Calculus 2

a. Write and simplify the integral that gives the arc length of the following curve on the given integral. b. If necessary, use a calculator to evaluate the approximate integral. y = cos 4x, for m S x = 2x a. Which of the following is a simplified form of the integral? O A. - 4 cos 4x dx B. - v1 + 16 sin -4x dx 2n O C. V1+4 sin 4xdx O D. V1+ 16 cos -4xdx b. The arc length of the curve is approximately (Round to three decimal places as needed.)Use one of the reduction formulas shown to the right (which are valid for a # 0) to evaluate the integral below. x" eax dx = x" eax [x5 5X dx a " /x-1 eax dx x" cos ax dx = x sin ax a " J x -1 sin ax dx x" sin ax dx = _ X" cos ax " x -'cos ax dx In "x dx =xIn "x-n In" ='xdx [ x5 5X dx =