Esercizio
$\int_0^2\frac{4x^2}{\sqrt{7+x^2}^{\frac{3}{2}}}dx$
Soluzione passo-passo
Risposta finale al problema
$-2\cdot \left(\frac{\frac{28\sqrt{7}}{\sqrt[4]{\left(7\right)^{3}}}}{3}\right)F\left(0\Big\vert 2\right)+2\left(\frac{\frac{28\sqrt{7}}{\sqrt[4]{\left(7\right)^{3}}}}{3}\right)F\left(\frac{\arctan\left(\frac{2}{\sqrt{7}}\right)}{2}\Big\vert 2\right)+\frac{112\sqrt[4]{11}\sqrt{7}}{3\sqrt{\left(7\right)^{3}}}+\frac{56\sqrt{7}F\left(0\Big\vert 2\right)}{\sqrt[4]{\left(7\right)^{3}}}+\frac{-56\sqrt{7}F\left(\frac{\arctan\left(\frac{2}{\sqrt{7}}\right)}{2}\Big\vert 2\right)}{\sqrt[4]{\left(7\right)^{3}}}$
Risposta numerica esatta
$9.712855$