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May 16th, 2019, 08:27 AM   #1
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without substituting

If f(x)=root(9-x^2) find the integration of f(x) in the interval [0,3] without using trigonometric substituting.
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May 16th, 2019, 09:19 AM   #2
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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 $\pi$.
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May 16th, 2019, 08:44 PM   #3
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Quote:
Originally Posted by skipjack View Post
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.
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May 17th, 2019, 09:10 AM   #4
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The answer involves $\pi$, which you wouldn't be able to obtain by a purely algebraic method.
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