Calculus Integral

Question

If ∫ f(x) dx = 33 and ∫ g(x) dx = 14, find ∫ [3f(x) + 4g(x)] dx.

All of these with an upper bound of 9 and a lower bound of 0.

Answer 1

the integral of a sum is the sum of the integrals

integral of 3f(x)dx + 4g(x)dx = 3(33) + 4(14) = 99+56 = 155

Not sure why you refer to an upper and lower bound. It seems extraneous to the problem. It would help in figuring out what f(x) and g(x) are, but that seems unnecessary to calculating the given integral of a sum