Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,873 users

Help. I have a test! Improper fraction integration of

0 votes

∫ (x^3 - 7x^2 + 5x + 40) / (x^2 - 2x - 8) dx Thank you?

asked Mar 7, 2015 in CALCULUS by anonymous
reshown Mar 7, 2015 by casacop

1 Answer

0 votes

Step 1:

The integral expression is .

Simplify the integrand by using long division.

image

Result of long division is .

image.

Step 2:

Partial decomposition of image.

Equate the image coefficients.

image

Equate the constant terms.

image

Multiply each side of equation image by image.

image

Add the equations image and image.

image

image

Substituteimage in equation image.

image

image

Substitute the values image,image in equation image.

image.

Step 3:

image image

image

image

image.

Solution:

image.

answered Mar 7, 2015 by david Expert

Related questions

asked Sep 15, 2018 in CALCULUS by anonymous
...