I want to solve following integral$$\int J_0(x)J_1(x) dx$$I tried so many different ways but I couldn't find a way to attack this problem! please help me
2026-03-30 03:55:35.1774842935
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How to find anti-derivative of $J_0(x)J_1(x)$
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you can find the integral representation of Bessel function here https://en.wikipedia.org/wiki/Bessel_function#Bessel.27s_integrals
That would be helpful.
Hint: use the substitution $u=J_0(x)$.