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

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7.6 Pages 418-419 # 1-19 odd, not 5 1. Use integration by parts. 5 5 55 5 5 1 5 11 52 5 x x xx x x ux v e du dx dv e x ed x x e x x ee C ex C −− == =− − − +  + +   ∫∫ 9. Use substitution (or integration by parts). 2 2 57 2 02 7 53 7 42 2 2 7 2 2 2 2 2 2( 2 ) ( ) 2 2 24 2 22 31 0 7 7 7 8 2 2 8 . 6 7 15 15 udu dx xu xx d x u uu d u d u =+ = += =  −= =   + 3. Use substitution. () 1 ln 2 ln 2 2 2 1 0 0 2 ln ln 2 ln 2 0.2402 2 x du dx dx u du x = = =≈ 11. Use symmetry; this is an odd function, so 2 2 2 cos sin 0 d x π = . Or use substitution. 0 0 3 2 0 0 cos sin cos sin cos sin 0 3 du xdx x xdx x x dx u ud u ππ = = = 7. Use partial fractions. 2 (4 ) (2 ) 68 1 ( 4)( 2) ( 4) ( 2) 1(2 )(4 ) 1 212 2 1 41 2 2 dx dx AB x x Ax Bx xb B xA A = ++ =+= + + =− ⇒ = = =− ⇒ =− 2 2 2 1 1 1 1 4 ( 2 ) ln 2 ln 4 ln ( 4 ) 14 1 0 ln ln ln 0.0527 26 9 dx x x + = +− += + 13. a. Use Formula 96. ( ) 96 3, 1 3 2 2 9231 135 F ab x xd x x x C + + +

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15. b. Use substitution and Formula 18.
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## This note was uploaded on 02/25/2010 for the course MATH 201 taught by Professor Kim during the Spring '07 term at SIU Carbondale.

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

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