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^ncos(a)x

解

\int x^{n} cos (a) x d x

解

\frac{1}{n + 2} x^{n + 2} cos (a) + C

解答ステップ

\int x^{n} cos (a) x d x

定数を除く:

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

= cos (a) \cdot \int x^{n} x d x

簡素化

x^{n} x : x^{n + 1}

= cos (a) \cdot \int x^{n + 1} d x

べき乗則を適用する

= cos (a) \frac{x ^{n + 2}}{n + 2}

簡素化

cos (a) \frac{x ^{n + 2}}{n + 2} : \frac{1}{n + 2} x^{n + 2} cos (a)

= \frac{1}{n + 2} x^{n + 2} cos (a)

定数を解答に追加する

= \frac{1}{n + 2} x^{n + 2} cos (a) + C

グラフ

人気の例

integral of (sin(x))/(1+2cos^2(x))

\int \frac{sin ( x )}{1 + 2 cos ^{2} ( x )} d x

integral of tan(x)(tan(x)+1)

\int tan (x) (tan (x) + 1) d x

integral of (sec^2(6x))/(3tan(6x)+15)

\int \frac{sec ^{2} ( 6 x )}{3 tan ( 6 x ) + 15} d x

integral of (x^2+4x-5)/(x^3)

\int \frac{x ^{2} + 4 x - 5}{x ^{3}} d x

integral of 1/(x(2ln(x)+1))

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