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人気のある微分積分 >

integral from 3 to 5 of 3x^2+2x

解

\int_{3}^{5} 3 x^{2} + 2 x d x

解

114

解答ステップ

\int_{3}^{5} 3 x^{2} + 2 x 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_{3}^{5} 3 x^{2} d x + \int_{3}^{5} 2 x d x

\int_{3}^{5} 3 x^{2} d x = 98

\int_{3}^{5} 2 x d x = 16

= 98 + 16

簡素化

= 114

グラフ

人気の例

integral from sqrt(2) to 2 of 1/x

\int_{2}^{2} \frac{1}{x} d x

integral from 1 to 13 of 6x^2+3x-2

\int_{1}^{13} 6 x^{2} + 3 x - 2 d x

integral from 1 to 3 of (x^{-2}-3/x+2x)

\int_{1}^{3} (x^{- 2} - \frac{3}{x} + 2 x) d x

integral from 3 to 3 of (x-2)/(x+2)

\int_{3}^{3} \frac{x - 2}{x + 2} d x

integral from 0 to 1 of (x^2)/(x^3+7)

\int_{0}^{1} \frac{x ^{2}}{x ^{3} + 7} d x