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 4 of (x-3/(sqrt(x)))

解

\int_{1}^{4} (x - \frac{3}{x}) d x

解

\frac{3}{2}

+1

十進法表記

1.5

解答ステップ

\int_{1}^{4} x - \frac{3}{x} 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_{1}^{4} x d x - \int_{1}^{4} \frac{3}{x} d x

\int_{1}^{4} x d x = \frac{15}{2}

\int_{1}^{4} \frac{3}{x} d x = 6

= \frac{15}{2} - 6

簡素化

\frac{15}{2} - 6 : \frac{3}{2}

= \frac{3}{2}

グラフ

人気の例

integral from 0 to 1 of (2-2x^2)

\int_{0}^{1} (2 - 2 x^{2}) d x

integral from-2 to 1 of-y^2-y+2

\int_{- 2}^{1} - y^{2} - y + 2 d y

integral from 0 to 2 of (2x^3-2x^2-4x-1)

\int_{0}^{2} (2 x^{3} - 2 x^{2} - 4 x - 1) d x

integral from-4 to-1 of-2/x

\int_{- 4}^{- 1} - \frac{2}{x} d x

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

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