers?

x

x^2

x^3

A
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5
Q

What is a remanns sum and how do you write them in sigma notation?

A
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6
Q

how do you find the average value of a function?

A
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7
Q
A
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8
Q
A
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9
Q

Explain The second fundemental theorum of calcus using v(t) and s(t) functions

A

*on the v(t) function Remeber (m/s)*(s) = metres. That is what you are doing basicly when taking the intergral.

The intergral of v(t)|b to a = s(b)-s(a)

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10
Q

What is the 1st fundemental theorum of calculus

A
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11
Q

Explaine why the lower bound of an intergral be any constant and not change the dirivative of that intergral.

A

in the photo. x should be a different variable.

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12
Q

Explain the fundemental theromum of calc. how do functions in the intergral affect the derivative. Wat about functions in the op and bottom?

A
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13
Q

Explain the mean value theorm. Give a real work explain

A
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14
Q

what are the antiderivatives for the exponetial functions

A
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15
Q

What are some antiderivatives involving the log functions. name 3

A
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16
Q

steps for finding area between 2 curves

A
17
Q
A
18
Q
A
19
Q
A