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10 questions from this quiz
The net signed area under a curve
The sign of f(x)f(x)f(x) in your interval
A=∫abf(x) dxA = \int_a^b f(x) \, dxA=∫abf(x)dx
A=−∫abf(x) dxA = -\int_a^b f(x) \, dxA=−∫abf(x)dx
The integral gives negative but area is +
Split the integral at the crossing point
No, area must always be positive
A=∫baf(x) dxA = \int_b^a f(x) \, dxA=∫baf(x)dx
∫cbf(x)dx+(−∫acf(x)dx)\int_c^b f(x)dx + (-\int_a^c f(x)dx)∫cbf(x)dx+(−∫acf(x)dx)
Use geometric formulas like trapezium
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