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