Question

Use a computer algebra system to evaluate the iterated integral.\\ $\int_0^2 \int_{-\sqrt{4-y^2}}^{\sqrt{4-y^2}} \int_0^{y^2} y \, dz \, dx \, dy$

          Use a computer algebra system to evaluate the iterated integral.\\
$\int_0^2 \int_{-\sqrt{4-y^2}}^{\sqrt{4-y^2}} \int_0^{y^2} y \, dz \, dx \, dy$
        
Use a computer algebra system to evaluate the iterated integral.

∫0^2 ∫-√(4-y^2)^√(4-y^2)∫0^y^2 y   dz   dx   dy

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Use a computer algebra system to evaluate the iterated integral.
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Transcript

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00:01 So in this question, we are going to be evaluating a double integral using a computer algebra system.
00:09 And my double integral is the integral from 0 to 1 of the integral from y to 2y of the sign of the quantity of x plus y, dx, d, y.
00:26 And so this would be extremely difficult for me to do by hand, perhaps.
00:32 And so that's why they're telling me to use symbolab.
00:36 So we're going to go ahead and we're going to go to symbolab .com slash solver slash double integrals calculator in order to evaluate this double integral.
00:49 And i'm just going to fill in my limits of integration.
00:53 I'm integrating 0 to 1, y to 2y, and then my intigrant is the sign of the question.
01:04 Of x plus y...
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