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 1 of 12x^2y^3

解

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

解

3 x^{2}

解答ステップ

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

定数を除く:

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

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

べき乗則を適用する

= 12 x^{2} [\frac{y ^{4}}{4}]_{0}^{1}

限度を計算する:

\frac{1}{4}

= 12 x^{2} \frac{1}{4}

簡素化

= 3 x^{2}

人気の例

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

integral from 2 to 3 of 1/(y-3)

\int_{2}^{3} \frac{1}{y - 3} d y