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 pi/(18) of cos(3x)

解

\int_{0}^{\frac{π}{18}} cos (3 x) d x

解

\frac{1}{6}

+1

十進法表記

0.16666 \dots

解答ステップ

\int_{0}^{\frac{π}{18}} cos (3 x) d x

u置換積分法を適用する

= \int_{0}^{\frac{π}{6}} cos (u) \frac{1}{3} d u

定数を除く:

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

= \frac{1}{3} \cdot \int_{0}^{\frac{π}{6}} cos (u) d u

共通積分を使用する:

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

= \frac{1}{3} [sin (u)]_{0}^{\frac{π}{6}}

限度を計算する:

\frac{1}{2}

= \frac{1}{3} \cdot \frac{1}{2}

簡素化

= \frac{1}{6}

グラフ

人気の例

integral from 0 to pi of-x^2

\int_{0}^{π} - x^{2} d x

integral from 0 to 7 of x^2-7x

\int_{0}^{7} x^{2} - 7 x d x

integral from 0 to 3 of (2x^2+x+6)

\int_{0}^{3} (2 x^{2} + x + 6) d x

integral from 0 to pi of 3

\int_{0}^{π} 3

integral from 1 to e of 1/(x(2+ln(x)))

\int_{1}^{e} \frac{1}{x ( 2 + ln ( x ) )} d x