Definite Integration Question 78

Question: The value of $ \int _{0}^{8}{|x-5|dx} $ is

[UPSEAT 2003]

Options:

A) 17

B) 12

C) 9

D) 18

Show Answer

Answer:

Correct Answer: A

Solution:

$ I=\int_0^{8}{|x-5|dx=\int_0^{5}{-(x-5)dx+\int_5^{8}{(x-5)dx=17}}} $ .