Is the change of order of the integration correct?

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The question is Change the order and then evaluate $$ \int_{3}^{4} \int_{2\pi}^{4\pi} \int_{0}^{\theta}{rzdzd\theta dr} $$ I am trying to change the order into $$ drd{\theta}dz $$ Here, I have confusion. What I have done, I am mentioning below. $$ \int_{0}^{4\pi}\int_{z}^{4\pi}\int_{3}^{4}{rzdrd{\theta}dz} $$ Is it Correct?