anonymous
  • anonymous
can someone please show me how to find the integral of y^2/25+y^2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
do you mean y^2/(25+y^2)? or (y^2/25) + y^2?
anonymous
  • anonymous
the first one
anonymous
  • anonymous
ok, did you get past the long division at the beginning which gives you 1- (25/y^2+25)?

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anonymous
  • anonymous
why do i have to use long division
anonymous
  • anonymous
i would, you have same degree of y in numerator & denominator.
anonymous
  • anonymous
oh yes you are correct
anonymous
  • anonymous
long division gives 1 - (25/(y^2+25))...integral of 1 = y, integral of -25/(y^2+25) = -5arctan(y/5).....so the solution is y-5arctan(y/5)...
anonymous
  • anonymous
can you please explain how you got the integral of -25/(y^2+25)
anonymous
  • anonymous
25 * (1/(Y^2 + 5^2))--once you see the trig integrals enough, they just become easy to recognize.
anonymous
  • anonymous
integral of 1/(x^2 + a^2) = (1/a)arctan(x/a)
anonymous
  • anonymous
okay thank you

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