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!
What are The anti derivatives of four basix function.
x^n?
1/x?
e^x?
a^x?
dy/dx a^x= ln(a)(a)
What are the trig antiderivatives
What are the formulas for sums of powers of intergers?
x
x^2
x^3
What is a remanns sum and how do you write them in sigma notation?
how do you find the average value of a function?
Explain The second fundemental theorum of calcus using v(t) and s(t) functions
*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)
What is the 1st fundemental theorum of calculus
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.
Explain the fundemental theromum of calc. how do functions in the intergral affect the derivative. Wat about functions in the op and bottom?
Explain the mean value theorm. Give a real work explain
what are the antiderivatives for the exponetial functions
What are some antiderivatives involving the log functions. name 3
steps for finding area between 2 curves
