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 ln(x-sqrt(1+x^2))

解

\int ln (x - 1 + x^{2}) d x

解

x ln (x - 1 + x^{2}) + x^{2} + 1 + C

解答ステップ

\int ln (x - 1 + x^{2}) d x

部分積分を適用する

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

\int - \frac{x}{x ^{2} + 1} d x = - x^{2} + 1

= x ln (x - 1 + x^{2}) - (- x^{2} + 1)

簡素化

= x ln (x - 1 + x^{2}) + x^{2} + 1

定数を解答に追加する

= x ln (x - 1 + x^{2}) + x^{2} + 1 + C

グラフ

人気の例

(\partial)/(\partial x)(xarctan(y))

\frac{\partial}{\partial x} (x arctan (y))

sum from n=3 to infinity of (9/11)^{-n}

n = 3 \sum \infty (\frac{9}{11})^{- n}

integral of cos^5(4-x)sin(4-x)

\int cos^{5} (4 - x) sin (4 - x) d x

integral of (x^2-3x+sqrt(x))/(x^2)

\int \frac{x ^{2} - 3 x + x}{x ^{2}} d x

derivative of-6/((x-1^4))

\frac{d}{d x} (- \frac{6}{( x - 1 ) ^{4}})