- #1
the7joker7
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Homework Statement
Evaluate the indefinite integral.
int (6 x + 7)/(x^2 + 1) dx `
The Attempt at a Solution
A/(x + 1) + B/(x - 1)
6x + 7 = A(x - 1) + B(x + 1)
6x + 7 = (A + B)x + (-A + B)
A + B = 6
-A + B = 7
A + (7 + A) = 6
2A = -1.
A = -.5
B = 3.5
So the answer should be...
-.5ln(x + 1) + 3.5ln(x - 1) + C
Is this correct?