Sketch the region D of integration, and then evaluate the integral by reversing the order of integration, if necessary: ∫ from 0 to 8 and ∫ from √3 y to 2 for ex4 dx dy (lower limit of x is cube-root of y and nothing between two integrals.)

Sketch the region D of integration, and then evaluate the integral by reversing the order of integration, if necessary: ∫ from 0 to 8 and ∫ from √3 y to 2 for ex4 dx dy (lower limit of x is cube-root of y and nothing between two integrals.)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.2: Integration By Parts

Problem 35E

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Question

Sketch the region D of integration, and then evaluate the integral by reversing the order of integration, if necessary:

∫ from 0 to 8 and ∫ from √3 y to 2 for e^x4dx dy

(lower limit of x is cube-root of y and nothing between two integrals.)

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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