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人気のある微分積分 >

integral from 0 to x of 2-x

解

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

解

2 x - \frac{x ^{2}}{2}

解答ステップ

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

\int_{0}^{x} 2 d x = 2 x

\int_{0}^{x} x d x = \frac{x ^{2}}{2}

= 2 x - \frac{x ^{2}}{2}

人気の例

integral from 0 to 2pi of 1+cos(x)

\int_{0}^{2 π} 1 + cos (x) d x

integral from-3 to 1 of xsqrt(1-x)

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

integral from 0 to 2 of (x^4+6)

\int_{0}^{2} (x^{4} + 6) d x

integral from ln(4) to 0 of e^{-2x}

\int_{l n (4)}^{0} e^{- 2 x} d x

integral from 4 to x of (64)/(t^5)

\int_{4}^{x} \frac{64}{t ^{5}} d t