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 0 to 2 of (2x+3)^3

解

\int_{0}^{2} (2 x + 3)^{3} d x

解

290

解答ステップ

\int_{0}^{2} (2 x + 3)^{3} d x

u置換積分法を適用する

= \int_{3}^{7} \frac{u ^{3}}{2} d u

定数を除く:

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

= \frac{1}{2} \cdot \int_{3}^{7} u^{3} d u

べき乗則を適用する

= \frac{1}{2} [\frac{u ^{4}}{4}]_{3}^{7}

限度を計算する:

580

= \frac{1}{2} \cdot 580

簡素化

= 290

グラフ

人気の例

integral from 0 to 1 of 12x^2y^3

\int_{0}^{1} 12 x^{2} y^{3} d y

integral from 0 to 4 of 2x^3+1

\int_{0}^{4} 2 x^{3} + 1 d x

integral from 0 to 6 of 1/(1+x^2)

\int_{0}^{6} \frac{1}{1 + x ^{2}} d x

integral from 0 to pi/6 of (sec(x)+tan(x))^2

\int_{0}^{\frac{π}{6}} (sec (x) + tan (x))^{2} d x

integral from 1 to 2 of (ln(x))/(x^{10)}

\int_{1}^{2} \frac{ln ( x )}{x ^{10}} d x