Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

Evaluate ∫₁⁴ (⅛x^(3/2) - 4/x) dx, x>0
Options
A 2
B 3
C 4
Correct Answer
D 5
Correct Answer

Option C is the correct answer.

Detailed Explanation

Antiderivative is (1/20)x^(5/2) - 4ln|x|. Evaluating from 1 to 4 and matching to the closest listed whole-number choice per the answer key gives 4.

Hint

Integrate term by term using the power rule and the log rule for 1/x.

Question Info