Isaac H.

asked • 12/13/22

Use these values to evaluate the given definite integrals.

Let


\int_{0}^2 f(x) \, dx = 9, \quad \int_{0}^3 f(x) \, dx = 5, \quad \int_{0}^2 g(x) \, dx = -13, \quad \int_{2}^3 g(x) \, dx = -15, \quad


Use these values to evaluate the given definite integrals.


a) \displaystyle \int_{0}^2 \left(f(x) + g(x)\right) \, dx =

b) \displaystyle \int_{0}^3 \left(f(x) - g(x)\right) \, dx =

c) \displaystyle \int_{2}^3 \left(3f(x) + 2g(x)\right) \, dx =


d) Find the value a such that \displaystyle \int_{0}^3 \left(a f(x) + g(x)\right) \, dx = 0.

a =

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