We can calculate n fold integrals and derivative exponentially faster using fractional calculus. Integral of some functions are NP problem meaning it will take long time (Non polynomial time). By calculating n fold integrals faster we can achieve real time simulations.we can also solve hyper dimensional problems and to achieve hyper dimensional computing.we can reduce space and time complexity of an algorithm using this method.we also compare results with normal n fold integrals.we got 100 % accurate result.