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受欢迎的微积分 >

面积 x=22y^2,x=5y^3

解答

面积

x = 22 y^{2}, x = 5 y^{3}

解答

\frac{58564}{375}

+1

十进制

156.17066 \dots

求解步骤

对于

x = 22 y^{2}

将

y

移到一边:

y = \frac{x}{22}, y = - \frac{x}{22}

对于

x = 5 y^{3}

将

y

移到一边:

f_{1} (x) = \frac{x}{22}

f_{2} (x) = - \frac{x}{22}

要找到相交点，解

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

\frac{x}{22} = - \frac{x}{22} : x = 0

= \int_{0}^{\frac{10648}{25}} ∣ f_{1} (x) - f_{3} (x) ∣ d x

= \frac{58564}{375}

作图

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