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 5 of (ln(x))^2

解

\int_{0}^{5} (ln (x))^{2} d x

解

5 ln^{2} (5) - 2 (5 ln (5) - 5)

+1

十進法表記

6.85707 \dots

解答ステップ

\int_{0}^{5} (ln (x))^{2} d x

部分積分を適用する

= [x ln^{2} (x) - \int 2 ln (x) d x]_{0}^{5}

\int 2 ln (x) d x = 2 (x ln (x) - x)

= [x ln^{2} (x) - 2 (x ln (x) - x)]_{0}^{5}

限度を計算する:

5 ln^{2} (5) - 2 (5 ln (5) - 5)

= 5 ln^{2} (5) - 2 (5 ln (5) - 5)

グラフ

人気の例

integral from 0 to 0 of cos(x)

\int_{0}^{0} cos (x) d x

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

\int_{0}^{3} \frac{x ^{2}}{x ^{3} + 3} d x

integral from 0 to 2pi of 16

\int_{0}^{2 π} 16 d x

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

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

integral from x to 1 of 3x

\int_{x}^{1} 3 x d x