3. Consider the function f(x): = x/3 5 a. (2 points) Use Wolfram Alpha to obtain the numerical value of the definite integral I() = f f(x)dx. Submit a screenshot of the page showing the input and the result with at least 12 decimal places. b. (2 points) Complete the following MATLAB code to find the least positive integer N such that MN (f) I(f) < 10-6. (Recall that My is the composite midpoint rule.) % Question 3b I = % Enter the value from part (a) with at least 12 decimal places. f = @(x) % Complete the definition of the function f M = @(f, a, b, N) (b-a)/N*sum ( arrayfun (f, (a+ (b-a)/(2*N) *linspace (1, 2*N-1, N))) ); N = 0; Your code for searching for the desired N here. disp (N): solve Integrate[(x^1/3)/5, {x,0,7}] V NATURAL LANGUAGE Sa MATH INPUT Definite integral 0.35 0.30 0.25 0,20 0.15 0.10 0.05 0.00 x 21 7 dx = 5 20 Visual representation of the integral left sum 2 Riemann sums FROM THE MAKERS OF WOLFRAM LANGUAGE AND MATHEMATICA 3 4 2.00857774191101 5 6 7 Step-by-Step Solutions with Pro Get a step ahead with your homework Go Pro Now WolframAlpha (assuming subintervals of equal length) EXTENDED KEYBOARD EXAMPLES Fewer digits 7 7 (1) 4/ H-3 = 2137 77 +27 () 4/ (-) + 73/77 + 0(()^) 20 10n 5 180 n More digits UPLOAD RANDOM Step-by-step solution More cases H is the generalized harmonic number L(S) is the Riemann zeta function UPGRADE TO PRO DISCOVER WHAT'S POSSIBLE with Wolfram Alpha Take the Tour APPS TOUR Sign in