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Thread: Integral of a quarter-circle

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    Junior Member Heresy's Avatar
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    Integral of a quarter-circle

    Find the area bounded by the curve y = (4-x^2)^1/2, the x-axis and the y-axis in the first quadrant.

    I know what the integral is, but whenever I try to solve it I end up with 16/3 - when the answer should be pi units^2

    Any help would be appreciated. Thanks.
    Last edited by Heresy; 20 Nov 2018 at 3:03 PM.
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    Member HeroWise's Avatar
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    Re: Integral of a quarter-circle

    Last edited by HeroWise; 20 Nov 2018 at 3:18 PM.

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    Junior Member Heresy's Avatar
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    Re: Integral of a quarter-circle

    Quote Originally Posted by HeroWise View Post
    Cheers!
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    Re: Integral of a quarter-circle

    something that should be explicitly noted is that



    (and in general, )

    usually the bounds of the integral will mean that but one should still be careful when dealing with situations like this.
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    Re: Integral of a quarter-circle

    Yes definetly, i have been in situations where i got that wrong lol. aka Weird vector questions which has both multiple positive cases and the negative cases which i missed because of that silly thing

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    Junior Member Heresy's Avatar
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    Re: Integral of a quarter-circle

    Quote Originally Posted by fan96 View Post
    something that should be explicitly noted is that



    (and in general, )

    usually the bounds of the integral will mean that but one should still be careful when dealing with situations like this.
    Thank you.

    On a completely unrelated note - how do you type in that font with the equations - I'm curious lol - it will make it 10 times easier next time I inevitably ask for help
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    Re: Integral of a quarter-circle

    Quote Originally Posted by Heresy View Post
    Thank you.

    On a completely unrelated note - how do you type in that font with the equations - I'm curious lol - it will make it 10 times easier next time I inevitably ask for help
    It's called tex.

    Here is a good guide to get started: A Short Guide to LaTeX
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