zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的微积分 >

面积 x=((y-3)^2)/3 ,y=9-x

解答

面积

x = \frac{( y - 3 ) ^{2}}{3}, y = 9 - x

解答

\frac{81}{2}

+1

十进制

40.5

求解步骤

对于

x = \frac{( y - 3 ) ^{2}}{3}

将

y

移到一边:

y = 3 x + 3, y = - 3 x + 3

f_{1} (x) = 3 x + 3

f_{2} (x) = - 3 x + 3

要找到相交点，解

f_{i} (x) = f_{j} (x)

3 x + 3 = - 3 x + 3 : x = 0

3 x + 3 = 9 - x : x = 3

- 3 x + 3 = 9 - x : x = 12

= \int_{0}^{3} ∣ f_{1} (x) - f_{2} (x) ∣ d x + \int_{3}^{12} ∣ f_{2} (x) - f_{3} (x) ∣ d x

= \int_{0}^{3} 3 x + 3 - (- 3 x + 3) d x + \int_{3}^{12} - 3 x + 3 - (9 - x) d x

\int_{0}^{3} 3 x + 3 - (- 3 x + 3) d x = 12

\int_{3}^{12} - 3 x + 3 - (9 - x) d x = \frac{57}{2}

= 12 + \frac{57}{2}

化简

= \frac{81}{2}

作图

流行的例子

7sqrt(xy)(dy)/(dx)=2

7 x y \frac{d y}{d x} = 2

12=((33000)dy)/(dt)+1/(22*10^{-6)}y

12 = \frac{( 33000 ) d y}{d t} + \frac{1}{22 \cdot 1 0 ^{- 6}} y

limit as h approaches 0 of 3/(sqrt(3h+1)+1)

h \to 0 lim (\frac{3}{3 h + 1 + 1})

derivative of e^{xi}

\frac{d}{d x} (e^{x i})

integral of 3cos^2(x)sin(x)

\int 3 cos^{2} (x) sin (x) d x