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人気のある微分積分 >

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

解

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

解

\frac{633}{4}

+1

十進法表記

158.25

解答ステップ

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

\int_{2}^{5} x^{3} d x = \frac{609}{4}

\int_{2}^{5} 2 d x = 6

= \frac{609}{4} + 6

簡素化

\frac{609}{4} + 6 : \frac{633}{4}

= \frac{633}{4}

グラフ

人気の例

integral from 0 to 0.5 of 1/(1+x^4)

\int_{0}^{0.5} \frac{1}{1 + x ^{4}} d x

integral from 0 to 3 of e^{-y^2}

\int_{0}^{3} e^{- y^{2}} d y

integral from 0 to 3 of x(x-3)(x-1)

\int_{0}^{3} x (x - 3) (x - 1) d x

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

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

integral from 1 to 2 of sqrt(1+(9x)/4)

\int_{1}^{2} 1 + \frac{9 x}{4} d x