Asked by Bianca
Evaluate the integral: ç[(6x+7)/(x^(2)-8x+25),x]
Answers
Answered by
MathMate
for (6x+7)/(x^(2)-8x+25)
the denominator does not have rational factors, so complete squares to get into the form (x^2+a^2) and integrate using atan.
Hints:
1. x^2-8x+25=(x-4)^2+3^2
2. you will need to split the expression into partial fractions, one of which will integrate into atan, and the other into ln.
the denominator does not have rational factors, so complete squares to get into the form (x^2+a^2) and integrate using atan.
Hints:
1. x^2-8x+25=(x-4)^2+3^2
2. you will need to split the expression into partial fractions, one of which will integrate into atan, and the other into ln.
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