Consider two functions f and g on [1, 8] such that integral^8_1 f(x) dx = 9, int

Question

Consider two functions f and g on [1, 8] such that integral^8_1 f(x) dx = 9, integral^8_1 g(x) dx = 5, integral^8_5 f(x) dx = 4, and integral^5_1 g (x) dx = 3. Evaluate the following integrals. a. integral^5_1 2f(x) dx = (Simplify your answer.) b. integral^8_1 (f(x) - g (x)) dx = (Simplify your answer.) c. integral^5_1 (f (x) - g (x)) dx = (Simplify your answer.) d. integral^8_5 (g(x) - f(x)) dx = (Simplify your answer.) e. integral^8_5 7g(x) dx = (Simplify your answer.) f. integral^1_5 3f(x) dx = (Simplify your answer.)

Explanation / Answer

with above 4 given inegrals

a) =2*(9-4)=10

b)=9-5=4

c)5-3=2

d)(5-3)-4=-2

e)=7*(5-3)=14

f)=3*(-5)=-15

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