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

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

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

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

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

shaan_iitk
 3 years ago
Best ResponseYou've already chosen the best response.0you 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

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

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