这含参数的定积分matlab怎么编

Question

这个定积分怎么处理啊xdm们，除了a＇都是常数，积分上下限ac＇ al＇

Answer 1

syms aL ac E R G D eL
fun = @(x) 4/3*E*(R.^0.5)*(G.^(D-1)*eL.^(2-D)).^(3/2) *(1-cos(3*sqrt(pi)*sqrt(x))).^1.5 * 0.5*D*aL.^(D/2) *x.^(-(D+2)/2);
Q=int(fun,ac,aL)
pretty(Q)

Q =

int((2DER^(1/2)aL^(D/2)(G^(D - 1)eL^(2 - D))^(3/2)(1 - cos((374176054803257x^(1/2))/70368744177664))^(3/2))/(3*x^(D/2 + 1)), x, ac, aL)

 
                  D
                  -
 aL               2   D - 1   2 - D 3/2 /        / 374176054803257 sqrt(x) \ \3/2
  / D E sqrt(R) aL  (G      eL     )    | 1 - cos| ----------------------- | |    2
 |                                      \        \      70368744177664     / /
 | ------------------------------------------------------------------------------------- dx
/                                          D
 ac                                        - + 1
                                           2
                                        3 x