First, let's rewrite the given integral in a more clear format:
a) $\int_{6}^{6+adr} (2xr + 5) dx$
Now, we can find the antiderivative of the integrand:
$\int (2xr + 5) dx = xr^2 + 5x + C$
Now, we can apply the Fundamental Theorem of Calculus by evaluating the
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