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 7 of-tsin(t)

解

\int_{1}^{7} - t sin (t) d t

解

7 cos (7) - sin (7) - cos (1) + sin (1)

+1

十進法表記

4.92149 \dots

解答ステップ

\int_{1}^{7} - t sin (t) d t

定数を除く:

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

= - \int_{1}^{7} t sin (t) d t

部分積分を適用する

= - [- t cos (t) - \int - cos (t) d t]_{1}^{7}

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

= - [- t cos (t) - (- sin (t))]_{1}^{7}

簡素化

= - [- t cos (t) + sin (t)]_{1}^{7}

限度を計算する:

- 7 cos (7) + sin (7) + cos (1) - sin (1)

= - (- 7 cos (7) + sin (7) + cos (1) - sin (1))

簡素化

= 7 cos (7) - sin (7) - cos (1) + sin (1)

グラフ

人気の例

integral from 0 to 2pi of sin(x^2)

\int_{0}^{2 π} sin (x^{2}) d x

integral from-x to x of sqrt(3+4t^2)

\int_{- x}^{x} 3 + 4 t^{2} d t

integral from 0 to 1 of sinh(x)

\int_{0}^{1} sinh (x) d x

integral from 1/x to 4 of sqrt(1+1/t)

\int_{\frac{1}{x}}^{4} 1 + \frac{1}{t} d t

integral from 2 to 4 of e^{-st}t^2

\int_{2}^{4} e^{- s t} t^{2} d t