MAT 302 Assignment Problem 8.5

MAT 302 Assignment Problem 8.5 | Borough of Manhattan Community College

8.5 Partial Fractions

Question 1

Question 2

(1 point)

Which of the following is the correct form of the partial fraction decomposition of x4

Question 3

(1 point)

Which of the following is the correct form of the partial fraction decomposition of x4x4−1?

Question 4

(1 point)

Which of the following is the correct form of the partial fraction decomposition of

Question 5

(1 point)

Which of the following is the correct form of the partial fraction decomposition of

Question 6

(1 point)

Which of the following is the correct form of the partial fraction decomposition

Question 7

(1 point) Consider the integral

Enter a T or an F in each answer space below to indicate whether or not a term of the given type occurs in the general form of the complete partial fractions decomposition of the integrand. A1,A2,A3…A1,A2,A3… and B1,B2,B3,…B1,B2,B3,… denote constants.
You must get all of the answers correct to receive credit.

Question 8

1 point) Find the partial fraction decomposition for the following rational expression.

Question 9

Using the partial fraction decomposition above, evaluate the integral

Question 10

(1 point) Evaluate

Question 11

(1 point) Evaluate the integral

Question 12

(1 point) Make a substitution to express the integrand as a rational function and then evaluate the integral.

Question 13

(1 point)

Evaluate the integral :

Question 14

(1 point)

Evaluate the integral :

Question 15

(1 point) Calculate the integral:

Question 16

(1 point) Evaluate the integral when x>0

Question 17

(1 point) Find the indefinite integral, using whichever technique you choose:
Note: Use an upper-case "C" for the constant of integration.

Question 18

(1 point)

Make a substitution to express the integrand as a rational function and then evaluate the integral

Question 19

(1 point)

Evaluate the integral

Question 20

(1 point) Evaluate the integral.

Question 21

Find the area of the region under the curve y