How can I use SymPy for advanced calculus problems?

How can I use SymPy for advanced calculus problems?

You can use SymPy to perform symbolic mathematics, including differentiation, integration, and solving equations. What specific problem do you have in mind?

I need to compute the integral of sin(x^2) from 0 to infinity.

You can use the integrate function in SymPy. Here's how you can do it:

from sympy import symbols, integrate, sin, oo
x = symbols('x')
result = integrate(sin(x**2), (x, 0, oo))

This will give you the result of the integral.

What if I want to find the Taylor series expansion of e^x?

You can use the series function in SymPy. Here's an example:

from sympy import symbols, exp
x = symbols('x')
series_exp = exp(x).series(x, 0, 10)

This will give you the Taylor series expansion of e^x around 0 up to the 10th order.

Can SymPy help with solving differential equations?

Yes, SymPy has a dsolve function that can solve ordinary differential equations. Just provide the equation and the function you want to solve for.