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 4x^3

解

\int_{1}^{4} 4 x^{3} d x

解

255

解答ステップ

\int_{1}^{4} 4 x^{3} d x

定数を除く:

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

= 4 \cdot \int_{1}^{4} x^{3} d x

べき乗則を適用する

= 4 [\frac{x ^{4}}{4}]_{1}^{4}

限度を計算する:

\frac{255}{4}

= 4 \cdot \frac{255}{4}

簡素化

= 255

グラフ

人気の例

integral from-1 to 1 of (x^3+1)

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

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

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

integral from 0 to 4 of (4-4x)-(4-x^2)

\int_{0}^{4} (4 - 4 x) - (4 - x^{2}) d x

integral from 1 to 2 of x^2e^{x^3}

\int_{1}^{2} x^{2} e^{x^{3}} d x

integral from 0 to 1/4 of 1/(144x^2+9)

\int_{0}^{\frac{1}{4}} \frac{1}{144 x ^{2} + 9} d x