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人気のある微分積分 >

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

解

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

解

\frac{76}{3}

+1

十進法表記

25.33333 \dots

解答ステップ

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

\int_{4}^{16} x d x = \frac{112}{3}

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

= \frac{112}{3} - 12

簡素化

\frac{112}{3} - 12 : \frac{76}{3}

= \frac{76}{3}

グラフ

人気の例

integral from 0.4 to 0.6 of 5/3

\int_{0.4}^{0.6} \frac{5}{3} d x

integral from 2 to e of (x^2+3)/(x^3+2x)

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

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

\int_{0}^{1} ln (1 + x^{2}) x d x

integral from 0 to 1 of sqrt(1-t)

\int_{0}^{1} 1 - t d t

integral from 0 to 3 of sqrt((9-x^2))

\int_{0}^{3} (9 - x^{2}) d x