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人気のある微分積分 >

integral from 4 to 16 of 2sqrt(x)-1

解

\int_{4}^{16} 2 x - 1 d x

解

\frac{188}{3}

+1

十進法表記

62.66666 \dots

解答ステップ

\int_{4}^{16} 2 x - 1 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_{4}^{16} 2 x d x - \int_{4}^{16} 1 d x

\int_{4}^{16} 2 x d x = \frac{224}{3}

\int_{4}^{16} 1 d x = 12

= \frac{224}{3} - 12

簡素化

\frac{224}{3} - 12 : \frac{188}{3}

= \frac{188}{3}

グラフ

人気の例

integral from 0 to x of x^3y^2

\int_{0}^{x} x^{3} y^{2} d y

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\int_{- 2}^{0} 2 x + 4 d x

integral from 1/4 to 1/2 of 2/5 (x+2)

\int_{\frac{1}{4}}^{\frac{1}{2}} \frac{2}{5} (x + 2) d x

integral from 2 to 4 of 3xln(x)

\int_{2}^{4} 3 x ln (x) d x

integral from y to 8-y^2 of 1

\int_{y}^{8 - y^{2}} 1 d x