with finding the area under a line i need to find anti derviatives for:

e^3x dx

Cos^4 x Sinxdx

e^(x^2) xdx

e^x^2 dx

Cos(3x)dx

expression ---> anti-derivative

e^3x dx ---- (1/3)e^(3x) + c
cos^4 x sinx dx --- (-1/5)cos^5 x + c
e^(x^2 x dx ---- (1/2)e^(x^2) + c
e^(x^2) dx ------ ?????
cos(3x) dx ------ (1/3) sin(3x) + c