1: Let g1(x) be the probability density function (pdf) of a uniform distribution over the interval [1, 3]. Estimate the definite integral of f(x) over [1, 3] using Monte Carlo method with g1(x). Question 2: Let g2(x) be the pdf of a triangular distribution defined over the interval [1, 3] with its peak at a+b 2 , where a and b are the minimum and maximum values of the distribution, respectively. Estimate the definite integral of f(x) over [1, 3] using Monte Carlo method with g1(x)