Question

Calculate the distance traveled over 5 seconds by finding the area under the curve?

`"distance" = int_0^5f(x)dx = ?`

Answer 1

`"Area" = 1/2 (2 + 1) * (1-0) + 1/2(1+4)* (2-1) + 1/2 (4 + 5) * (3 -2 ) + bb(( 5 (5 - 3) - 1/2 pi(1)^2 ))`

`= 1/2 (37- pi) approx 16.93`

Units: metres