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- Improper integral
- Double Integral
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How to use it?
- Integral of d{x}:
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Integral of x*2^(-x)
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Integral of x^5/(x^2+1)
- Integral of ln(ln(x))/x
- Integral of sin(w*t)^2
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Identical expressions
- ln(one -x^ four)
- ln(1 minus x to the power of 4)
- ln(one minus x to the power of four)
- ln(1-x4)
- ln1-x4
- ln(1-x⁴)
- ln1-x^4
- ln(1-x^4)dx
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Similar expressions
- ln(1+x^4)
Integral of ln(1-x^4) dx
The solution
You have entered
[src]
2 / | | / 4\ | log\1 - x / dx | / 0
$$\int\limits_{0}^{2} \log{\left(1 - x^{4} \right)}\, dx$$
Integral(log(1 - x^4), (x, 0, 2))
The answer (Indefinite)
[src]
/ | | / 4\ / 4\ | log\1 - x / dx = C - log(-1 + x) - 4*x + 2*atan(x) + x*log\1 - x / + log(1 + 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
The answer
[src]
-8 + 2*atan(2) + 2*log(15) + pi*I + log(3)
$$-8 + \log{\left(3 \right)} + 2 \operatorname{atan}{\left(2 \right)} + 2 \log{\left(15 \right)} + i \pi$$
=
=
-8 + 2*atan(2) + 2*log(15) + pi*I + log(3)
$$-8 + \log{\left(3 \right)} + 2 \operatorname{atan}{\left(2 \right)} + 2 \log{\left(15 \right)} + i \pi$$
-8 + 2*atan(2) + 2*log(15) + pi*i + log(3)
Use the examples entering the upper and lower limits of integration.