Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

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

$$\mathrm{If}\mathbf{f}\left(\mathbf{x}\right)=\int (4\mathbf{x}-{\mathbf{x}}^2)\mathbf{dx}$$$$\mathrm{f}\left(3\right)=22,\mathrm{find}f\left(\mathrm{x}\right)$$

Answered by Joel578 last updated on 10/Jan/18

$$f\left(x\right)=\int 4x-x^{2}dx=2x^2-\frac{1}{3}{x}^3+C$$$$f\left(3\right)=2\left(3^2\right)-\frac{1}{3}\left(3^3\right)+C=22$$$$\to C=22-18+9=13$$$$$$$$f\left(x\right)=2x^2-\frac{1}{3}{x}^3+13$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com