Compute the value of the integral:

using the substituion method. $($You might be able to find a package that will integrate this

without substitution, but the point of this execise is to learn to do the substitution. Therefore,

unless you do the substitution method, your work will not be counted!$)$

Note that this is a known integral whose answer is$,$ in fact, $.$

Use the substitution method taught in lecture and discussed in the Newman text.

Print out your result to a precision of $8$ digits past the decimal point. Then subtract your answer

from numpy.pi and print the difference to $15$ digits pas the decimal point.

NOTE: Be sure to use np$.$sqrt$()$ to compute any square roots required.

Name your script hw$2\_$pi$.$py$.$

Your output must match this format:

Pi is $3\mathrm{.}14159265$

Difference from numpy.pi is: $-0\mathrm{.}000000000000099$