Let R be the plane region defined by x² + y² ≤ 8. Evaluate the double integral | = ₁ (7 + 9x² sin (ny) - 6 x³ cos (ty)) dA. R This can be done "by inspection" without using any advanced techniques. | = = SSR (7 + 9x² sin (y) 6 x³ cos (лy)) dА = ... (Give an exact answer, not a decimal approximation.)

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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Let R be the plane region defined by x² + y² ≤ 8.
Evaluate the double integral | =
₁ (7 + 9 x² sin (ny) - 6 x³ cos (ty)) dA.
R
This can be done "by inspection" without using any advanced techniques.
- SSR (7 + 9x² sin (y) 6 x³ cos (лy)) dА =
...
(Give an exact answer, not a decimal approximation.)
Transcribed Image Text:Let R be the plane region defined by x² + y² ≤ 8. Evaluate the double integral | = ₁ (7 + 9 x² sin (ny) - 6 x³ cos (ty)) dA. R This can be done "by inspection" without using any advanced techniques. - SSR (7 + 9x² sin (y) 6 x³ cos (лy)) dА = ... (Give an exact answer, not a decimal approximation.)
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