MathDB
Today's calculation of Integral 861

Source: 2013 Showa university entrance exam/Medicine

January 25, 2013
calculusintegrationgeometryfunctionanalytic geometrycalculus computations

Problem Statement

Answer the questions as below.
(1) Find the local minimum of y=x(1āˆ’x2)ex2.y=x(1-x^2)e^{x^2}.
(2) Find the total area of the part bounded the graph of the function in (1) and the xx-axis.
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