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人気のある微分積分 >

integral from 0 to 4 of (x^2+9x)

解

\int_{0}^{4} (x^{2} + 9 x) d x

解

\frac{280}{3}

+1

十進法表記

93.33333 \dots

解答ステップ

\int_{0}^{4} x^{2} + 9 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_{0}^{4} x^{2} d x + \int_{0}^{4} 9 x d x

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 9 x d x = 72

= \frac{64}{3} + 72

簡素化

\frac{64}{3} + 72 : \frac{280}{3}

= \frac{280}{3}

グラフ

人気の例

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

\int_{0}^{3} x \frac{x ^{2}}{9} d x

integral from 2 to 3 of 1/(x^4)

\int_{2}^{3} \frac{1}{x ^{4}} d x

integral from 2 to 4 of x^2e^{x^3+5}

\int_{2}^{4} x^{2} e^{x^{3} + 5} d x

integral from-1 to 5 of (4x^3-3x^2+1)x

\int_{- 1}^{5} (4 x^{3} - 3 x^{2} + 1) x d x

integral from 2 to y of x^2sin(x)

\int_{2}^{y} x^{2} sin (x) d x