Kier14,
If you were a physicist, you would be right on the money. However, as torque has been used in the engine business (I'll call that e-torque), it's a measure of how hard the engine tugs on the transmission. It happens to have units of force*distance, which is either torque or work.
If you could actually calculate the instantaneous net torque (let's call that p-torque for physics-torque) on the crankshaft, you could possibly determine the "mean of the calculated torque for the cycle" as you suggest. However, you have to remember that there are typically multiple cylinders acting on the crankshaft at any moment, some putting work onto the crankshaft, and some taking work off of the crankshaft. Therefore as a practical matter e-torque cannot be determined by your method - at least not without exotic modeling that no one would bother to perform. Realize that "peak torque" is a steady-state concept referring to the net action of all cylinders acting on the crankshaft at the maximum fueling per stroke, and not the maximum p-torque exerted by any cylinder on the crankshaft.
But back to the original point - e-torque is defined as the amount of work the engine puts onto the crankshaft over a given rotational angle of the crankshaft, and not the physics based concept of rotational force exerted on the crankshaft at any particular moment.
In my opinion, the term torque for engines as it is used is a bit misleading. However, it is what it is, and it's been that way for so long I doubt anyone is going to change it. It is useful to think of it as p-torque when designing transmissions, because the transmission sees the entire net effect of all cylinders acting - which is probably why we are where we are. However, it's not helpful to imagine the p-torque provided by a particular cylinder at a particular moment in time, because that's just not the same concept.