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 x of xf(t)

解

\int_{0}^{x} x f (t) d t

解

\frac{x ^{3} f}{2}

解答ステップ

\int_{0}^{x} x f t d t

定数を除く:

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

= x f \cdot \int_{0}^{x} t d t

べき乗則を適用する

= x f [\frac{t ^{2}}{2}]_{0}^{x}

限度を計算する:

\frac{x ^{2}}{2}

= x f \frac{x ^{2}}{2}

簡素化

= \frac{x ^{3} f}{2}

人気の例

integral from 1 to 8 of (1+x^3)

\int_{1}^{8} (1 + x^{3}) d x

integral from 0 to pi/2 of sin(x)+cos(x)

\int_{0}^{\frac{π}{2}} sin (x) + cos (x) d x

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

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

integral from-pi to pi of sin(x)sin(2x)

\int_{- π}^{π} sin (x) sin (2 x) d x

integral from 5 to 5 of 4x

\int_{5}^{5} 4 x d x