Exercício
$\int_0^3\left(3t^2\sqrt{9-t^2}\right)dt$
Solução explicada passo a passo
Resposta final para o problema
$3\cdot \left(\frac{27}{2}\arcsin\left(\frac{3}{3}\right)+3\left(\frac{3}{2}\right)\sqrt{9- 3^2}+\frac{3-\frac{1}{3}\sqrt{\left(9- 3^2\right)^{3}}}{4}-\frac{81}{8}\arcsin\left(\frac{3}{3}\right)+3\left(-\frac{9}{8}\right)\sqrt{9- 3^2}- \left(\frac{27}{2}\arcsin\left(\frac{0}{3}\right)+0\left(\frac{3}{2}\right)\sqrt{9- 0^2}+\frac{0-\frac{1}{3}\sqrt{\left(9- 0^2\right)^{3}}}{4}-\frac{81}{8}\arcsin\left(\frac{0}{3}\right)+0\left(-\frac{9}{8}\right)\sqrt{9- 0^2}\right)\right)$