Continuing with the articles about the Sympy library, the previous articles covered the following:

• Calculating limits with Sympy
• Calculating derivatives with Sympy

This article covers the topic of calculating Integrals.

Next, run ipython notebook (if you want to load the notebook file for this article, you can download it from the following link (broken link)).

The tutorial script is shown below:

# coding: utf-8

# In[16]:

#Se importa sympy

from sympy import *

x = Symbol('x')

# In[26]:

diff(5*(x**5)+3*(x**3)-6*x+5,x); #Se calcula la derivada de la funcion 5(x^5)+3(x^3)-6x+5

# In[27]:

integrate(Out[3],x);#Se integra el resultado de la derivada,noten q el resultado es la ecuación de In[3] pero sin el valor constante

# In[19]:

integrate(cos(x)**2+sin(x),x); #Se inte cos(x)**2+sin(x) con respecto a x

# In[20]:

pprint (Integral(cos(x)**2+sin(x),x));#Se muestra la integral de la ecuación anterior

# In[28]:

integrate(Out[27],(x,0,5));#Se calcula el valor de la integral de 0 a 5 de la ecuación de la salida 27

# In[29]:

integrate(cos(x)**2+sin(x),(x,0,pi));#Se calcula la integral con el rango de 0 a pi

The image of the notebook execution is shown below:

For a better view of the exercise I recommend running the notebook from the link above.

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