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Denebel
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how do I integrate (3)/(x^2 + 9) dx using partial fractions? Thank you.
 2 years ago
 2 years ago
Denebel Group Title
how do I integrate (3)/(x^2 + 9) dx using partial fractions? Thank you.
 2 years ago
 2 years ago

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shaan_iitk Group TitleBest ResponseYou've already chosen the best response.0
you don't need partial fractions .. assume x = 3 tany .. then substitute .. you would get get 1/3 taninv(x/3) as your answer...
 2 years ago

shaan_iitk Group TitleBest ResponseYou've already chosen the best response.0
srry u wd get taninv(x/3) as answer..
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.0
what happens to the 1/3?
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.0
the coefficient?
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.0
..And how can you know to assume a tan. function?
 2 years ago

shaan_iitk Group TitleBest ResponseYou've already chosen the best response.0
you can assume the tan function because you change the coordinates. .. see integration is nothing but area under the curve .. when you integrate f(x) in x you find area under the curve for when f(x)is plotted in xy plane.. when i write x = tany I am calculating area for the same graph in a different plane .. value of my area would remain the same... I hope this helps
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.0
Kind of, can you elaborate some more?
 2 years ago

shaan_iitk Group TitleBest ResponseYou've already chosen the best response.0
check this website ... http://www.sosmath.com/calculus/integration/substitution/substitution.html
 2 years ago
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