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 2 to 5 of (cos(x/(10)))

解

\int_{2}^{5} (cos (\frac{x}{10})) d x

解

10 (sin (\frac{1}{2}) - sin (\frac{1}{5}))

+1

十進法表記

2.80756 \dots

解答ステップ

\int_{2}^{5} cos (\frac{x}{10}) d x

u置換積分法を適用する

= \int_{\frac{1}{5}}^{\frac{1}{2}} cos (u) \cdot 10 d u

定数を除く:

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

= 10 \cdot \int_{\frac{1}{5}}^{\frac{1}{2}} cos (u) d u

共通積分を使用する:

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

= 10 [sin (u)]_{\frac{1}{5}}^{\frac{1}{2}}

限度を計算する:

sin (\frac{1}{2}) - sin (\frac{1}{5})

= 10 (sin (\frac{1}{2}) - sin (\frac{1}{5}))

グラフ

人気の例

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

\int_{1}^{- 1} \frac{1}{x ^{2}} d x

integral from 0 to 3 of (3t-1)^{58}

\int_{0}^{3} (3 t - 1)^{58} d t

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

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

integral from 1 to 4 of 21x^{5/2}

\int_{1}^{4} 21 x^{\frac{5}{2}} d x

integral from 1 to 2.5 of 3/(2x^2)

\int_{1}^{2.5} \frac{3}{2 x ^{2}} d x