To solve $ \int_{a}^{b}J_{0}(x)dx$ where $J_{0}(x)$ is Bessel function of first kind and order zero:

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I am attempting to solve this integral analytically, $$ \int_{a}^{b}J_{0}(x)dx $$ Here $J_{0}(x)$ is the Bessel function of first kind and order zero. How does one decide upon the infinite value of summation of this function to solve this integral?