Question

Evaluate:

`int_4^5 |x - 5| dx`

Answer 1

`int_4^5 |x - 5|dx`

= `int_4^5 - (x - 5) dx`

= `int_4^5 (5 - x) dx`

= `[5x - x^2/2]_4^5`

= `[5 xx 5 - (5 xx 5)/2] - [5 xx 4 - (4 xx 4)/2]`

= `[25 - 25/2] - [20 - 16/2]`

= `(50 - 25)/2 - 12`

= `25/2 - 12`

= `(25 - 24)/2`

= `1/2`