Question

If f(1)=12, f'(x) is continuous and the integral from 1 to 4 of f'(x)dx=17, what is the value of f(4)?

Answer 1

If \[f(1)=12\] f' is continuous and
\[\int\limits_{1}^{4}f'(x)dx=17\]
what is the value of f(4)?

Answer 2

well,,since f' is continuous, you wouldnt have to break the limits of the integral anywhere..
and integral(f'x)dx from 1 to 4 is obviously
f(4) - f(1)
and its given f(1)= 12
f(4)-f(1)=17
just solve for f(4)