If-f-x-4x-x-2-dx-f-3-22-find-f-x-

Question Number 27581 by Mcfaithal last updated on 10/Jan/18

If f (x) = \int (4 x - x^{2}) dx

f (3) = 22, find f (x)

Answered by Joel578 last updated on 10/Jan/18

f (x) = \int 4 x - x^{2} d x = 2 x^{2} - \frac{1}{3} x^{3} + C

f (3) = 2 (3^{2}) - \frac{1}{3} (3^{3}) + C = 22

\to C = 22 - 18 + 9 = 13

f (x) = 2 x^{2} - \frac{1}{3} x^{3} + 13

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