integration

Oct 2012
78
0
Hi
How we can get integral of f(x)=(9-x^2)^(1/2) without using trigonometric substitution. indefenite integral.
 

skipjack

Forum Staff
Dec 2006
21,481
2,470
The hint I gave you for the definite integral can also be applied to obtain an indefinite integral.
 

mathman

Forum Staff
May 2007
6,932
774
The graph of the function is a semicircle of radius 3 centered at (3,0). To get an indefinite integral calculate the angle between the x value on the circle and add the sector area to the triangle area (for x > 3). If x < 3, you need to subtract a triangle from the sector area.
 
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