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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of cosx^2
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Integral of sinh(x)
- Integral of xcos(nx)
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Integral of arcsinx+arccosx
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Identical expressions
- -((two x+ one)/(two (x+ one)^2))
- minus ((2x plus 1) divide by (2(x plus 1) squared ))
- minus ((two x plus one) divide by (two (x plus one) squared ))
- -((2x+1)/(2(x+1)2))
- -2x+1/2x+12
- -((2x+1)/(2(x+1)²))
- -((2x+1)/(2(x+1) to the power of 2))
- -2x+1/2x+1^2
- -((2x+1) divide by (2(x+1)^2))
- -((2x+1)/(2(x+1)^2))dx
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Similar expressions
- -((2x+1)/(2(x-1)^2))
- ((2x+1)/(2(x+1)^2))
- -((2x-1)/(2(x+1)^2))
Integral of -((2x+1)/(2(x+1)^2)) dx
The solution
You have entered
[src]
1 / | | -(2*x + 1) | ----------- dx | 2 | 2*(x + 1) | / 0
$$\int\limits_{0}^{1} \left(- \frac{2 x + 1}{2 \left(x + 1\right)^{2}}\right)\, dx$$
Integral(-(2*x + 1)/(2*(x + 1)^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | -(2*x + 1) 1 | ----------- dx = C - log(1 + x) - --------- | 2 2*(1 + x) | 2*(x + 1) | /
$$\int \left(- \frac{2 x + 1}{2 \left(x + 1\right)^{2}}\right)\, dx = C - \log{\left(x + 1 \right)} - \frac{1}{2 \left(x + 1\right)}$$
The graph
The answer
[src]
1/4 - log(2)
$$\frac{1}{4} - \log{\left(2 \right)}$$
=
=
1/4 - log(2)
$$\frac{1}{4} - \log{\left(2 \right)}$$
1/4 - log(2)
Use the examples entering the upper and lower limits of integration.