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(Solved): Sketch the region of integration and change the order of integration. \[ \int_{1}^{4} \int_{0}^{\ln ...
Sketch the region of integration and change the order of integration. \[ \int_{1}^{4} \int_{0}^{\ln (x)} f(x, y) d y d x \] \[ \int_{0} 1 \quad f(x, y) d x d y \] \( [-/ 4.16 \) Points \( ] \) SCALC9 \( 15.2 .514 . \times P \) Evaluate the integral by reversing the order of integration. \[ \int_{0}^{4} \int_{\sqrt{x}}^{2} \frac{5}{y^{3}+1} d y d x \]
Consider the following. \( \iint_{D} 4 x^{2} y d A \), where \( D \) is the top half of the disk with center the origin and radius 4 Change the given integral to polar coordinates. \[ \begin{array}{l} \int_{0}^{A} \int_{0}^{B}( \\ A= \\ B= \end{array} \] Evaluate the integral.