# Improper integral with variable

With the help of F:[0-> infinity) F(t)= S( (e^(-tx)) sin(2x)/x )dx
find the S sin(2x)/x dx . The integral goes from 0 to infinity.

## Answers and Replies

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CompuChip
Homework Helper
Note that they are basically asking you to calculate F(0).

Dick
Homework Helper
And can you think of a way to write a simple expression for F'(t)? Use that to find F(t).

Sorry, indeed I figured out how should I find the other integral, but actually I'm having problems integrateing F'(t).

Dick