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人気のある微分積分 >

integral from 0 to h of (kx+v)

解

\int_{0}^{h} (k x + v) d x

解

h v + \frac{h ^{2} k}{2}

解答ステップ

\int_{0}^{h} k x + v 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}^{h} v d x + \int_{0}^{h} k x d x

\int_{0}^{h} v d x = h v

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

= h v + \frac{h ^{2} k}{2}

人気の例

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