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How to use it?
- Integral of d{x}:
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Integral of 1/sqrt(1+u^2)
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Integral of (2x+3)
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Integral of 1-7*x^2
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Integral of (x+1)dx
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Identical expressions
- xlnx/(one +x^ two)^ three
- xlnx divide by (1 plus x squared ) cubed
- xlnx divide by (one plus x to the power of two) to the power of three
- xlnx/(1+x2)3
- xlnx/1+x23
- xlnx/(1+x²)³
- xlnx/(1+x to the power of 2) to the power of 3
- xlnx/1+x^2^3
- xlnx divide by (1+x^2)^3
- xlnx/(1+x^2)^3dx
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Similar expressions
- xlnx/(1-x^2)^3
Integral of xlnx/(1+x^2)^3 dx
The solution
You have entered
[src]
1 / | | x*log(x) | --------- dx | 3 | / 2\ | \1 + x / | / 0
$$\int\limits_{0}^{1} \frac{x \log{\left(x \right)}}{\left(x^{2} + 1\right)^{3}}\, dx$$
Integral((x*log(x))/(1 + x^2)^3, (x, 0, 1))
The graph
The answer
[src]
1 log(2) - -- - ------ 16 8
$$- \frac{\log{\left(2 \right)}}{8} - \frac{1}{16}$$
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1 log(2) - -- - ------ 16 8
$$- \frac{\log{\left(2 \right)}}{8} - \frac{1}{16}$$
-1/16 - log(2)/8
The graph
Use the examples entering the upper and lower limits of integration.