What is the integral from 0 to 2 of integral from 0 to sqrt(2-x^2 of)18xy ?

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integral from 0 to 2 of integral from 0 to sqrt(2-x^2 of)18xy

\int_{0}^{2} \int_{0}^{2 - x^{2}} 18 x y d y d x

0

Solution steps

\int_{0}^{2} \int_{0}^{2 - x^{2}} 18 x y d y d x

\int_{0}^{2 - x^{2}} 18 x y d y = 9 x (- x^{2} + 2)

= \int_{0}^{2} 9 x (- x^{2} + 2) d x

\int_{0}^{2} 9 x (- x^{2} + 2) d x = 0

= 0

x \to - 2 lim (\frac{x + 2}{2 x + x ^{2} + 12})

x \to 3 lim (\frac{( 2 x ^{3} - 5 x ^{2} - 2 x - 3 )}{4 x ^{3} - 13 x ^{2} + 4 x - 3})

x \to 0 lim (x \cdot cos (x))

\int \frac{- 4 x + 4}{5 ( 4 x ^{2} - 4 x + 5 )} d x

f (θ) = 4 sin (θ)

What is the integral from 0 to 2 of integral from 0 to sqrt(2-x^2 of)18xy ?
The integral from 0 to 2 of integral from 0 to sqrt(2-x^2 of)18xy is 0