Improper integrals arise in polar coordinates when the radial coordinate r becomes arbitrarily large. Under certain conditions, these integrals are treated in the usual way shown below.ß ∞ß bSfgr,0)rJJ gr.α aα a= limb→∞g(r,0)rdrde:g(r,0)rdrdeUse the given technique to evaluate the following integral.S Se-x² - y² dA; R= {(1,0): 1 ≤r<∞0,0 ≤0 ≤t}еRS Se√√₁x²-xdA=DеR(Type an exact answer, using as needed.)

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Improper integrals arise in polar coordinates when the radial coordinater becomes arbitrarily large. Under certain conditions, these integrals are treated in the usual way shown below. B 00 B b SS g(r,0)rdrde = lim SS9(r.0rdrde b→∞ a a Use the given technique to evaluate the following integral. ffe -x2-y²dA; R=((r.0): 1≤r<∞0,0 ≤0≤x} R SS₁²x²-x²= R (Type an exact answer, using as needed.)

Improper integrals arise in polar coordinates when the radial coordinater becomes arbitrarily large. Under certain conditions, these integrals are treated in the usual way shown below. B 00 B b SS g(r,0)rdrde = lim SS9(r.0rdrde b→∞ a a Use the given technique to evaluate the following integral. ffe -x2-y²dA; R=((r.0): 1≤r<∞0,0 ≤0≤x} R SS₁²x²-x²= R (Type an exact answer, using as needed.)

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.

Chapter7: Integration

Section7.5: The Area Between Two Curves

Problem 26E: Find the area between the curves in Exercises 1-28. x=0, x=/4, y=sec2x, y=sin2x

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