en? The integral lo dx is difficult (some say impossible) to evaluate exactly. But we can approximate it using power series. First, find the 4th degree Taylor polynomial for f(x) = e" (centered at c=0). Then, as T4(2) e", we can input 22 to get T4 (2²) zede? e ? 1 ~T4(x2) + 1 + x2 + 3x4 + 5 26 24 28 Ta? *** ds = "T(2ds. So we can expect da so de 2.708 х Round answer to at least 6 decimal places. Question Help: Message instructor Submit Question • Question 4 0/1 pt 100 19 Details sin(2) = (we can define f(0) = 1 to ensure continuity) by Find a 7th degree Maclaurin polynomial for f(x) dividing the power series for sin(x) by 2. C T-(x) = Hint: 17 should only have 4 terms. Use T7 to estimate the following integral: La sin(x) dc C Round answer to at least 6 decimal places