Use R coding for parts (a) and (b). Please use integration calculation for (c). Please show all your R codes, outputs. Please also show all your workings and answers for the R codes and calculations.

1) Monte Carlo Integration a) Use Monte Carlo integration with a sample size of n = 100 points to estimate the integral I = e-sin(x) dx b) Calculate a 90% confidence interval for the true value of the integral Calculate the true value of the integral (hint: you could use integration by parts)