Riemann integrals: 1. Suppose that ∫5x=3 f(x) dx = 5 and ∫5x=3 g(x) dx = 7. (That is, the integral of f from 3 to 5 is 5
Posted: Tue May 10, 2022 3:54 pm
Riemann integrals:
1. Suppose that ∫5x=3 f(x) dx = 5 and ∫5x=3 g(x) dx = 7. (That is, the integral of f from 3 to 5 is 5, and the integral of g from 3 to 5 is 7.) What is ∫5x=3 (f(x) + g(x)) dx? (That is, what is the integral of f + g from 3 to 5?)
2. Suppose that ∫5x=3 f(x) dx = 5 and ∫8x=5 f(x) dx = 4. (That is, the integral of f from 3 to 5 is 5, and the integral of f from 5 to 8 is 4.) What is ∫8x=3 f(x) dx? (That is, what is the integral of f from 3 to 8?)
1. Suppose that ∫5x=3 f(x) dx = 5 and ∫5x=3 g(x) dx = 7. (That is, the integral of f from 3 to 5 is 5, and the integral of g from 3 to 5 is 7.) What is ∫5x=3 (f(x) + g(x)) dx? (That is, what is the integral of f + g from 3 to 5?)
2. Suppose that ∫5x=3 f(x) dx = 5 and ∫8x=5 f(x) dx = 4. (That is, the integral of f from 3 to 5 is 5, and the integral of f from 5 to 8 is 4.) What is ∫8x=3 f(x) dx? (That is, what is the integral of f from 3 to 8?)