Q. 34 Evaluate Each of the integrals i... [FREE SOLUTION]

Chapter 13: Q. 34 (page 1004)

Evaluate Each of the integrals in exercises 33-36 as an iterated integral and then compare your answer with thoise you found in exercise 29-32
$鈭� {鈭�}_{R} x^{2} y d A W h e r e R = {(x, y) | - 1 鈮� x 鈮� 0, 0 鈮� y 鈮� 2}$

Short Answer

Expert verified

The value of integral using iteration method is $鈭� {鈭�}_{R} x^{2} y d A W h e r e R = {(x, y) | - 1 鈮� x 鈮� 0, 0 鈮� y 鈮� 2}$ is $\frac{2}{3} u n i t s$

Step by step solution

Given information

We are given an integral $鈭� {鈭�}_{R} x^{2} y d A W h e r e R = {(x, y) | - 1 鈮� x 鈮� 0, 0 鈮� y 鈮� 2}$

Evaluate the integral

We get,

${鈭�}_{0}^{2} {鈭�}_{- 1}^{0} x^{2} y d x d y {鈭�}_{0}^{2} {[\frac{x^{3} y}{3}]}^{0}_{- 1} d y = {鈭�}_{0}^{2} \frac{y}{3} d y = \frac{1}{6} {[y^{2}]}^{2}_{0} = \frac{2}{3}$

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91影视

Evaluate Each of the integrals in exercises 33-36 as an iterated integral and then compare your answer with thoise you found in exercise 29-32
$鈭� {鈭�}_{R} x^{2} y d A W h e r e R = {(x, y) | - 1 鈮� x 鈮� 0, 0 鈮� y 鈮� 2}$

Short Answer

Step by step solution

Given information

Evaluate the integral

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Calculus

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91影视

Evaluate Each of the integrals in exercises 33-36 as an iterated integral and then compare your answer with thoise you found in exercise 29-32鈭�鈭�Rx2ydAWhereR={(x,y)|-1鈮�x鈮�0,0鈮�y鈮�2}

Short Answer

Step by step solution

Given information

Evaluate the integral

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Probability and Statistics

Statistics

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Evaluate Each of the integrals in exercises 33-36 as an iterated integral and then compare your answer with thoise you found in exercise 29-32
$鈭� {鈭�}_{R} x^{2} y d A W h e r e R = {(x, y) | - 1 鈮� x 鈮� 0, 0 鈮� y 鈮� 2}$