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Solving: $\int\left(12-y\right)\sqrt{9-y^2}dy$
Solve instead: $\int\left(12-y\right)\sqrt{9-y^2}dx$

Exercise

$\int\left(12-y\right)\sqrt{9-y^2}dx$

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Final answer to the exercise

$54\arcsin\left(\frac{y}{3}\right)+6y\sqrt{9-y^2}+\frac{1}{3}\sqrt{\left(9-y^2\right)^{3}}+C_0$

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