∫ln(2) to 0 e^x sin(1/2e^(2x) π)dx calculates out to: FresnelS(2) - FresnelS( 1)

remebering that that

FresnelS(x)=∫0 to x sin((π t^2)/2)dt use a transformation to explain this calcluation.

explain in detail how you go through it. please

Question

∫ln(2) to 0  e^x sin(1/2e^(2x) π)dx calculates out to: FresnelS(2) - FresnelS( 1)

remebering that that

FresnelS(x)=∫0 to x sin((π t^2)/2)dt use a transformation to explain this calcluation.

explain in detail how you go through it. please

experimentx · Answer

could you use latex? or draw app http://www.codecogs.com/latex/eqneditor.php

experimentx · Answer

do you mean 
$$ \int_{\ln 2}^{0} e^{x} \sin \left( \frac{1}{2}e^{2x} \pi \right) dx$$

anonymous · Answer

My literacy sheet show it the other way, 0 on bottom