ketch the region enclosed by x+y2=6 and x+y=0. a) Favoring convenience, should you integrate with respect to x or y? b) What are the limits of integration? lower limit and upper limit c) Find the area of the region by integrating.

ketch the region enclosed by x+y2=6 and x+y=0. a) Favoring convenience, should you integrate with respect to x or y? b) What are the limits of integration? lower limit and upper limit c) Find the area of the region by integrating.

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

Section8.3: Volume And Average Value

Problem 7E

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Question

Sketch the region enclosed by x+y²=6 and x+y=0.

a) Favoring convenience, should you integrate with respect to x or y?

b) What are the limits of integration?

lower limit and upper limit

c) Find the area of the region by integrating.

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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