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anonymous
 5 years ago
can someone please show me how to find the integral of y^2/25+y^2
anonymous
 5 years ago
can someone please show me how to find the integral of y^2/25+y^2

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do you mean y^2/(25+y^2)? or (y^2/25) + y^2?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, did you get past the long division at the beginning which gives you 1 (25/y^2+25)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0why do i have to use long division

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i would, you have same degree of y in numerator & denominator.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh yes you are correct

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0long division gives 1  (25/(y^2+25))...integral of 1 = y, integral of 25/(y^2+25) = 5arctan(y/5).....so the solution is y5arctan(y/5)...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can you please explain how you got the integral of 25/(y^2+25)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.025 * (1/(Y^2 + 5^2))once you see the trig integrals enough, they just become easy to recognize.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0integral of 1/(x^2 + a^2) = (1/a)arctan(x/a)
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