Question 22
IntegrationEvaluate ∫−10 (x + 1)(x − 2) dx
- A.7/6
- B.5/6
- C.−5/6
- D.−7/6
Show the answer and explanation
Answer: D (−7/6)
Explanation
∫(x² − x − 2) dx = x³/3 − x²/2 − 2x. From −1 to 0: 0 − (−1/3 − 1/2 + 2) = −7/6.
Evaluate ∫−10 (x + 1)(x − 2) dx
Answer: D (−7/6)
∫(x² − x − 2) dx = x³/3 − x²/2 − 2x. From −1 to 0: 0 − (−1/3 − 1/2 + 2) = −7/6.