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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/
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Integral of dy/y^2
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Integral of x/x
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Integral of x/cos^2x
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Identical expressions
- ln((x^ two)+13x+ twenty-two)
- ln((x squared ) plus 13x plus 22)
- ln((x to the power of two) plus 13x plus twenty minus two)
- ln((x2)+13x+22)
- lnx2+13x+22
- ln((x²)+13x+22)
- ln((x to the power of 2)+13x+22)
- lnx^2+13x+22
- ln((x^2)+13x+22)dx
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Similar expressions
- ln((x^2)+13x-22)
- ln((x^2)-13x+22)
Integral of ln((x^2)+13x+22) dx
The solution
You have entered
[src]
2 / | | / 2 \ | log\x + 13*x + 22/ dx | / -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]
/ | | / 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/ | /
$$x\,\log \left(x^2+13\,x+22\right)+11\,\log \left(x+11\right)+2\,
\log \left(x+2\right)-2\,x$$
The graph
The answer
[src]
-6 - 10*log(10) + 2*log(4) + 2*log(52) + 11*log(13)
$${{17\,\log 52}\over{2}}+{{9\,\log 26}\over{2}}-{{9\,\log 20}\over{2
}}-{{11\,\log 10}\over{2}}-{{9\,\log 8}\over{2}}+{{9\,\log 2}\over{2
}}-6$$
=
=
-6 - 10*log(10) + 2*log(4) + 2*log(52) + 11*log(13)
$$- 10 \log{\left(10 \right)} - 6 + 2 \log{\left(4 \right)} + 2 \log{\left(52 \right)} + 11 \log{\left(13 \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.