Lab Instructions

Open a Workbook in MAPLE and name it using the "Save As$"$ file option.

Part$1$: Use MAPLE to find the indefinite integral of

$f(x)=xsin(x)$

Part $1($continued$)$: The indefinite integral of $f(x)$ given by MAPLE has a constant of

integration $C=0.$ Use MAPLE to find the value that $C$ must have if the antiderivative of

$f(x),F(x),$ has the value

$F(\frac{}{4})=1.$

Part $2$: A graph of

$f(x)=xsin(x)$

is shown on the next page. Using MAPLE, calculate the area enclosed by the curve of $f(x)$

and the $x$ axis between $x=-\frac{}{2}$ and $x=.$