prob4intrational

prob4intrational - 1 Z 1 16 x 2 − 96 x 153 dx 2 Z 2 x −...

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Math151Spr ing2008Gevec i Problem Set # 4 Integration of Rational Functions Starred Problems are due on Friday, February 15 In problems 1 and 2 determine the required antiderivative. 1* . Z 1 4 x 2 +8 x +5 dx 2. Z x x 2 +2 x +5 dx In problems 3-10 a) compute the partial fraction decomposition of the integrand, b) compute the required antiderivative: 3*. Z 3 x +16 x 2 + x 12 dx 4 . Z x +7 ( x 2) ( x 5) dx 5. Z 2 x 3 5 x 2 24 x +13 x 2 x 12 dx 6*. Z x 3 + x 2 2 x +3 x 2 + x 2 dx 7*. Z x 1 x 2 +4 dx 8. Z x 5 ( x 2) 2 dx 9*. Z 2 x 2 +7 x +13 ( x 1) ( x +2) 2 dx 10*. Z 4 x 2 +3 x +5 ( x +2)( x 2 +1) dx In problems 11 and 12, a) compute the partial fraction decomposition of the integrand, b) compute the required antiderivative, c) compute the given integral: 11*. Z 6 ( x +4)( x 2) dx ; Z 1 3 6 ( x +4)( x 2) dx 12*. Z 1 x 2 +6 x +13 dx ; Z 1 3 1 x 2 +6 x +13 dx
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Unformatted text preview: 1 . Z 1 16 x 2 − 96 x + 153 dx 2. Z 2 x − 1 x 2 − 8 x + 17 dx In problems 3-7 a) compute the partial fraction decomposition of the integrand, b) compute the required antiderivative: 3. Z x + 5 x 2 + 5 x + 6 dx 4 . Z x − 17 x 2 − 6 x + 5 dx 5. Z 3 x 3 + 7 x 2 − 31 x − 50 x 2 + x − 12 dx 6. Z x − 4 4 x 2 + 1 dx 7. Z 6 x 2 + 29 x + 43 ( x − 2) ( x + 3) 2 dx In problems 8 and 9, a) compute the partial fraction decomposition of the integrand, b) compute the required antiderivative, c) compute the given integral: 8. Z x − 5 x 2 − 4 x + 3 dx ; Z − 1 − 4 x − 5 x 2 − 4 x + 3 dx 9 Z 1 x 2 − 4 x + 20 dx ; Z 2 − 2 1 x 2 − 4 x + 20 dx 2...
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prob4intrational - 1 Z 1 16 x 2 − 96 x 153 dx 2 Z 2 x −...

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