Integrals with initial condition
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An initial condition gives you a point on the integrated function that exists, therefore enabling you to solve for the constant of integration (+C).
Simply solve for the integrated function, then plug in the initial condition (x, y) in!
Scenario: Evaluate for the integral of f(x) below, given that F(1) = 10.
Answer: Given that F(1) = 10, we were able to solve for F(x) = x3 + 9