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anonymous
 4 years ago
calculate the integral
1/(x^2+14x+48)
anonymous
 4 years ago
calculate the integral 1/(x^2+14x+48)

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TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.2factor, then use partial fractions

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.2\[\int\frac1{x^2+14x+48}dx=\int\frac1{(x+6)(x+8)}dx=\int\frac A{x+6}+\frac B{x+8}dx\]\[A(x+8)+B(x+6)=1\]\[x=6\to A=\frac12\]\[x=8\to B=\frac12\]\[\int\frac12\frac1{x+6}\frac12\frac1{x+8}dx=\frac12\lnx+6\frac12\lnx+8+C\]
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