Evaluate Definite Integral Using Integral Properties: If ∫17f(x)dx=2.5 and ∫17g(x)dx=4, find ∫17[4f(x)−2g(x)]dx.

nitraiddQ

nitraiddQ

Answered question

2021-08-20

Evaluate Definite Integral Using Integral Properties:
If ∫17f(x)dx=2.5 and ∫17g(x)dx=4, find ∫17[4f(x)−2g(x)]dx.

Answer & Explanation

hosentak

hosentak

Skilled2021-08-21Added 100 answers

Step 1
∫17[4f(x)−2g(x)]dx=∫174f(x)dx−∫172g(x)dx
=4∫17f(x)dx−2∫17g(x)dx
=4(2.5)−2(4)
=10−8
=2

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