Respond to the following problems. You can work them on papers then scan and post them here or you can use Math Equation to type them directly: 1. (20 points) Find S ( 1tex ) 2 dx. This is an easy version of integration by substitution. 2. (20 points) Find f Inx (1+ Inz)? dx. This is a challenge one. Hint: It requires integration by part and you need a factor of x in the denominator. 3. (20 points) Find S cos( va ) dx. This is part of techniques for Integration. 4. (20 points). Determine whether the statement is True or False. Verify it. If x = sec(0) , then S V12-1 I dx = S (sec 0) (tan 0) do 5. (20 points) Determine whether the improper integral diverges or converges. Evaluate the integral if it converges. fo xe * da