Integrate:

LaTeX: \int\frac{1}{4+9x^2}\:dx∫ 1 4 + 9 x 2 d x

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.