Answer
a) 4
b) 10
c) -3
d) 2
Work Step by Step
a) $2(1)+\frac{1}{2}(2\times2)=4$
b) $2(1)+\frac{1}{2}(2\times2)+1(3)+\frac{1}{2}(2)(3)=10$
c) $-\frac{1}{2}(2)(3)=-3$
d) $\int_{0}^{9}f(x)dx=\int_{0}^{5}f(x)dx+\int_{5}^{7}f(x)dx+\int_{7}^{9}f(x)dx$
We already have $\int_{0}^{5}f(x)dx$ and $\int_{5}^{7}f(x)dx$ from parts b and c.
$10-3-2(2)-\frac{1}{2}(2)(1)=2$
