import sympy as sp
from IPython.display import display

x = sp.symbols('x',real=True)
a = sp.symbols('a',positive=True)
eq=[[sp.Abs(sp.cos(x)),(x,sp.pi/4,sp.pi)],[(2*x+1)**3,(x,0,1)],[x/sp.sqrt(3-x),(x,-1,2)],
    [sp.sqrt(a**2-x**2),(x,0,a)],[1/(x**2+1),(x,0,1)],[x*sp.cos(x),(x,0,sp.pi/2)]]
for i in range(len(eq)):
    display(sp.Eq(sp.Integral(eq[i][0], eq[i][1]), sp.simplify(sp.integrate(eq[i][0], eq[i][1]))))