$I={\displaystyle \underset{0}{\overset{\frac{}{2}}{}}}cos(x)$

to find the area under the function by solving the integral,

a$)$ Use the Missing method and

b$)$ Use the Average method.

Programs that will obtain the optimum solution of this problem using Monte$-$Carlo simulation techniques

i$.$ Write the steps of the algorithm,

ii$.$ Write the variable definitions used in the algorithm,

iii. Draw the flowchart.

iv$.$ Code the program and repeat it for $n=10,100,1000$ and $10000,$ and interpret the change in the estimated value.

Note: Do not forget to add your C$/$C$++$ codes and output reports to your homework report.