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 of sin(r^2)r

解

\int sin (r^{2}) r d r

解

- \frac{1}{2} cos (r^{2}) + C

解答ステップ

\int sin (r^{2}) r d r

u置換積分法を適用する

= \int \frac{sin ( u )}{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 sin (u) d u

共通積分を使用する:

\int sin (u) d u = - cos (u)

= \frac{1}{2} (- cos (u))

代用を戻す

u = r^{2}

= \frac{1}{2} (- cos (r^{2}))

簡素化

= - \frac{1}{2} cos (r^{2})

定数を解答に追加する

= - \frac{1}{2} cos (r^{2}) + C

グラフ

人気の例

limit as x approaches infinity of 0.5x^2

x \to \infty lim (0.5 x^{2})

derivative of 4x^{2pi}

\frac{d}{d x} (4 x^{2 π})

limit as x approaches 0 of (arcsin(3x))/(arctan(5x))

x \to 0 lim (\frac{arcsin ( 3 x )}{arctan ( 5 x )})

derivative of sqrt(xe^x)

\frac{d}{d x} (x e^{x})

integral of (-7x^2)/(sqrt(4x-x^2))

\int \frac{- 7 x ^{2}}{4 x - x ^{2}} d x