Definitions by CMCTT
Left Twix
Better than right twix.
first fundamental theorem of calculus
The first fundamental theorem of calculus states that (just trying to remember here), with F(x) being the antiderivative of f(x), while u stand for the upper bound and l stands for the lower bound, the definite integral of a function f(x) is equal to F(u) - F(l).
"Solve the integral from 2 to 3 of x^2" Well, this should be easy. Just use the first fundamental theorem of calculus.
The antiderivative of x^2 = (x^3)/3. (3^3)/3 = 9, and (2^3)/3 = 8/3. 9 - 8/3 = 19/3, which is equal to 6.3333333... Time to search this up on good ol' Wolfram Alpha. *Checks* Alright!
The antiderivative of x^2 = (x^3)/3. (3^3)/3 = 9, and (2^3)/3 = 8/3. 9 - 8/3 = 19/3, which is equal to 6.3333333... Time to search this up on good ol' Wolfram Alpha. *Checks* Alright!
first fundamental theorem of calculus by CMCTT June 26, 2017