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 96x^2y^3

解

\int_{0}^{1} 96 x^{2} y^{3} d y

解

24 x^{2}

解答ステップ

\int_{0}^{1} 96 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

= 96 x^{2} \cdot \int_{0}^{1} y^{3} d y

べき乗則を適用する

= 96 x^{2} [\frac{y ^{4}}{4}]_{0}^{1}

限度を計算する:

\frac{1}{4}

= 96 x^{2} \frac{1}{4}

簡素化

= 24 x^{2}

人気の例

integral from 1 to 2 of x^4ln(x^2)

\int_{1}^{2} x^{4} ln (x^{2}) d x

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

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

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

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

integral from-1 to 1 of \sqrt[3]{x+1}

\int_{- 1}^{1} 3 x + 1 d x

integral from 1 to sqrt(3 of) 6/(9+9x^2)

\int_{1}^{3} \frac{6}{9 + 9 x ^{2}} d x