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 x^2ln(4x)

解

\int x^{2} ln (4 x) d x

解

\frac{1}{3} x^{3} ln (4 x) - \frac{x ^{3}}{9} + C

解答ステップ

\int x^{2} ln (4 x) d x

部分積分を適用する

= \frac{1}{3} x^{3} ln (4 x) - \int \frac{x ^{2}}{3} d x

\int \frac{x ^{2}}{3} d x = \frac{x ^{3}}{9}

= \frac{1}{3} x^{3} ln (4 x) - \frac{x ^{3}}{9}

定数を解答に追加する

= \frac{1}{3} x^{3} ln (4 x) - \frac{x ^{3}}{9} + C

グラフ

人気の例

limit as x approaches-pi/4 of sec(x)

x \to - \frac{π}{4} lim (sec (x))

limit as x approaches 1 of+(1/(x^2-1))

x \to 1 lim (+ (\frac{1}{x ^{2} - 1}))

integral of sin^2(2x)cos^2(x)

\int sin^{2} (2 x) cos^{2} (x) d x

limit as x approaches 0 of (1-10x)^{1/x}

x \to 0 lim ((1 - 10 x)^{\frac{1}{x}})

limit as x approaches infinity+of x^{(3)}e^{(-x^{(2)})}

x \to \infty + lim (x^{(3)} e^{(- x^{(2)})})