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# hw76 - 7.6 Pages 418-419 1-19 odd not 5 1 Use integration...

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7.6 Pages 418-419 # 1-19 odd, not 5 1. Use integration by parts. 5 5 5 5 5 5 5 5 1 5 1 1 5 5 1 1 5 25 1 1 5 5 x x x x x x x x u x v e du dx dv e xe dx xe e dx xe e C e x C = = − = = = − = − + = − + + 9. Use substitution (or integration by parts). 2 2 5 7 2 0 2 7 5 3 7 4 2 2 2 7 5 3 2 2 2 2 2 2 ( 2)( )2 2 2 4 2 5 3 2 2 3 10 77 7 8 2 28.67 15 15 u x u x u du dx x u x x dx u u u du u u u u du u u = + = + = = + = = = = = + 3. Use substitution. ( ) 1 ln2 ln2 2 2 1 0 0 2 ln ln 2 ln 2 0.2402 2 x u x du dx x u dx u du x = = = = = 11. Use symmetry; this is an odd function, so 2 2 2 cos sin 0 x x dx π π = . Or use substitution. ( ) 2 2 2 2 2 2 0 0 3 2 0 0 cos sin cos sin cos sin 0 3 u x du xdx x x dx x x dx u u du π π π π = = − = − = − = = 7. Use partial fractions.

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hw76 - 7.6 Pages 418-419 1-19 odd not 5 1 Use integration...

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