There is a function f(x) whose first and second derivatives are f'(x) and f''(x), respectively. In terms of those three functions, find:
a) the integral from 2 to 3 of x*f''(x)
b)the integral from 2 to 3 of (x^2)*f'''(x)

Question

There is a function f(x) whose first and second derivatives are f'(x) and f''(x), respectively. In terms of those three functions, find:
a) the integral from 2 to 3 of x*f''(x)
b)the integral from 2 to 3 of (x^2)*f'''(x)

anonymous · Answer

Otherwise:
$$\int\limits_{2}^{3}xf''(x) dx$$
and
$$\int\limits_{2}^{3}x ^{2}f'''(x)dx$$

bahrom7893 · Answer

it's the fundamental theorem of calculus

anonymous · Answer

I'm aware of that, it's just that I also need help with calculating the actual integrals themselves. The integration by parts is what's really messing me up...

anonymous · Answer

meep...help anyone?