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 2x+1/(x^2)

解

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

解

\frac{63}{4}

+1

十進法表記

15.75

解答ステップ

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

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

\int_{1}^{4} \frac{1}{x ^{2}} d x = \frac{3}{4}

= 15 + \frac{3}{4}

簡素化

15 + \frac{3}{4} : \frac{63}{4}

= \frac{63}{4}

グラフ

人気の例

integral from 0 to t of sin(x)cos(t-x)

\int_{0}^{t} sin (x) cos (t - x) d x

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

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

integral from 1 to 3 of x/((x^2+4)^3)

\int_{1}^{3} \frac{x}{( x ^{2} + 4 ) ^{3}} d x

integral from-pi to 0 of sin(3x)cos(2x)

\int_{- π}^{0} sin (3 x) cos (2 x) d x

integral from-5 to 5 of (x^2-2)

\int_{- 5}^{5} (x^{2} - 2) d x