Integration Problem -- given a function... find a value 1. The problem statement, all variables and given/known data If f(3) = 7 and f'(x) = sin (1 + x^2) / (x^3 - 2x), then f(5) = ... 2. Relevant equations We can use a calculator (TI-84+) to solve this problem. I'm having a brain fart ... we're given initial conditions, and we're given f'(x) a function that cannot be integrated with conventional methods. 3. The attempt at a solution I'm thinking this has something to do with the manipulation of the integrand (and its respective limits). Usually, when I do these problems I integrate... find "C" and once "C" is a value, I plug in the value we're trying to find. But this function isn't easily integrable. What rules am I missing? I need hints not answers please, thank you!