Math 152                                                                                                                                Name:
Quiz 7
  1. Evaluate each of the following integrals. (One bonus point for a correct check of your work in each problem.)
    1. $\int x^{2}e^{2x}dx$

      2.  

       
       
       
       
       
       
       
       
       

    2. $\int x^{3}\ln xdx$

      3.  

       
       
       
       
       
       
       
       

  2. Use an appropriate trigonometric substitution to convert the following integral into a trigonometric integral in terms of $\theta .$ Simplify the integral as much as possible, but do not integrate it.