作业帮MATLAB计算下积分
来源：学生作业帮 编辑：拍题作业网作业帮 分类：综合作业 时间：2024/04/29 01:51:09
MATLAB计算下积分
其中：T=0.1t+800t2+1200t3
其中：T=0.1t+800t2+1200t3
clc;
syms E e c1 c2 epsilon lamda t T;
T=0.1*t+800*t^2+1200*t^3;
e=epsilon*c1/(lamda^5*(exp(c2/lamda/T)-1));
E=int(e,lamda)
结果：
E =
(c1*epsilon)/(4*lamda^4) - (3*c1*epsilon*polylog(4, exp((10*c2)/(12000*lamda*t^3 + 8000*lamda*t^2 + lamda*t)))*(12000*t^3 + 8000*t^2 + t)^4)/(5000*c2^4) - (3*c1*epsilon*polylog(2, exp((10*c2)/(12000*lamda*t^3 + 8000*lamda*t^2 + lamda*t)))*(12000*t^3 + 8000*t^2 + t)^2)/(100*c2^2*lamda^2) + (3*c1*epsilon*polylog(3, exp((10*c2)/(12000*lamda*t^3 + 8000*lamda*t^2 + lamda*t)))*(12000*t^3 + 8000*t^2 + t)^3)/(500*c2^3*lamda) - (c1*epsilon*log(1 - exp((10*c2)/(12000*lamda*t^3 + 8000*lamda*t^2 + lamda*t)))*(12000*t^3 + 8000*t^2 + t))/(10*c2*lamda^3)
syms E e c1 c2 epsilon lamda t T;
T=0.1*t+800*t^2+1200*t^3;
e=epsilon*c1/(lamda^5*(exp(c2/lamda/T)-1));
E=int(e,lamda)
结果：
E =
(c1*epsilon)/(4*lamda^4) - (3*c1*epsilon*polylog(4, exp((10*c2)/(12000*lamda*t^3 + 8000*lamda*t^2 + lamda*t)))*(12000*t^3 + 8000*t^2 + t)^4)/(5000*c2^4) - (3*c1*epsilon*polylog(2, exp((10*c2)/(12000*lamda*t^3 + 8000*lamda*t^2 + lamda*t)))*(12000*t^3 + 8000*t^2 + t)^2)/(100*c2^2*lamda^2) + (3*c1*epsilon*polylog(3, exp((10*c2)/(12000*lamda*t^3 + 8000*lamda*t^2 + lamda*t)))*(12000*t^3 + 8000*t^2 + t)^3)/(500*c2^3*lamda) - (c1*epsilon*log(1 - exp((10*c2)/(12000*lamda*t^3 + 8000*lamda*t^2 + lamda*t)))*(12000*t^3 + 8000*t^2 + t))/(10*c2*lamda^3)