Question

Интеграл от нуля до пи х деленый на 6 дэх

Answer 1

$\int\limits^0_\pi { \frac{x}{6} } \, dx= \frac{x^2}{12} |^{\pi}_{0}= \frac{\pi^{2}}{12}- \frac{0^2}{12}= \frac{\pi^2}{12}$

$\int\limits^0_\pi { \frac{cosx}{6} } \, dx = \frac{sinx}{6} |^{\pi}_{0}= \frac{sin\pi -sin0}{6}= \frac{0-0}{6}=0$

Answer 2

С$\int_0^{\pi }\frac{x}{6}dx=\frac{1}{6}\cdot \frac{x^2}{2}\; |_0^{\pi }=\frac{1}{12}(\pi ^2-0)=\frac{\pi ^2}{12}$