Question

Given F'(x) = f(x), and the integral from 10 to 20 of f(x)dx = 30 with F(10) = 22, find F(20).

Answer 1

well using some knowledge of integrals

\[\int\limits_{10}^{20} f(x) dx = F(20) - F(10)\]

so

30 = F(20) - F(10)

just substitute and solve for F(20)

Answer 2

Ohh yeah! I get it now... first Fundamental Theorem of Calculus. It was just asked in a different format and tripped me up. Thank you!