integral from 0 to 11 of (sin(x))/(10)+4

解

\int_{0}^{11} \frac{sin ( x )}{10} + 4 d x

\frac{441}{10} - \frac{1}{10} cos (11)

十進法表記

44.09955 \dots

解答ステップ

\int_{0}^{11} \frac{sin ( x )}{10} + 4 d x

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{11} \frac{sin ( x )}{10} d x + \int_{0}^{11} 4 d x

\int_{0}^{11} \frac{sin ( x )}{10} d x = \frac{1}{10} (- cos (11) + 1)

\int_{0}^{11} 4 d x = 44

= \frac{1}{10} (- cos (11) + 1) + 44

簡素化

\frac{1}{10} (- cos (11) + 1) + 44 : \frac{441}{10} - \frac{1}{10} cos (11)

= \frac{441}{10} - \frac{1}{10} cos (11)