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Given , compute .

Quote: Originally Posted by chiph588@ Given , compute . i think we also need for the convergence. anyway, i think the answer is: Spoiler: . why? first do the substitution and put then your integral becomes differentiating with respect to (check the conditions that are needed) will give us: now let and and apply by parts to get: solving this differential equation with the fact that will give us the result.

Is... Kind regards

Quote: Originally Posted by NonCommAlg Spoiler: . why? first do the substitution and put then your integral becomes differentiating with respect to (check the conditions that are needed) will give us: now let and and apply by parts to get: solving this differential equation with the fact that will give us the result. Dear me, that was very clever!