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How to use it?
- Integral of d{x}:
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Integral of (1-x^2)/(1+x^2)
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Integral of x^2/(x^2-4)
- Integral of sin(cosx)
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Integral of xsin(2x)dx
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Identical expressions
- arctanx^ three
- arc tangent of x cubed
- arc tangent of x to the power of three
- arctanx3
- arctanx³
- arctanx to the power of 3
- arctanx^3dx
Integral of arctanx^3 dx
The solution
You have entered
[src]
1 / | | 3 | atan (x) dx | / 0
$$\int\limits_{0}^{1} \operatorname{atan}^{3}{\left(x \right)}\, dx$$
Integral(atan(x)^3, (x, 0, 1))
The answer (Indefinite)
[src]
$${{32\,\left(3\,\int {{{x^2\,\arctan x\,\left(\log \left(x^2+1
\right)\right)^2}\over{32\,x^2+32}}}{\;dx}+3\,\int {{{\arctan x\,
\left(\log \left(x^2+1\right)\right)^2}\over{32\,x^2+32}}}{\;dx}+3\,
\int {{{x\,\left(\log \left(x^2+1\right)\right)^2}\over{32\,x^2+32}}
}{\;dx}+12\,\int {{{x^2\,\arctan x\,\log \left(x^2+1\right)}\over{32
\,x^2+32}}}{\;dx}+28\,\int {{{x^2\,\arctan ^3x}\over{32\,x^2+32}}
}{\;dx}-12\,\int {{{x\,\arctan ^2x}\over{32\,x^2+32}}}{\;dx}+{{7\,
\arctan ^4x}\over{32}}\right)-3\,x\,\arctan x\,\left(\log \left(x^2+
1\right)\right)^2+4\,x\,\arctan ^3x}\over{32}}$$
The answer
[src]
1 / | | 3 | atan (x) dx | / 0
$$\int_{0}^{1}{\arctan ^3x\;dx}$$
=
=
1 / | | 3 | atan (x) dx | / 0
$$\int\limits_{0}^{1} \operatorname{atan}^{3}{\left(x \right)}\, dx$$
Use the examples entering the upper and lower limits of integration.