6 sin y 2 100 points 2 0 consequently calculate

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: case, Consequently, I= 010 I= 19 π. 6 −π sin π +y 2 10.0 points π /2 0 Consequently, Calculate the value of the double integral I= π + y + 2 cos(y ) 2 − 2 cos I=π . 2x sin(x + y ) dxdy A 011 when A is the rectangle (x, y ) : 0 ≤ x ≤ 1. I = (4 − π ) 2. I = 2π 3. I = −(4 − π ) 4. I = π correct π , 2 10.0 points Evaluate the integral 0≤y≤ π 2 . xexy dxdy I= A over the rectangle A = { (x, y ) : 0 ≤ x ≤ 3, 0 ≤ y ≤ 2 }. 1. I = 16 e −6 4 2. I = 16 e − 7 correct 2 . chester (crc2876) – HW13 – meth – (91845) 6 3. I = 16 e −6 2 2. I = 3 4. I = 16 e −5 4 3. I = 3 6 ln 6 − 5. I = 16 e −5 2 4. I = 3 19 36 ln 6 − 5 2 6. I = 16 e −7 4 5. I = 3 19 5 ln 6 − 36 4 Explanation: Since the integral with respect to y in A I= can be evaluated easily using substitution (or directly making the substitution in one’s head), while the integral with respect to x requires integration by parts, this suggests that we should represent the double integral as the repeated integral 3 2 I= 0 1 I= 10 0 0 e2x −x 2 3 0 , 6 6 (x...
View Full Document

This note was uploaded on 08/25/2013 for the course MATH 408M taught by Professor Kushner during the Summer '10 term at University of Texas.

Ask a homework question - tutors are online