![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
(a)
\The expression is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ebf98ee2cc2ac332bb25a6d55c83c4b0.png\")
.
Factorize the denominator.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=917767dfdc553e5e820778939455e095.png\")
The denominator has two distinct linear factors.
\Thus, the partial fraction decomposition of the expression is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=012455914598e33f7183e9a9d143d63c.png\")
.
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
(b)
\The expression is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=6722b72d032b0296f92899535a359605.png\")
.
The degree of the numerator is greter than or equal to degree of denominator then perform the long division method.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0643055bcb75b5d0c2d771dba8af223f.png\")
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=13ad3e59c1a48bacd06f72e18fc43d7a.png\")
The denominator of the function has no factors.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=c5bde3b5756c915e42883cbd4025bbd0.png\")
Thus, the partial fraction decomposition of the expression is .
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
(a)
\The partial fraction decomposition of the expression is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=164132616f7719a41b7923d856c203b1.png\")
.
(b)
\The partial fraction decomposition of the expression is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=c5bde3b5756c915e42883cbd4025bbd0.png\")
.