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- Improper integral
- Double Integral
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- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of cosx
- Integral of (3-sin(x))/(2cos(x)+3tan(x))
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Integral of x^(-6)
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Integral of xe^(-5x)
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Identical expressions
- (x- one)/(x^ two +2x+ one)
- (x minus 1) divide by (x squared plus 2x plus 1)
- (x minus one) divide by (x to the power of two plus 2x plus one)
- (x-1)/(x2+2x+1)
- x-1/x2+2x+1
- (x-1)/(x²+2x+1)
- (x-1)/(x to the power of 2+2x+1)
- x-1/x^2+2x+1
- (x-1) divide by (x^2+2x+1)
- (x-1)/(x^2+2x+1)dx
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Similar expressions
- (x-1)/(x^2+2x-1)
- (x-1)/(x^2-2x+1)
- (x+1)/(x^2+2x+1)
Integral of (x-1)/(x^2+2x+1) dx
The solution
You have entered
[src]
1 / | | x - 1 | ------------ dx | 2 | x + 2*x + 1 | / 0
$$\int\limits_{0}^{1} \frac{x - 1}{\left(x^{2} + 2 x\right) + 1}\, dx$$
Integral((x - 1)/(x^2 + 2*x + 1), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | x - 1 2 | ------------ dx = C + ----- + log(1 + x) | 2 1 + x | x + 2*x + 1 | /
$$\int \frac{x - 1}{\left(x^{2} + 2 x\right) + 1}\, dx = C + \log{\left(x + 1 \right)} + \frac{2}{x + 1}$$
The graph
The answer
[src]
-1 + log(2)
$$-1 + \log{\left(2 \right)}$$
=
=
-1 + log(2)
$$-1 + \log{\left(2 \right)}$$
-1 + log(2)
The graph
Use the examples entering the upper and lower limits of integration.