Evaluate \(\int_{1}^{2} (2 + 2x - 3x^{2}) \mathrm {d} x\).
FURTHER MATHEMATICS
WAEC 2008
Evaluate \(\int_{1}^{2} (2 + 2x - 3x^{2}) \mathrm {d} x\).
- A. -2
- B. 2
- C. 8
- D. 10
Correct Answer: A. -2
Explanation
\(\int_{1}^{2} (2 + 2x - 3x^{2}) \mathrm {d} x\)
= \((2x + x^{2} - x^{3})|_{1}^{2}\)
= \((2(2) + 2^{2} - 2^{3}) - (2(1) + 1^{2} - 1^{3})\)
= \(0 - 2 = -2\)
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