Question 42
IntegrationEvaluate ∫−11 (2x + 1)2 dx
- A.3⅔
- B.4
- C.4⅓
- D.4⅔
Show the answer and explanation
Answer: D (4⅔)
Explanation
Expand: 4x² + 4x + 1, which integrates to 4x³/3 + 2x² + x. At 1 this is 13/3; at −1 it is −1/3. The difference is 14/3 = 4⅔.