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Homework 1

# Homework 1 - Name Section MAC 2312 Homework 1 Due SHOW ALL...

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Name: Section: MAC 2312 Homework 1 Due January 31, 2012 SHOW ALL OF YOUR WORK L1-L2: Integration by Parts 1. Evaluate the indefinite integral integraldisplay x 5 ln xdx. 1

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2. Evaluate the definite integral integraldisplay 2 1 (ln x ) 2 x 3 dx. 2
3. Evaluate the indefinite integral integraldisplay x 3 4 + x 2 dx. 3

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4. Evaluate the indefinite integral integraldisplay sin(ln x ) dx. 4
5. Evaluate the definite integral integraldisplay π 0 e cos x sin(2 x ) dx. 5

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L3-L4: Trigonometric Integration 6. Evaluate the indefinite integral integraldisplay sin 3 x cos 2 xdx. 6
7. Evaluate the definite integral integraldisplay π 0 sin 2 x cos 4 xdx. 7

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8. Evaluate the definite integral integraldisplay π/ 4 0 sec 4 parenleftBig x 2 parenrightBig dx. 8
9. Evaluate the indefinite integral integraldisplay cos x + sin x sin(2 x ) dx. 9

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10. Evaluate the indefinite integral integraldisplay sec 4 x tan 4 xdx. 10
L5-L6: Trigonometric Substitution 11. Evaluate the indefinite integral integraldisplay 1 + x 2 x dx. 11

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12. Evaluate the indefinite integral

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Homework 1 - Name Section MAC 2312 Homework 1 Due SHOW ALL...

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