Definite integrals

Find an antiderivative, then subtract its values at the limits.

AP and College Calculus: Integrals

\int_{a}^{b} f (x) d x = F (b) - F (a)

Work through it

$F (x) = x^{3}$

$8 - 0 = 8$

$F (x) = - cos x$

$1 - (- 1) = 2$

Calculating $F (a) - F (b)$ .

Use the upper limit first.

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