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Mathematics, 04.02.2020 21:46 roselyn3301

Use trigonometric substitution to verify that

∫0xa2−t2√dt
〖√(a^2-t^2 ) dt〗=1/2 a^2 sin^(-1)⁡〖x/a〗+1/2 x√(a^2-x^2 )

use the figure to give trigonometric interpretations of both terms on the right side of the equation in part (a).

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Use trigonometric substitution to verify that

∫0xa2−t2√dt
〖√(a^2-t^2 ) dt〗=1/2 a^2...
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