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 (1+ex)? @x. This is an easy version of integration by substitution. 2. (20 points) Find S Inx (1+Inz)2 d. 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 J cos( va) da. This is part of techniques for Integration. 4. (20 points). Determine whether the statement is True or False. Verify it. If a = sec(0) , then J . dx = S (sec 0) (tan 0) de 5. (20 points) Determine whether the improper integral diverges or converges. Evaluate the integral if it converges