integral from 2 to 4 of ((3x+14))/(46)

解

\int_{2}^{4} \frac{( 3 x + 14 )}{46} d x

1

解答ステップ

\int_{2}^{4} \frac{3 x + 14}{46} d x

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{46} \cdot \int_{2}^{4} 3 x + 14 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

= \frac{1}{46} (\int_{2}^{4} 3 x d x + \int_{2}^{4} 14 d x)

\int_{2}^{4} 3 x d x = 18

\int_{2}^{4} 14 d x = 28

= \frac{1}{46} (18 + 28)

簡素化

\frac{1}{46} (18 + 28) : 1

= 1