All problems are worth 1 point.

For the next few problems, you want to concentrate on identifying the method needed to solve the problem. You don't need to solve the problem, just identify the method you need to use.

Choose from:

a: U-Substitution.

b. Integration by Parts.

c. Trigonometric Techniques.

d. Trigonometric Substitutions.

e. Partial Fraction Decomposition.

f. Elemementary Methods

Identify the method used to evaluate the integral:

1)

ó õ 2x - 1 dx (x - x2)3

2)

ó õ sin2(x) cos3(x) dx

3)

ó õ (2x + 3) dx   _____ Öx2 + 3x

4)

ó õ dx   _____ Öx2 - 16

5)

ó õ x dx (x + 2)(x + 1)(x + 3)

6)

ó õ 2x + 3 dx   _____ Öx2 + 3x

7)

ó õ et Ö e2t + 1 dt

8)

ó õ   _____ Ö4 - x2 dx

9)

ó õ cos(x)dx   ________ Ö1 + sin(x)2

10)

ó õ dx x2 + x + 4

 
 
 

Part 2: For each of the integrals listed below, identify the type of integration necessary, then set up and solve the problem by hand. Use a technology instrument to calculate the same answer. Write down the answer you found by using a machine. Then subtract your answer from the machine answer on the machine. Did you get zero? If not, why?