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ln((x^2)+13x+22)

Integral of ln((x^2)+13x+22) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  2                       
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 |  log\x  + 13*x + 22/ dx
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-1                        
$$\int\limits_{-1}^{2} \log{\left(x^{2} + 13 x + 22 \right)}\, dx$$
Integral(log(x^2 + 13*x + 22), (x, -1, 2))
The answer (Indefinite) [src]
  /                                                                                        
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 |    / 2            \                                                     / 2            \
 | log\x  + 13*x + 22/ dx = C - 2*x + 2*log(2 + x) + 11*log(11 + x) + x*log\x  + 13*x + 22/
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$$x\,\log \left(x^2+13\,x+22\right)+11\,\log \left(x+11\right)+2\, \log \left(x+2\right)-2\,x$$
The graph
The answer [src]
-6 - 10*log(10) + 2*log(4) + 2*log(52) + 11*log(13)
$${{17\,\log 52}\over{2}}+{{9\,\log 26}\over{2}}-{{9\,\log 20}\over{2 }}-{{11\,\log 10}\over{2}}-{{9\,\log 8}\over{2}}+{{9\,\log 2}\over{2 }}-6$$
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-6 - 10*log(10) + 2*log(4) + 2*log(52) + 11*log(13)
$$- 10 \log{\left(10 \right)} - 6 + 2 \log{\left(4 \right)} + 2 \log{\left(52 \right)} + 11 \log{\left(13 \right)}$$
Numerical answer [src]
9.86366816153908
9.86366816153908
The graph
Integral of ln((x^2)+13x+22) dx

    Use the examples entering the upper and lower limits of integration.