Definite and Indefinite Integrals in Python

Python Code:

from sympy import *

V,omega,t=symbols('V omega t', positive=True)
v=V*cos(omega*t)
v_int=(v**2).integrate(t)
#You can also use: v_int=integrate(v**2,t)
print(v_int)

vdef=integrate(v**2,(t,0,2*pi/omega))
print('The integral from 0 to 2pi/omega is', vdef)

rms=sqrt(omega/(2*pi)*vdef)
print('The root mean square value of the voltage is', rms)

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