∫[x^3/(9+x^2)]dx答案是x^2/2-9/2*ln(x^2+9)+C

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∫[x^3/(9+x^2)]dx答案是x^2/2-9/2*ln(x^2+9)+C
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∫[x^3/(9+x^2)]dx答案是x^2/2-9/2*ln(x^2+9)+C
∫[x^3/(9+x^2)]dx
答案是x^2/2-9/2*ln(x^2+9)+C

∫[x^3/(9+x^2)]dx答案是x^2/2-9/2*ln(x^2+9)+C
∫[x^3/(9+x^2)]dx
=∫(1/2)[x^2/(9+x^2)]d(x^2)
=(1/2)∫[1-9/(9+x^2)]d(x^2)
=(1/2)∫d(x^2)-(9/2)∫1/(x^2+9)d(x^2+9)
=x^2/2-9/2*ln(x^2+9)+C

=∫(X^3+9X-9X)/(9+X^2)dx
=∫xdx-∫9x/(9+x^2)dx
=x^2/2-9/2ln(9+x^2)+C