import sympy as sp
from IPython.display import display

a,x = sp.symbols('a x',real=True)
eq=[x**a,sp.sin(x),sp.cos(x),
    1/sp.cos(x)**2,1/sp.sin(x)**2,sp.E**x,a**x]
for f in eq:
    display(sp.Eq(sp.Integral(f, x),
                 sp.simplify(sp.Integral(f, x).doit())))