Question

MATLAB中怎么求积分

syms z x h
s=9/4*(pi-2/3*z*tan(x)+(1+2*h)/3-1/6*(2/3*z*tan(x)-(1+2*h)/3)^3)+((2-z)*tan(x)+h-3/2)*sqrt(9/4-((2-z)*tan(x)+h-3/2)^2)
f=int(s,z,0,2*tan(x)+h)

Answer 1

int函数
Examples

syms x;
int(-2*x/(1 + x^2)^2)
The result is:

ans =
1/(x^2 + 1)

syms x z;
int(x/(1 + z^2), z)

The result is:

ans =
x*atan(z)

Integral the following expression from 0 to 1:

syms x;
int(x*log(1 + x), 0, 1)

The result is:

ans =
1/4

Integral the following expression from sin(t) to 1:

syms x t;
int(2*x, sin(t), 1)

The result is:

ans =
cos(t)^2

Find indefinite integrals for the expressions listed as the elements of a matrix:

syms x t z;
alpha = sym('alpha');
int([exp(t), exp(alpha*t)])

The result is:

ans =
[ exp(t), exp(alpha*t)/alpha]