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