Evaluate \(\int_{0}^{2} (8x - 4x^{2}) \mathrm {d} x\).
FURTHER MATHEMATICS
WAEC 2013
Evaluate \(\int_{0}^{2} (8x - 4x^{2}) \mathrm {d} x\).
- A. \(-16\)
- B. \(\frac{-16}{3}\)
- C. \(\frac{16}{3}\)
- D. \(16\)
Correct Answer: C. \(\frac{16}{3}\)
Explanation
\(\int_{0}^{2} (8x - 4x^{2}) \mathrm {d} x = (\frac{8x^{1 + 1}}{2} - \frac{4x^{2+1}}{3})|_{0}^{2}\)
= \((4x^{2} - \frac{4x^{3}}{3}) |_{0}^{2}\)
= \((4(2^2) - \frac{4(2^3)}{3})\)
= \(16 - \frac{32}{3} = \frac{16}{3}\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *