Explicit integral could not be found

Hello There, I have a problem on integrating a function. The function is important to describe band bending on the surface of a semiconductor.. The function already contains MTFA factor and potential dependance Fermi-Dirac function. I want to integrate w.r.t E by keeping V and z as constant from 0 to inf. When I use usual procedure I get an error Warning: Explicit integral could not be found. I was able to integrate for a small energy(E) interval by finding the area under the curve. But I need an efficient way to solve this problem. Is there any better way? Thanks for your help.

Here is the function..

Syms E V z;

f= -(160822346162939158374951306007842683360580644730317667175195738112000000000000000*E*((315656633149031*sin((75557863725914323419136*pi*z*((10000*E)/3543 + 1)^(1/2)*((5534527050034529*E)/140737488355328)^(1/2))/315656633149031))/(75557863725914323419136*pi*z*((10000*E)/3543 + 1)^(1/2)*((5534527050034529*E)/140737488355328)^(1/2)) - 1))/(618501041962717063047950574462370983128147*(exp((5534527050034529*E)/140737488355328 + (5534527050034529*V)/140737488355328 - 7742803342998306071/14073748835532800) + 1)*((98722420244898788167299958078358473932800*((6877444662696557*E)/618970019642690137449562112)^(1/2))/(100093691394021*((34081300774431287738506648835156271556395069066039782704939008000000*E)/1113194117431279288697172049 + (((34081300774431287738506648835156271556395069066039782704939008000000*E)/1113194117431279288697172049 - 15026719/25000000000)^2 - ((278101189509843229200380651449663578591555031138635517788160000000000*E)/3339582352293837866091516147 + 13522409/300000000)^3)^(1/2) - 15026719/25000000000)^(1/3)) - (((98722420244898788167299958078358473932800*((6877444662696557*E)/618970019642690137449562112)^(1/2)*((278101189509843229200380651449663578591555031138635517788160000000000*E)/3339582352293837866091516147 + 13522409/300000000)^2)/33364563798007 - (604921630050617324495130493125141549023232*((34081300774431287738506648835156271556395069066039782704939008000000*E)/1113194117431279288697172049 - 15026719/25000000000)*((6877444662696557*E)/618970019642690137449562112)^(1/2))/834114094950175)/(2*(((34081300774431287738506648835156271556395069066039782704939008000000*E)/1113194117431279288697172049 - 15026719/25000000000)^2 - ((278101189509843229200380651449663578591555031138635517788160000000000*E)/3339582352293837866091516147 + 13522409/300000000)^3)^(1/2)) - (302460815025308662247565246562570774511616*((6877444662696557*E)/618970019642690137449562112)^(1/2))/834114094950175)/(3*((34081300774431287738506648835156271556395069066039782704939008000000*E)/1113194117431279288697172049 + (((34081300774431287738506648835156271556395069066039782704939008000000*E)/1113194117431279288697172049 - 15026719/25000000000)^2 - ((278101189509843229200380651449663578591555031138635517788160000000000*E)/3339582352293837866091516147 + 13522409/300000000)^3)^(1/2) - 15026719/25000000000)^(2/3)) + (3952027511271527982106121913080217600000*((6877444662696557*E)/618970019642690137449562112)^(1/2))/33364563798007 + ((((98722420244898788167299958078358473932800*((6877444662696557*E)/618970019642690137449562112)^(1/2)*((278101189509843229200380651449663578591555031138635517788160000000000*E)/3339582352293837866091516147 + 13522409/300000000)^2)/33364563798007 - (604921630050617324495130493125141549023232*((34081300774431287738506648835156271556395069066039782704939008000000*E)/1113194117431279288697172049 - 15026719/25000000000)*((6877444662696557*E)/618970019642690137449562112)^(1/2))/834114094950175)/(2*(((34081300774431287738506648835156271556395069066039782704939008000000*E)/1113194117431279288697172049 - 15026719/25000000000)^2 - ((278101189509843229200380651449663578591555031138635517788160000000000*E)/3339582352293837866091516147 + 13522409/300000000)^3)^(1/2)) - (302460815025308662247565246562570774511616*((6877444662696557*E)/618970019642690137449562112)^(1/2))/834114094950175)*((278101189509843229200380651449663578591555031138635517788160000000000*E)/3339582352293837866091516147 + 13522409/300000000))/(3*((34081300774431287738506648835156271556395069066039782704939008000000*E)/1113194117431279288697172049 + (((34081300774431287738506648835156271556395069066039782704939008000000*E)/1113194117431279288697172049 - 15026719/25000000000)^2 - ((278101189509843229200380651449663578591555031138635517788160000000000*E)/3339582352293837866091516147 + 13522409/300000000)^3)^(1/2) - 15026719/25000000000)^(4/3))))

Answer 1

[Stalin Samuel]

Explicit integral solution