Question

∫⁵₁ x²dx/5 + ∫⁶₅ x²dx/5

Answer 1

Ответ:

$14\frac{1}{3}$

Пошаговое объяснение:

$\int\limits^5_1 {\frac{x^2dx}{5} } \,+\int\limits^6_5 {\frac{x^2dx}{5} } \,=\int\limits^6_1 {\frac{x^2dx}{5} } \,=\frac{1}{5}\int\limits^6_1 {\frac{x^2dx}{5} } \, =\frac{1}{5}*(\frac{x^3}{3}|_1^6)=\frac{1}{5}*(\frac{6^3}{3}-\frac{1^3}{3})=\\\\=\frac{1}{5}(\frac{216}{3}-\frac{1}{3})=\frac{1}{5}*\frac{215}{3}=\frac{43}{3}=14\frac{1}{3}$