11. (a) Write the first 5 terms of a power series approximation for f(x) = e-x* centered atX = 0.(b) Use the above power series

11. (a) Write the first 5 terms of a power series approximation for f(x) = e-x*² centered atX = 0.(b) Use the above power series approximation to find an approximation to S?¹?e-x² dx,rounding to 3 decimal places. Show work needed to produce this approximation.(c) Include a graph, shade the region corresponding to the integration and confirm youranswer above using the computer or calculator to evaluate the integral.