Finding definite integrals using area formulas
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SOLVED: Evaluating a Definite Integral Using a Geometric Formula In Exercises 23-32 , sketch the region whose area is given by the definite integral. Then use a geometric formula to evaluate the integral (a>0, r>0). ∫-a^a(a-|x|) d x | Numerade
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The graph of f consists of line segments and a semicircle, as shown in the figure. Evaluate each definite integral by using geometric formulas. (Graph cant copy) (a) ∫0^2 f(x) d x (b) ∫2^6 f(x) d x (c) ∫-4^2 f(x) d x (d) ∫-4^6 f(x) d x (e) ∫-4^6|f(x)| d x (f) ∫-4^6[f(x) 2] d x | Numerade
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