Evaluate the integrals

Question

let ∫₀^4.5f(x)dx=1, ∫₀^1.5f(x)dx=6, ∫₃^4.5ff(x)dx=10

find ∫_1.5³f(x)dx=

and ∫₃^1.5(1f(x)-6)dx=

Answer 1

(a) int from 0 to 4.5 - integral from 3 to 4.5 - integral from 0 to 1.5.

(b)The second integral is - (answer to a) - 6(1.5) + 6(3) (separated integral and evaluated int (-6) = -6x from 3 to 1.5.