Antiderivative of some functions

[JinSu]

Anyone know how to get antiderivative of these? I am stuck.

1) cos(t^5)
2) tan(x^2)
3) (1-x^2)^(1/3)

Any explanation on how to do these would be appreciated.

 

[Jameson]

None of them are elementary functions.

 

[tmc]

Best way to do those would be using Maple or Mathematica...here for example:
http://integrals.wolfram.com/index.jsp

 

[mepcotterell]

int cost^5 = 1/11*t*(5*sin(t^5)*t^5*(t^5)^(7/10)+11*(t^5)^(7/10)*cos(t^5)-5*t^5*sin(t^5)*LommelS1(17/10, 3/2, t^5)-11*t^5*LommelS1(7/10, 1/2, t^5)*cos(t^5)+11*LommelS1(7/10, 1/2, t^5)*sin(t^5))/(t^5)^(7/10)