anonymous
  • anonymous
compute the integral: (8x^2+6)/(x^2+1)(x+7)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
It is basically \[\int\limits_{}^{} 8x ^{2}+6 - \int\limits_{}^{}x ^{3}+7x ^{2}+x+7\]
anonymous
  • anonymous
thank you so much
anonymous
  • anonymous
i also have another question :( compute the indefinite integral: dx/(x^2+4)^(5/2)

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anonymous
  • anonymous
i am sorry, I was thinking of logarithms. Please ignore my previous answer. My integration is rusty. i'll get back to you with the correct answer.
anonymous
  • anonymous
okay
anonymous
  • anonymous
the original question is; compute the integral:\[\int\limits_0{}^{1} (8x^2+6) / (x^2+1)(x+7) dx \]
anonymous
  • anonymous
do you know integration by partial fractions? Understanding of that is essential to this problem http://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/partialfracdirectory/PartialFrac.html scroll down till you see how the partial fractions are done
anonymous
  • anonymous
thanks !
anonymous
  • anonymous
This is how to solve your problem. The numerator in this example is also a quadratic equation and the denominator is a cubic equation: http://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/partialfracsoldirectory/PartialFracSol2.html#SOLUTION%209
anonymous
  • anonymous
got it:)
anonymous
  • anonymous
http://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/partialfracsoldirectory/PartialFracSol.html#SOLUTION%206 this too might help!
anonymous
  • anonymous
http://openstudy.com/updates/4d948f880ffe8b0bcdc9a720 can you help me with that problem ? :(

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