Matlab has several "black$-$box" integration commands that will work in most instances. They incorporate many

of the features of numerical integration techniques we discussed in class and more.

Write a script that uses Matlab's built$-$in function integral to approximately calculate

${\displaystyle \underset{1}{\overset{2}{}}}{e}^{x^2}ln(x)dx$

and call this value int$1.$

Then, use Matlab's built$-$in function integral$2$ to approximately calculate

${\displaystyle \underset{0}{\overset{3}{}}}{\displaystyle \underset{-1}{\overset{1}{}}}\frac{1}{\sqrt[\phantom{2}]{x+y+4}(x-y+8{)}^2}dxdy$

and call this value int$2.$

You'll need to consult Matlab's documentation for these two functions since we didn't use them in class. In

Python, you should alternatively be able to use quad and dblquad here.

Script $$