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 a to infinity of 1/(x^3)

解

\int_{a}^{\infty} \frac{1}{x ^{3}} d x

解

\frac{1}{2 a ^{2}}

解答ステップ

\int_{a}^{\infty} \frac{1}{x ^{3}} d x

不定積分を計算する:

\int \frac{1}{x ^{3}} d x = - \frac{1}{2 x ^{2}} + C

限度を計算する:

\int_{a}^{\infty} \frac{1}{x ^{3}} d x = 0 - (- \frac{1}{2 a ^{2}})

= 0 - (- \frac{1}{2 a ^{2}})

簡素化

= \frac{1}{2 a ^{2}}

人気の例

integral from 0 to r of sqrt(r^2-r^2)r

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

integral from 1 to 3 of (8x^2-7x+5)/x

\int_{1}^{3} \frac{8 x ^{2} - 7 x + 5}{x} d x

integral from 0 to 2 of (2x)^2

\int_{0}^{2} (2 x)^{2} d x

integral from 6 to 4 of 1

\int_{6}^{4} 1

integral from-2 to 2 of 8-x^3

\int_{- 2}^{2} 8 - x^{3} d x