(adsbygoogle = window.adsbygoogle || []).push({}); Integrate e^[a*sqrt(b^2+x^2)] * e^c*x

I can integrate the first part alone, i.e. ∫e^{a*√(b2+x2)}and the result is [√(b^{2}+x^{2})/a - 1/a^{2}] e^{a*√(b2+x2)}.

For the full integral, i.e. ∫e^{a*√(b2+x2)}* e^{c*x}I tried using integration by parts but it does not work since the exponent of the first e is not simply x.

the second exponent was originally a cos but that is still much harder.

Any ideas?

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# Integrate e^[a*sqrt(b^2+x^2)]

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