University:
Fresno Pacific University
Course:
MATH 210 | Calculus I
Academic year:

2024
Views:

402

Pages:

3
Author:

Tyshawn Shaffer

Honors Brief Calc. Name Period 15.4 Notes Definite Integral Definite Integral - Let f denote a function that is continuous on a closed interval [a,b]. The definite integral from a to b of f equals the change from a to b in an antiderivative of f. If F is an antiderivativee of f, the definite integral of f from a to b is = Ft-*)|A^ £ fWdx = F( b) - F( a) In / f ( x ) d x , the numbers a and b are called the lower limit of integration and the upper limit of integration respectively. * Notice that the constant ( C) cancels out - Don 7 need to write C when finding the definite integral * Definite Integrals Using Substitution ... Indefinite Integral -gives all the antiderivatives of a function Definite Integral -gives you a number " Properties of Definite Integrals EX 10: Suppose J Use ## to answer 3 Finding the Exact Area Under a Curve * h M % Find the area between the following curves, the x-axis, between the two given x-values: