Evaluate ∫\(^2_1\) \(\frac{5}{x}\) dx
A
1.47
B
2.67
C
3.23
D
3.47
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
∫\(\frac{5}{x}\) dx = 5 ∫\(\frac{1}{x}\) = 5Inx
Since the integral of \(\frac{1}{x}\) is Inx
∫\(^2\) \(_1\)∫ \(\frac{5}{x}\) dx = 5
dx = 5 (In<2 – InIn1)
= 3.4657
= 3.47
Source: Myschool Past Questions Archive (Record #47581)