Question $7$: Find the eact value of ${\displaystyle \underset{\frac{}{4}}{\overset{\frac{}{2}}{}}}2sinxsin(cosx)dx.$ Show your work. $(10$ pts$)$

Question $8$: Let $f(x)$ be a continuous function that is defined for all real numbers $x$ and has the properties: ${\displaystyle \underset{2}{\overset{5}{}}}f(x)=-\frac{3}{4},{\displaystyle \underset{2}{\overset{8}{}}}f(x)dx=3.$ Find the value of ${\displaystyle \underset{0}{\overset{3}{}}}(2f(x2)-x^2)dx.$ Show your work. $(10$ pts$)$