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Calculus Level 3

$\large\int\limits_{1}^{15} e^x\sinh(x) \,\mathrm dx$

If the above integral has a closed form: $$\dfrac{a-e^b+e^c}{d}$$ for some integers $$a,b,c,d$$ where $$a<0$$ , then find the value of $$a+b+c+d$$ .

Clarification: $$e$$ denotes the Euler's number, $$e \approx 2.71828$$.

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