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x^2arctgxdx
Solving integrals/ x^2arctgxdx

Integral of x^2arctgxdx dx

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The solution

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∫00x2acot⁡(x) dx\int\limits_{0}^{0} x^{2} \operatorname{acot}{\left(x \right)}\, dx 
Integral(x^2*acot(x), (x, 0, 0))
The answer (Indefinite) [src] 
  /                                                 
 |                        /     2\    2    3        
 |  2                  log\1 + x /   x    x *acot(x)
 | x *acot(x) dx = C - ----------- + -- + ----------
 |                          6        6        3     
/
∫x2acot⁡(x) dx=C+x3acot⁡(x)3+x26−log⁡(x2+1)6\int x^{2} \operatorname{acot}{\left(x \right)}\, dx = C + \frac{x^{3} \operatorname{acot}{\left(x \right)}}{3} + \frac{x^{2}}{6} - \frac{\log{\left(x^{2} + 1 \right)}}{6}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9001
Plot the graph f(x)
The answer [src] 
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Numerical answer [src] 
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The graph
Integral of x^2arctgxdx dx

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

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