1. The problem statement, all variables and given/known data
I'm doing a physics problem, but I'm stuck on the math part. My integral is
$$ \frac {2 \sqrt {15}}{a^{3}} \int_{0}^{a} \hspace{0.01 in} sin(\frac {n \pi}{a} x)x(a-x) dx $$
Where ##a## is a constant, and ##n = 1,2,3,...##...
Integral with sine(x) and x multiplied
Integral with sine(x) and x multiplied
I'm doing a physics problem, but I'm stuck on the math part. My integral is
$$ \frac {2 \sqrt {15}}{a^{3}} \int_{0}^{a} \hspace{0.01 in} sin(\frac {n \pi}{a} x)x(a-x) dx $$
Where ##a## is a constant, and ##n = 1,2,3,...##...
Integral with sine(x) and x multiplied
Integral with sine(x) and x multiplied
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