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mathematics44
 2 years ago
Integrate (x+3)/(x7)^2 using partial integration method?
mathematics44
 2 years ago
Integrate (x+3)/(x7)^2 using partial integration method?

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.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{3+x}{(x7)^2}=\frac{A}{x7}+\frac{B}{(x7)^2}\]

mathematics44
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah, it was partial fractions. My bad. lol

mathematics44
 2 years ago
Best ResponseYou've already chosen the best response.0I knew how to do it up until this point but if you plug in 7, it gives you A(0) + B(0) = 10, so how do I find out the values of A and B separately?

SithsAndGiggles
 2 years ago
Best ResponseYou've already chosen the best response.0Try values other than 7. Like x = 1 and 0, for convenience. This should give you a system of two equations with the unknowns, A and B.

mathematics44
 2 years ago
Best ResponseYou've already chosen the best response.0I tried 6 and 8 and answer that I got is A=10 , B= 1. I hope that's correct

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.1\[x+3=B+A (x7)\] When x=7 B=10 When B has this value, when x=0, 0+3=107A A=1 \[\frac{x+3}{(x7)^2}=\frac{1}{x7}+\frac{10}{(x7)^2}\]

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.1Can you do it now? \[\int\limits \left(\frac{10}{(x7)^2}+\frac{1}{x7}\right) \, dx\]

mathematics44
 2 years ago
Best ResponseYou've already chosen the best response.0yes. thank you for your help
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