Question 23
IntegrationGiven that f′(x) = x3√x, find f(x).
- A.2x9/2/9 + c
- B.7x5/2/2 + c
- C.2x5/2/7 + c
- D.9x9/2/2 + c
Show the answer and explanation
Answer: A (2x9/2/9 + c)
Explanation
x³√x = x^(7/2), so f(x) = x^(9/2)/(9/2) + c = 2x^(9/2)/9 + c.
Given that f′(x) = x3√x, find f(x).
Answer: A (2x9/2/9 + c)
x³√x = x^(7/2), so f(x) = x^(9/2)/(9/2) + c = 2x^(9/2)/9 + c.