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 May 17th, 2019, 08:42 AM #1 Member   Joined: Oct 2012 Posts: 78 Thanks: 0 integration Hi How we can get integral of f(x)=(9-x^2)^(1/2) without using trigonometric substitution. indefenite integral.
 May 17th, 2019, 08:57 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,926 Thanks: 2205 The hint I gave you for the definite integral can also be applied to obtain an indefinite integral.
 May 17th, 2019, 02:37 PM #3 Global Moderator   Joined: May 2007 Posts: 6,806 Thanks: 716 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. Last edited by mathman; May 17th, 2019 at 02:42 PM.

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