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人気のある微分積分 >

integral from 100 to 120 of (600)/x

解

\int_{100}^{120} \frac{600}{x} d x

解

600 ln (\frac{6}{5})

+1

十進法表記

109.39293 \dots

解答ステップ

\int_{100}^{120} \frac{600}{x} d x

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 600 \cdot \int_{100}^{120} \frac{1}{x} d x

共通積分を使用する:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 600 [ln ∣ x ∣]_{100}^{120}

限度を計算する:

ln (120) - 2 ln (10)

= 600 (ln (120) - 2 ln (10))

簡素化

= 600 ln (\frac{6}{5})

グラフ

人気の例

tangent f(x)=4x^2-x^3,\at x=1

t an g e n t f (x) = 4 x^{2} - x^{3}, at x = 1

\frac{d y}{d x} + 2 y = 3

limit as x approaches 0 of 1/2 x^2

x \to 0 lim (\frac{1}{2} x^{2})

limit as x approaches 1 of 3x+5

x \to 1 lim (3 x + 5)

(\partial)/(\partial y)(x/(x^7-y^3))

\frac{\partial}{\partial y} (\frac{x}{x ^{7} - y ^{3}})