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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of -4*x*exp(-2*x)
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Integral of √(1+x²)
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Integral of 1/cos^2(x)
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Integral of a
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Identical expressions
- arctg(two x)/(pi^ two (4x^2+ one))
- arctg(2x) divide by ( Pi squared (4x squared plus 1))
- arctg(two x) divide by ( Pi to the power of two (4x squared plus one))
- arctg(2x)/(pi2(4x2+1))
- arctg2x/pi24x2+1
- arctg(2x)/(pi²(4x²+1))
- arctg(2x)/(pi to the power of 2(4x to the power of 2+1))
- arctg2x/pi^24x^2+1
- arctg(2x) divide by (pi^2(4x^2+1))
- arctg(2x)/(pi^2(4x^2+1))dx
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Similar expressions
- arctg(2x)/(pi^2(4x^2-1))
Integral of arctg(2x)/(pi^2(4x^2+1)) dx
The solution
You have entered
[src]
oo / | | atan(2*x) | -------------- dx | 2 / 2 \ | pi *\4*x + 1/ | / 1/2
$$\int\limits_{\frac{1}{2}}^{\infty} \frac{\operatorname{atan}{\left(2 x \right)}}{\pi^{2} \left(4 x^{2} + 1\right)}\, dx$$
Integral(atan(2*x)/((pi^2*(4*x^2 + 1))), (x, 1/2, oo))
The answer (Indefinite)
[src]
/ | 2 | atan(2*x) atan (2*x) | -------------- dx = C + ---------- | 2 / 2 \ 2 | pi *\4*x + 1/ 4*pi | /
$$\int \frac{\operatorname{atan}{\left(2 x \right)}}{\pi^{2} \left(4 x^{2} + 1\right)}\, dx = C + \frac{\operatorname{atan}^{2}{\left(2 x \right)}}{4 \pi^{2}}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.