Thread: Fourier cosine transform

Find Fourier cosine transform of exp(-a²x²) and hense evaluate Fourier sine transform of x.exp(-a²x²)

plz help me..


i can solve this ques. only if there is x instead of x² in the exponential function exp(-a²x²). bcoz in this situation i can use integral formula :- ⌠exp(-ax)cos(sx)dx = exp(-ax)/a²+x²[bsin(sx)-acos(sx)] but what should i do if there is x² in exponential function exp.??

Please look here

http://www.wolframalpha.com/input/?i=integrate+e^%28-a^2+x^2%29+sin%28wx%29+dx

Originally Posted by zzzoak

Please look here

http://www.wolframalpha.com/input/?i=integrate+e^%28-a^2+x^2%29+sin%28wx%29+dx

thanks a lot zzzoak