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人気のある微分積分 >

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

解

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

解

\frac{4}{3}

+1

十進法表記

1.33333 \dots

解答ステップ

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

\int_{- 1}^{1} x^{2} d x = \frac{2}{3}

\int_{- 1}^{1} 1 d x = 2

= - \frac{2}{3} + 2

簡素化

- \frac{2}{3} + 2 : \frac{4}{3}

= \frac{4}{3}

グラフ

人気の例

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

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

integral from 1 to 5 of-x^2+6x-5

\int_{1}^{5} - x^{2} + 6 x - 5 d x

integral from 0 to ln(5) of 2e^{3x}

\int_{0}^{l n (5)} 2 e^{3 x} d x

integral from-1 to 1 of y^3-y

\int_{- 1}^{1} y^{3} - y d y

integral from-1 to 2 of x^2-x+2

\int_{- 1}^{2} x^{2} - x + 2 d x