dx 1. Evaluate the following integrals a) [x]](x)dx b) [x?),(x)dx hint: [x"), (x)=x")_(-2) 2. Show that I _, (x) = (-1)"
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dx 1. Evaluate the following integrals a) [x]](x)dx b) [x?),(x)dx hint: [x"), (x)=x")_(-2) 2. Show that I _, (x) = (-1)" I , (x) 3. A function f(x) is expressed as a series of Bessel functions f(x)= adm(amx) - n n=1 with A mn the nth root of J, m, prove the following relation 00 ||(x)? xdx = Ža,” J?m+l(am) +1 _ 0 n=1 2m+ni
dx 1. Evaluate the following integrals a) [x]](x)dx b) [x?),(x)dx hint: [x"), (x)=x")_(-2) 2. Show that I _, (x) = (-1)" I , (x) 3. A function f(x) is expressed as a series of Bessel functions f(x)= adm(amx) - n n=1 with A mn the nth root of J, m, prove the following relation 00 ||(x)? xdx = Ža,” J?m+l(am) +1 _ 0 n=1 2m+ni