Conventionally, numerical integration to accomplish. Field Programmable Gate Arrays (FPGAs) can be used as a efficient and reliable alternative to implement the proposed a hardware implementation of four numerical integration algorithms using FPGA. The computation is based on Left Riemann Sum (LRS), Right Riemann Sum (RRS), MiddleRiemann Sum (MRS) and Trapezoidal Sum (TS) algorithms. The system performance is evaluated based on target chip Altera Cyclone IV FPGA in the metrics of resources utilization, clock latency, execution time, power consumption and computational error compared to the other algorithms. The result also shows execution time of the FPGA are much faster compared to the software implementation.