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 cot(m)xcsc^2(m)x

解

\int cot (m) x csc^{2} (m) x d x

解

\frac{csc ^{2} ( m )}{3} x^{3} cot (m) + C

解答ステップ

\int cot (m) x csc^{2} (m) x d x

定数を除く:

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

= cot (m) csc^{2} (m) \cdot \int xx d x

簡素化

xx : x^{2}

= cot (m) csc^{2} (m) \cdot \int x^{2} d x

べき乗則を適用する

= cot (m) csc^{2} (m) \frac{x ^{3}}{3}

簡素化

cot (m) csc^{2} (m) \frac{x ^{3}}{3} : \frac{csc ^{2} ( m )}{3} x^{3} cot (m)

= \frac{csc ^{2} ( m )}{3} x^{3} cot (m)

定数を解答に追加する

= \frac{csc ^{2} ( m )}{3} x^{3} cot (m) + C

グラフ

人気の例

tangent f(x)=2x^3,\at x=-1

t an g e n t f (x) = 2 x^{3}, at x = - 1

tangent ax^3,\at x=-5

t an g e n t a x^{3}, at x = - 5

derivative y=3arctan(x-sqrt(1+x^2))

d er i v a t i v e y = 3 arctan (x - 1 + x^{2})

integral of (2x^3+10x^2-3x+4)

\int (2 x^{3} + 10 x^{2} - 3 x + 4) d x

y^{^{''}} - 6 y^{^{'}} = 4 t