Part II

$**$All work must be shown to receive credit. Partial credit will be awarded where appropriate.

Q$9$ Use the following graph to evaluate the following integrals.

$($a$){\displaystyle \underset{a}{\overset{c}{}}}f(x)dx=$

$($b$){\displaystyle \underset{a}{\overset{d}{}}}|f(x)|dx=$

$($c$){\displaystyle \underset{b}{\overset{b}{}}}f(x)dx=$

Q$10$ Find the function that satisfies the following properties:

$($i$)$ the derivative at any point is given by $f^{\text{'}}(x)=3x^2-2$

$($ii$)$ the function passes through $(1,4)$

Q$11$ Compute the following integrals:

$($a$){\displaystyle \underset{0}{\overset{\frac{}{2}}{}}}(cosx-sinx)dx$

$($b$){\displaystyle \underset{-1}{\overset{2}{}}}5x(2-x^3)dx$