# Evaluating the definite integral int_(-4)^4(10x^9+7x^5)dx

Evaluating the definite integral ${\int }_{-4}^{4}\left(10{x}^{9}+7{x}^{5}\right)dx$
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Amir Hanna
Just to add to the possible solutions:
$\begin{array}{rl}{\int }_{-4}^{4}10{x}^{9}+7{x}^{5}& ={\left[{x}^{10}+\frac{7{x}^{6}}{6}\right]}_{-4}^{4}\\ & =\left[{4}^{10}+\frac{7×{4}^{6}}{6}\right]-\left[\left(-4{\right)}^{10}+\frac{7\left(-4{\right)}^{6}}{6}\right]\end{array}$
$\begin{array}{rl}& =\left[{4}^{10}+\frac{7×{4}^{6}}{6}\right]-\left[\left(4{\right)}^{10}+\frac{7\left(4{\right)}^{6}}{6}\right]\\ & =0\end{array}$