(1) Consider the function I(r) = / e where T > 0. (a) Graph the function f(@:) = e # and indicate in your picture what the value I(r) represents. What do you think the value I (co) represents? We will try to compute it! (b) Let's see if we can integrate it explicitly using one of the integration techniques we learned. First, try u-sub with 1 = -". Explain why that's not useful. (C) Now let's try integration by parts with u = e . Explain why that's not useful. (d) Since our integration techniques were not very helpful, let's try to approximate the integral using rectangles. Based on the graph of f(e) - e # , which kind of sample point should we use in our Riemann sum for a more accurate approximation: left endpoints, right endpoints or midpoints? Explain, Estimate /(1) using 4 rectangles with same base length and the type of sample point that will yield the best approximation