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面积 y^2-27x=0,x+y=0

解答

面积

y^{2} - 27 x = 0, x + y = 0

解答

\frac{243}{2}

+1

十进制

121.5

求解步骤

对于

y^{2} - 27 x = 0

将

y

移到一边:

y = 33 x, y = - 33 x

对于

x + y = 0

将

y

移到一边:

y = - x

f_{1} (x) = 33 x

f_{2} (x) = - 33 x

要找到相交点，解

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

33 x = - 33 x : x = 0

33 x = - x : x = 0

- 33 x = - x : x = 27, x = 0

= \int_{0}^{27} ∣ f_{2} (x) - f_{3} (x) ∣ d x

= \int_{0}^{27} - 33 x - (- x) d x

\int_{0}^{27} - 33 x - (- x) d x = \frac{243}{2}

= \frac{243}{2}

作图

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