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10 cards from this deck
Integrate the upper curve minus the lower curve.
A = ∫x1x2y dx\int_{x_1}^{x_2} y \, dx∫x1x2ydx.
A1=1/3A_1 = 1/3A1=1/3.
A2=1/4A_2 = 1/4A2=1/4, found by A2=∫01x3dxA_2 = \int_0^1 x^3 dxA2=∫01x3dx.
Integrate: A=∫(x2−x3)dxA = \int(x^2 - x^3) dxA=∫(x2−x3)dx from 000 to 111.
A=∫y1y2x dyA = \int_{y_1}^{y_2} x \, dyA=∫y1y2xdy.
Use ∫0ax2dx=13a3\int_0^a x^2 dx = \frac{1}{3}a^3∫0ax2dx=31a3.
Use the integration bounds y1y1y1 and y2y2y2 for evaluation.
Add areas of separate regions together.
Use separate integrals for each curve involved.
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