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人気のある微分積分 >

integral from 2 to 6 of (x^2-1)

解

\int_{2}^{6} (x^{2} - 1) d x

解

\frac{196}{3}

+1

十進法表記

65.33333 \dots

解答ステップ

\int_{2}^{6} x^{2} - 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_{2}^{6} x^{2} d x - \int_{2}^{6} 1 d x

\int_{2}^{6} x^{2} d x = \frac{208}{3}

\int_{2}^{6} 1 d x = 4

= \frac{208}{3} - 4

簡素化

\frac{208}{3} - 4 : \frac{196}{3}

= \frac{196}{3}

グラフ

人気の例

integral from 8 to x of 1/t

\int_{8}^{x} \frac{1}{t} d t

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

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

integral from 1 to e of (sin(ln(θ)))/θ

\int_{1}^{e} \frac{sin ( ln ( θ ) )}{θ} d θ

integral from 1 to 6 of xe^{2x}

\int_{1}^{6} x e^{2 x} d x

integral from 0 to 5 of x^2-4x

\int_{0}^{5} x^{2} - 4 x d x