Question 42
IntegrationEvaluate ∫(2x + 3)½ dx.
- A.(1/12)(2x + 3)¾ + k
- B.(1/12)(2x + 3)6 + k
- C.⅓(2x + 3)½ + k
- D.⅓(2x + 3)3/2 + k
Show the answer and explanation
Answer: D (⅓(2x + 3)3/2 + k)
Explanation
Raise the power by one to 3/2, divide by 3/2 and by 2 (the coefficient of x): (2x + 3)3/2 ÷ 3 = ⅓(2x + 3)3/2 + k.