MATLAB: Numerical integration using cumtrapz integrationnumerical integrationtrapazoidal rule how to add upper and lower limits in cumtrpz function? Best Answer The cumtrapz function integrates a vector, and ideally, the dependent variable vector with respect to the independent variable vector. The limits of the independent variable vector are the limits of the integration, so for example: x = 0:42;y = randn(size(x));Int_y_dx = cumtrapz(x, y);figureyyaxis leftplot(x, y)ylabel('$y(x)$', 'Interpreter','latex')yyaxis rightplot(x, Int_y_dx)ylabel(sprintf('$\\int_{%d}^{%d}y(x)\\ dx$',min(x),max(x)), 'Interpreter','latex', 'FontSize',14)gridxlim([min(x) max(x)]). Related SolutionsMATLAB: Integration in MATLAB with symbolic integration limits syms xy=x^2f=int(y,1,x) % integration between 1 and x MATLAB: Numerical integration This turned out to be surprisingly tricky, but here is the solution. First, define a functionfunction fzv = integrateOverSecondPair(fun,x,y,zmin,zmax,vmin,vmax)% DBLQUAD evaluates FUN for a vector x and scalar y. The backwards loop is% Matt Fig's dynamic preallocation.for ii=numel(x):-1:1 g = @(z,v) fun(x(ii),y,z,v); fzv(ii) = dblquad(g,zmin,zmax,vmin,vmax);endThen use the commandsfzv = @(x,y) integrateOverSecondPair(@f,x,y,zmin,zmax,vmin,vmax);fxyzv = dblquad(fzv,xmin,xmax,ymin,ymax); Related QuestionIntegration numerical with variable limitsHow to plot the gradient vector of y=f(X) which is perpendicular to the graph
Best Answer