The Cosine Fresnel Function is an integral function commonly used in optics and geometry. It is given by C(x) = /x cos(?)dt 0 This function has no elementary antiderivative (i.e. no alternative algebraic expression). Answer the following. (a) Consider the function h(x) defined by h(x) = e'x2C(x3). Determine the derivative A' (x). (b) Estimate the area under the curve y = cos(x?) on the interval [1, 1] by using 4 subintervals and Simpson's Rule. Round your answer to five decimals