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Integral of ln(1-x^4) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
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 |  log\1 - x / dx
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02log(1x4)dx\int\limits_{0}^{2} \log{\left(1 - x^{4} \right)}\, dx
Integral(log(1 - x^4), (x, 0, 2))
The answer (Indefinite) [src]
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 | log\1 - x / dx = C - log(-1 + x) - 4*x + 2*atan(x) + x*log\1 - x / + log(1 + x)
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log(1x4)dx=C+xlog(1x4)4xlog(x1)+log(x+1)+2atan(x)\int \log{\left(1 - x^{4} \right)}\, dx = C + x \log{\left(1 - x^{4} \right)} - 4 x - \log{\left(x - 1 \right)} + \log{\left(x + 1 \right)} + 2 \operatorname{atan}{\left(x \right)}
The graph
0.000.100.200.300.400.500.600.700.800.901.00-1010
The answer [src]
-8 + 2*atan(2) + 2*log(15) + pi*I + log(3)
8+log(3)+2atan(2)+2log(15)+iπ-8 + \log{\left(3 \right)} + 2 \operatorname{atan}{\left(2 \right)} + 2 \log{\left(15 \right)} + i \pi
=
=
-8 + 2*atan(2) + 2*log(15) + pi*I + log(3)
8+log(3)+2atan(2)+2log(15)+iπ-8 + \log{\left(3 \right)} + 2 \operatorname{atan}{\left(2 \right)} + 2 \log{\left(15 \right)} + i \pi
-8 + 2*atan(2) + 2*log(15) + pi*i + log(3)
Numerical answer [src]
(-inf + 3.10303951139804j)
(-inf + 3.10303951139804j)

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