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人気のある微分積分 >

integral from 1 to infinity of 1/(x^{1.01)}

解

\int_{1}^{\infty} \frac{1}{x ^{1.01}} d x

解

100

解答ステップ

\int_{1}^{\infty} \frac{1}{x ^{1.01}} d x

不定積分を計算する:

\int \frac{1}{x ^{1.01}} d x = - \frac{100}{x ^{0.01}} + C

限度を計算する:

\int_{1}^{\infty} \frac{1}{x ^{1.01}} d x = 0 - (- 100)

= 0 - (- 100)

簡素化

= 100

人気の例

derivative of 1/(x+10)

\frac{d}{d x} (\frac{1}{x + 10})

derivative of 12ln(x)

\frac{d}{d x} (12 ln (x))

(\partial)/(\partial y)(x/(x-y))

\frac{\partial}{\partial y} (\frac{x}{x - y})

y^{^{'}} = y sin (x)

integral from-2 to 2 of (3x^3-10)

\int_{- 2}^{2} (3 x^{3} - 10) d x