Homework SourseFind the antiderivative Fx and fx that satisfies the given c
Find the antiderivative F(x) and f(x) that satisfies the given condition. using the constant C for the antiderivative find out what C is. Please show your work. thank you.
f(x)= 1/x^2 + x F(2) = 1 (x > 0)
f(x)= 1/x^2 + x F(2) = 1 (x > 0)
Solution
F(x) = int of f(x) => F(x) = -1/x + x^2/2 + C given F(2) =1 =>C=1+1/2 - 2 = -1/2 =>F(x) = -1/x + x^2/2 -1/2
