Find \(\displaystyle \int^{1}_{-1} \sin\left(\dfrac{e^x - e^{-x}}{2}\right)\; dx\)
Substituting u = -x yields something similar. What should I do?
Notice that the integrand is an odd function i.e. if f(x) = sin(sinh(x)) then f(-x) = -f(x). This means the integral of f(x) from -1 to +1 is zero.
+9673 
