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Unformatted text preview: 2 2. [10 points] (5.5: 79) It looks as if we can integrate 2 sin x cos x with respect to x in three diFerent ways: a. i 2 sin x cos x dx = i 2 u du = u 2 + C 1 = sin 2 x + C 1 , where u = sin x . b. i 2 sin x cos x dx = i2 u du =u 2 + C 2 =cos 2 x + C 2 , where u = cos x . c. i 2 sin x cos x dx = i sin 2 x dx =cos 2 x 2 + C 3 . Can all three integrations be correct? Explain. CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 2 — due 9/8 or 9/9 3 3. [10 points] (5.6: 106) Find the area of the region in the ±rst quadrant bounded on the left by the y –axis, below by the curve x = 2 √ y , above left by the curve x = ( y1) 2 , and above right by the line x = 3y . THIS IS THE LAST PAGE....
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