Question

Evaluate the integral below by interpreting it in terms of areas in the figure.

Answer 1

Recall that the integral gives us the area under the curve, in case the area is below the x-axis the area is added as a negative number.

Therefore,

$\int_5^{10}f(x)dx=A_3-A_4.$

Substituting the given values for the areas, you get:

$V=1-1=0.$

Answer:

$V=0.$