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All the integrals below are understood in the sense of the Lebesgue.
(1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]. Then
(2) Assume that f is integrable over [0; 1]. Show that
is di erentiable a.e on (0; 1).
(3) Assume that f is continuous on [0; 1]. Suppose that
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OQRS IS A QUADRILATERAL SUCH THAT OQ= -6,3 OR= -3,7 AND OS= 1,5. T IS ON OQ SUCH THAT OT: TQ= 1:2 PROVE THAT QRST IS AA PARALLEGRRAM
Wendy has 5 pairs of pants and 8 shirts. How many different combinations could she form with these items? Multiply the number of choices for each item to find out the number of
Initial Conditions and Boundary Conditions In many problems on integration, an initial condition (y = y 0 when x = 0) or a boundary condition (y = y
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