# Solve, please: \int_{7}^{9} (9 +3x)dx = ?

$$\displaystyle{\int_{{{7}}}^{{{9}}}}{\left({9}+{3}{x}\right)}{\left.{d}{x}\right.}=?$$

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Florence Evans
$$\displaystyle{9}{\left({9}\right)}+{1.5}{\left({9}^{{{2}}}\right)}−{9}{\left({7}\right)}−{1.5}{\left({7}^{{{2}}}\right)}={66}$$
Here you go.
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Ida Perry
The area is not under the x-axis as this function is positive between 7 and 9.