![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
Observe the figure :
\The figure represents the semi circle,that means you have to double the integral for the total area.
\Radius of the circle is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=52257f1605fb2b790995dd69987af2c6.png\")
.
Apply integration with respective to ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=b1f02a70f7489dd3b8742e9e1c94d6d0.png\")
.
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=072a82f4fce2e49c0b1aa23283738306.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f2f3f7cfc19a8b45dd047fcd8b034fd2.png\")
From the special integration formula : (Therom 8.2.1)
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=5a31daf34e922933fb6d637fa281bd70.png\")
.
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=18227dac6b8386a193b6ba439796db69.png\")
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The area of the shaded region is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=e1b60eb16b01fea159b4bc44073e4ab0.png\")
.