Intergrals Flashcards
What is an Indefinite intergral
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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What are The anti derivatives of four basix function.
x^n?
1/x?
e^x?
a^x?
dy/dx a^x= ln(a)(a)
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What are the trig antiderivatives
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What are the formulas for sums of powers of intergers?
x
x^2
x^3
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What is a remanns sum and how do you write them in sigma notation?
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how do you find the average value of a function?
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Explain The second fundemental theorum of calcus using v(t) and s(t) functions
![](https://s3.amazonaws.com/brainscape-prod/system/cm/327/917/659/q_image_thumb.png?1606004222)
*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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What is the 1st fundemental theorum of calculus
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Explaine why the lower bound of an intergral be any constant and not change the dirivative of that intergral.
in the photo. x should be a different variable.
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Explain the fundemental theromum of calc. how do functions in the intergral affect the derivative. Wat about functions in the op and bottom?
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Explain the mean value theorm. Give a real work explain
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what are the antiderivatives for the exponetial functions
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What are some antiderivatives involving the log functions. name 3
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