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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(x+1)^3
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Integral of x^2*lnx
- Integral of 1/(x(1+x^2))
- Integral of tan^(-1)x
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Identical expressions
- one /(x^ two + two x+ two)^2
- 1 divide by (x squared plus 2x plus 2) squared
- one divide by (x to the power of two plus two x plus two) squared
- 1/(x2+2x+2)2
- 1/x2+2x+22
- 1/(x²+2x+2)²
- 1/(x to the power of 2+2x+2) to the power of 2
- 1/x^2+2x+2^2
- 1 divide by (x^2+2x+2)^2
- 1/(x^2+2x+2)^2dx
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Similar expressions
- 1/(x^2-2x+2)^2
- 1/(x^2+2x-2)^2
Integral of 1/(x^2+2x+2)^2 dx
The solution
You have entered
[src]
1 / | | 1 | 1*--------------- dx | 2 | / 2 \ | \x + 2*x + 2/ | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\left(x^{2} + 2 x + 2\right)^{2}}\, dx$$
Integral(1/(x^2 + 2*x + 2)^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 atan(1 + x) 1 + x | 1*--------------- dx = C + ----------- + -------------- | 2 2 2 | / 2 \ 4 + 2*x + 4*x | \x + 2*x + 2/ | /
$${{\arctan \left({{2\,x+2}\over{2}}\right)}\over{2}}+{{x+1}\over{2\,
x^2+4\,x+4}}$$
The graph
The answer
[src]
1 atan(2) pi - -- + ------- - -- 20 2 8
$${{5\,\arctan 2+2}\over{10}}-{{\pi+2}\over{8}}$$
=
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1 atan(2) pi - -- + ------- - -- 20 2 8
$$- \frac{\pi}{8} - \frac{1}{20} + \frac{\operatorname{atan}{\left(2 \right)}}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.