# Use the multiprocessing package to parallelize the computation in the problem below.

Use the multiprocessing package to parallelize the computation in the problem below. Upload your parallel function and any other function you might have implemented.

```
import multiprocessing as mp
import numpy as np
import time
def f(x):
return np.sqrt(x)+np.sin(x)
```**def midpoint_integrate():
a = 0.
b = 4.
n = 1000000
h = (b-a)/n
x = a+h/2.
s = 0
for i in range(n):
s += f(x)
x += h
return h*s
def midpoint_integrate_parallel():
pass**
Nprocesses = 10
if __name__ == '__main__':
# Serial
start = time.time()
print("result (serial): ", midpoint_integrate())
stop = time.time()
print("runtime (serial): ", (stop-start))
# Parallel
pool = mp.Pool(Nprocesses)
start = time.time()
print("result (parallel): ", midpoint_integrate_parallel())
stop = time.time()
print("runtime (parallel): ", (stop-start))
pool.close()

## Answers 0