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integral hyperbola area

0 votes

Find the area of the region bounded by the hyperbola 9x^2 -4y^2 = 36 and the line x = 3.

asked Jun 19, 2013 in CALCULUS by rockstar Apprentice

1 Answer

0 votes

Given hyperbola

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Given line is x = 3

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Integrate

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Let x = secu , dx = 2(tanu)(secu)du

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Here m = 3

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The integral of sec(u) is log(tan(u) + sec(u))

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answered Aug 17, 2013 by jouis Apprentice

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