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 May 16th, 2019, 08:27 AM #1 Member   Joined: Oct 2012 Posts: 76 Thanks: 0 without substituting If f(x)=root(9-x^2) find the integration of f(x) in the interval [0,3] without using trigonometric substituting.
 May 16th, 2019, 09:19 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,623 Thanks: 2076 Hint: show on a simple graph an area corresponding to the value of the integral. You may assume that the area of a unit circle is $\pi$. Thanks from topsquark
May 16th, 2019, 08:44 PM   #3
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Quote:
 Originally Posted by skipjack Hint: show on a simple graph an area corresponding to the value of the integral. You may assume that the area of a unit circle is $\pi$.
Ok. Is there an algebraic method to solve rather than sketching?

Last edited by skipjack; May 17th, 2019 at 09:00 AM.

 May 17th, 2019, 09:10 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,623 Thanks: 2076 The answer involves $\pi$, which you wouldn't be able to obtain by a purely algebraic method. Thanks from topsquark

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