USING PYTHON. Given the integral (x^3 + 2)/ (x^4 + 4x^2 + 3) dx: (a) Write the form of the partial fraction decomposition (by hand). Use this form to write and solve equations in Python to obtain the coefficients. (b) Check your answer to part (a) by using the apart command. (c) Use your answer to (a) or (b) to evaluate the integral. Check your answer by integrating directly.

2. Given the integral 47422 + 3 dx: (a) Write the form of the partial fraction decomposition (by hand). Use this form to write and solve equations in Python to obtain the coefficients. (b) Check your answer to part (a) by using the apart command. (c) Use your answer to (a) or (b) to evaluate the integral. Check your answer by integrating directly