ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

integral from 1 to 2 of (2-x)^{-2/3}

解

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

解

3

解答ステップ

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

u置換積分法を適用する

= \int_{1}^{0} - \frac{1}{u ^{\frac{2}{3}}} d u

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{0}^{1} - \frac{1}{u ^{\frac{2}{3}}} d u

定数を除く:

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

= - (- \int_{0}^{1} \frac{1}{u ^{\frac{2}{3}}} d u)

べき乗則を適用する

= - (- [3 u^{\frac{1}{3}}]_{0}^{1})

簡素化

= [3 u^{\frac{1}{3}}]_{0}^{1}

限度を計算する:

3

= 3

グラフ

人気の例

derivative y=(x^6)/(4-x^5)

d er i v a t i v e y = \frac{x ^{6}}{4 - x ^{5}}

derivative of ln(2+x)

\frac{d}{d x} (ln (2 + x))

integral from 0 to 5 of 1/(x^{12/11)}

\int_{0}^{5} \frac{1}{x ^{\frac{12}{11}}} d x

limit as x approaches 0 of 1+1/(e^x)

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

integral of (cos(sqrt(3x)))/(sqrt(x))

\int \frac{cos ( 3 x )}{x} d x