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Properties of Definite Integrals

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If ∫−32w(x) dx=−6\displaystyle\int_{-3}^{2} w(x)\,dx = -6 and ∫−32z(x) dx=14\displaystyle\int_{-3}^{2} z(x)\,dx = 14, which of the following statements is true?

A

∫−32w(x)⋅z(x) dx=−84\displaystyle\int_{-3}^{2} w(x) \cdot z(x)\,dx = -84

B

∫−32∣w(x)∣ dx=6\displaystyle\int_{-3}^{2} \left|w(x)\right|\,dx = 6

C

∫−32[z(x)]2 dx=196\displaystyle\int_{-3}^{2} \left[z(x)\right]^2\,dx = 196

D

∫2−3(w(x)−z(x)) dx=20\displaystyle\int_{2}^{-3} \left(w(x) - z(x)\right)\,dx = 20

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