Given that , evaluate the following integral.
A)5
B)-5
C)20
D)-20

Question

Given that  , evaluate the following integral. 
A)5 
B)-5 
C)20 
D)-20

Quizplus · Accepted Answer

The two given numbers are in hexadecimal format, which means they represent numbers in base 16. If we convert them to decimal format, the integral becomes:
$\int_{5}^{20}\frac{1}{x}\mathrm{d}x$
This is a simple logarithmic integral that evaluates to:
$\ln|x|\bigg|_5^{20}=\ln(20)-\ln(5)=\ln\left(\frac{20}{5}\right)=\ln(4)$
Approximately, this is equal to 1.386. Since the integral is from 5 to 20, which is a positive range, the final answer is negative, hence the correct choice is B.

Given That , Evaluate the Following Integral