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Iterated Double Integral in Polar Coordinates
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Description
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Compute the iterated double integral in polar coordinates.
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Iterated Double Integral in Polar Coordinates
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Integrand:
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>
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| (1) |
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Region:  <= r and r <= r[2](theta)}](/support/helpjp/helpview.aspx?si=3973/file05298/math63.png)
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](/support/helpjp/helpview.aspx?si=3973/file05298/math70.png)
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| (2) |
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](/support/helpjp/helpview.aspx?si=3973/file05298/math86.png)
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| (3) |
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| (4) |
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| (5) |
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Inert Integral: 
(Note automatic insertion of Jacobian.)
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![Student[MultivariateCalculus][MultiInt](theta/(1+__r__^2), __r__ = 0 .. theta, theta = 0 .. (1/3)*Pi, coordinates = polar[__r__, theta], output = integral)](/support/helpjp/helpview.aspx?si=3973/file05298/math151.png)
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| (6) |
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Value:
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![Student[MultivariateCalculus][MultiInt](theta/(1+__r__^2), __r__ = 0 .. theta, theta = 0 .. (1/3)*Pi, coordinates = polar[__r__, theta])](/support/helpjp/helpview.aspx?si=3973/file05298/math167.png)
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| (7) |
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Stepwise Evaluation:
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![Student[MultivariateCalculus][MultiInt](theta/(1+__r__^2), r = 0 .. theta, theta = 0 .. (1/3)*Pi, coordinates = polar[r, theta], output = steps)](/support/helpjp/helpview.aspx?si=3973/file05298/math183.png)
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| (8) |
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