5.3 Fundamental Theorem of Calculus Part 1 Fri Nov 20 Do Now Use geometry to compute the area represented by the integral.

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5.3 Fundamental Theorem of Calculus Part 1 Fri Nov 20 Do Now Use geometry to compute the area represented by the integral

HW Review

The Fundamental Theorem of Calculus Part 1 Assume that f(x) is continuous on [a,b], then f(b) – f(a) is considered to be the total change (net change) or accumulation of the function during the interval [a,b]

Notes about FTC1 Notation: We don’t have to worry about + C with definite integrals, because the C’s cancel There’s a calculator function allowed on the AP exam which we will use until we learn faster ways to evaluate integrals

Ex Calculate the area under the graph of f(x) = x^3 over [2,4] fnInt(x^3,x,2,4)

Ex Find the area under over the interval [1,3]

Ex Find the area under f(x) = sinx on the intervals [0, pi] and [0, 2pi]

Closure Find the area under the function f(x) = 1/x on the intervals [2,8] and [-10,-4] HW: p. 314 #