Please put the answer in a box or seperate I'm trying to check mine

Evaluate the indefinite integral as an infinite series. cos ( 9 x 4 ) dx First, write the Maclaurin series of f(x) = cos(9x4). cos(9X4) = _ n = 0 00 By: Dr. Roberto Carlos Toro-Rodr 1 - x x" = 1+x+x2+x3+... n=0 xn ex -=1+ x x2 x3 Ln! 1! 2! 3! + ... n=0 x2n+1 ( - 1) n x 3 5 sin x = X' (2n + 1)! = X 3! 51 7! + ... n=0 00 COS x = > (-1)2. x 2n x2 X : 1 21 4! 61 + ... n=0 (2n)!. x2n+1: 5 arctan x = X' 3 n= (2n + 1) x 5 7 + . .. In(1 + x) = > (-1)2-12" n : x 2 4 +... n=1 00 (1 + x) k = ( k ) x = 1 + kx+ k (le - 1) x2 k(k - 1) (k - 2) -x3 + ... n=0 2! 3