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can-someone-please-show-how-to-get-0-pi-sin-a-sin-x-dx-piH-0-a-where-H-0-a-is-the-Struve-H-Function-




Question Number 108076 by Sarah85 last updated on 14/Aug/20
can someone please show how to get  ∫_0 ^π sin (a sin (x)) dx=πH_0  (a)  where H_0  (a) is the Struve−H−Function
$$\mathrm{can}\:\mathrm{someone}\:\mathrm{please}\:\mathrm{show}\:\mathrm{how}\:\mathrm{to}\:\mathrm{get} \\ $$$$\underset{\mathrm{0}} {\overset{\pi} {\int}}\mathrm{sin}\:\left({a}\:\mathrm{sin}\:\left({x}\right)\right)\:{dx}=\pi\mathrm{H}_{\mathrm{0}} \:\left({a}\right) \\ $$$$\mathrm{where}\:\mathrm{H}_{\mathrm{0}} \:\left({a}\right)\:\mathrm{is}\:\mathrm{the}\:\mathrm{Struve}−\mathrm{H}−\mathrm{Function} \\ $$

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