Exercise
$\left(\frac{5}{4}r+\frac{13}{4}\right)\left(\frac{5}{4}r-\frac{13}{4}\right)$
Limit of this function
$\lim_{y\to0}\left(\left(\frac{5}{4}r+\frac{13}{4}\right)\left(\frac{5}{4}r-\frac{13}{4}\right)\right)=\frac{25}{16}r^2-\frac{169}{16}$
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Derivative of this function
$\frac{d}{dr}\left(\left(\frac{5}{4}r+\frac{13}{4}\right)\left(\frac{5}{4}r-\frac{13}{4}\right)\right)=\frac{25}{8}r$
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Integral of this function
$\int\left(\frac{5}{4}r+\frac{13}{4}\right)\left(\frac{5}{4}r-\frac{13}{4}\right)dr=\left(\frac{5}{4}r+\frac{13}{4}\right)\left(\frac{5}{4}r-\frac{13}{4}\right)r+C_0$
See step-by-step solution