Asked by Athene
How would you integrate x^2/x^2+9 ?
Answers
Answered by
MathMate
I assume you mean
∫x^2/(x^2+9) dx
which is:
=∫(x^2+9-9)/(x²+9) dx
=∫(1-9/(x²+2²) dx
=x - 3tan<sup>-1</sup>(x/3) + C
∫x^2/(x^2+9) dx
which is:
=∫(x^2+9-9)/(x²+9) dx
=∫(1-9/(x²+2²) dx
=x - 3tan<sup>-1</sup>(x/3) + C
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