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 5 of 5x

解

\int_{1}^{5} 5 x d x

解

60

解答ステップ

\int_{1}^{5} 5 x d x

定数を除く:

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

= 5 \cdot \int_{1}^{5} x d x

べき乗則を適用する

= 5 [\frac{x ^{2}}{2}]_{1}^{5}

限度を計算する:

12

= 5 \cdot 12

簡素化

= 60

グラフ

人気の例

integral from 0 to 14 of sqrt(196-x^2)

\int_{0}^{14} 196 - x^{2} d x

integral from 0 to pi/4 of (1+e^{tan(x)})sec^2(x)

\int_{0}^{\frac{π}{4}} (1 + e^{t a n (x)}) sec^{2} (x) d x

integral from 1 to 6 of 2x-6

\int_{1}^{6} 2 x - 6 d x

integral from 0 to 1 of (1+x^2)/(1+y^2)

\int_{0}^{1} \frac{1 + x ^{2}}{1 + y ^{2}} d y

integral from 4 to 6 of (x^2+2x-4)

\int_{4}^{6} (x^{2} + 2 x - 4) d x