Question

用matlab求椭圆周长，数值积分法。椭圆形式如下：x²/4+y ²=1

Answer 1

问：用matlab求椭圆周长，数值积分法。椭圆形式如下：x²/4+y ²=1

答：半椭圆y=3√（1-x^2/4）椭圆周长=2×∫√（1+y′²）dxmatlab>> syms x>> y=3*(1-x^2/4)^(1/2);>> y1=diff(y,x);>> f=(1+y1^2)^(1/2)f =(1 - (9*x^2)/(16*(x^2/4 - 1)))^(1/2)>> ss=@(x)(1 - (9*x.^2)./(16*(x.^...