Question

A function is given by h(k)=∫∞0xke−xdx. Its values may be found in tables. Make the change...

A function is given by

h(k)=∫∞0xke−xdx.

Its values may be found in tables. Make the change of variables y=xln(5) to express I=∫∞0x25−xdx as a constant C times h(2). Find C.

Math   Calculus   
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Homework Answers

Answer #1

Given that

By the change of variables and limits of integration, we get that

Substituting the above values, we get that

Hence, the constant C is

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