Exercise 2.10

Consider the function:

$\displaystyle f(x) = x \sin^2(x).$ (A.4)

a)
Draw the graph of the function $ f(x)$ on the interval [0,2$ \pi$ ].
b)
Determine the position and the value of the maxima of the function $ f(x)$ numerically.
c)
Numerically, determine the following integral:

$\displaystyle \int_0^{2\pi} f(x) dx$ (A.5)



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Esteur 2010-03-22