Suppose ∫56f(x)dx=6and∫56g(x)dx=2. Evaluate ∫56(4f(x)−2g(x))dx. Remember to include a "+C" if appropriate.

Step 1 Need to use the basic properties of definite integrals to find the sum of these integrals. ∫56(4f(x)−2g(x))dx=∫564f(x)dx−∫562g(x)dx 4∫56f(x)dx−2∫56g(x)dx =4(6)-2(2) =24-4 =20

Expert Answer to "Suppose ∫56f(x)dx=6and∫56g(x)dx=2. Evaluate ∫56(4f(x)−2g(x))dx. Remember to include a..."

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defazajx

Answered question

2021-01-02

Suppose $\int_{5}^{6} f (x) d x = 6 and \int_{5}^{6} g (x) d x = 2$ .
Evaluate $\int_{5}^{6} (4 f (x) - 2 g (x)) d x$ .
Remember to include a "+C" if appropriate.

Answer & Explanation

hosentak

Skilled2021-01-03Added 100 answers

Step 1
Need to use the basic properties of definite integrals to find the sum of these integrals.
$\int_{5}^{6} (4 f (x) - 2 g (x)) d x = \int_{5}^{6} 4 f (x) d x - \int_{5}^{6} 2 g (x) d x$
$4 \int_{5}^{6} f (x) d x - 2 \int_{5}^{6} g (x) d x$
=4(6)-2(2)
=24-4
=20

Jeffrey Jordon

Expert2021-11-05Added 2605 answers

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