matlab求解区间带有字母的定积分matlab中如何计算这个的定积分啊?有表达式解析解都可以

Question

matlab求解区间带有字母的定积分
matlab中如何计算这个的定积分啊?有表达式解析解都可以

Answer 1

syms T h0 x
result = int(1/(h0-sin(x))^3)
答案如下：
result =

- ((4*h0^2 - 1)/(h0^4 - 2*h0^2 + 1) - (tan(x/2)^3*(5*h0^2 - 2))/(h0*(h0^4 - 2*h0^2 + 1)) - (tan(x/2)*(11*h0^2 - 2))/(h0*(h0^4 - 2*h0^2 + 1)) + (tan(x/2)^2*(h0^2 + 2)*(4*h0^2 - 1))/(h0^2*(h0^4 - 2*h0^2 + 1)))/(tan(x/2)^2*(2*h0^2 + 4) - 4*h0*tan(x/2)^3 - 4*h0*tan(x/2) + h0^2 + h0^2*tan(x/2)^4) - (atan(((((2*h0^2 + 1)*(2*h0^4 - 4*h0^2 + 2))/(2*(h0 - 1)^(5/2)*(h0 + 1)^(5/2)*(h0^4 - 2*h0^2 + 1)) - (h0*tan(x/2)*(2*h0^2 + 1))/((h0 - 1)^(5/2)*(h0 + 1)^(5/2)))*(h0^4 - 2*h0^2 + 1))/(2*h0^2 + 1))*(2*h0^2 + 1))/((h0 - 1)^(5/2)*(h0 + 1)^(5/2))

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