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Prove that: int(-a)^(a) x^(3) sqrt(a^(2)...

Prove that: `int_(-a)^(a) x^(3) sqrt(a^(2) -x^(2) ) dx=0`

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To prove that \[ \int_{-a}^{a} x^{3} \sqrt{a^{2} - x^{2}} \, dx = 0, \] we will analyze the integrand and use the properties of even and odd functions. ...
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