SUBJECT: INTEGRAL CALCULUS. Exlanations will really helpl me, thank you! 1. Compare and contrast the rectangle method and the antiderivative method. 2. Let A denote the area between the graph of f(x) =√x and the interval [0,1], and let B denote the area between the graph of f(x)=x2 and the interval [0,1]. Explain geometrically why A + B = 1. 3. What is a constant of integration? Why does an answer to an integration problem involve a constant of integration?

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