1. Evaluate this integral using trigonometric substitution: please show all the steps

34x24x2dx

2. evaluate this integral using Partial Fraction Decomposition Please show all the steps thank you:

2x2+x15xdx

3. Determine whether the following improper integral diverges or converges. Justify all the steps.:

1xexdx

Please show all the steps in calc 2 thank you