Evaluate \(∫^0_{-1}\) (x + 1)(x - 2) dx
FURTHER MATHEMATICS
WAEC 2022
Evaluate \(∫^0_{-1}\) (x + 1)(x - 2) dx
- A. 7/6
- B. 5/6
- C. -5/6
- D. -7/6
Correct Answer: D. -7/6
Explanation
\(∫^0_{-1}\) (x + 1)(x - 2) dx
= \(∫^0_{-1}\) \(x^2 - x - 2\) dx
Integrated \(x^2 - x - 2\) = \(\frac{x^3}{3} - \frac{x^2}{2} -2\)
| = | (0 | - | 0 | - | 0) | - | ( | -1 3 | - | 1 2 | + | 2) |
| = | 0 | - | ( | 7 6 | ) | = | -7 6 |
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