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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 0dx
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Integral of x^(4/5)
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Integral of dr/r
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Integral of 1/sqrt(x^2-5)
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Identical expressions
- one /(one +chx)^ two
- 1 divide by (1 plus chx) squared
- one divide by (one plus chx) to the power of two
- 1/(1+chx)2
- 1/1+chx2
- 1/(1+chx)²
- 1/(1+chx) to the power of 2
- 1/1+chx^2
- 1 divide by (1+chx)^2
- 1/(1+chx)^2dx
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Similar expressions
- 1/(1-chx)^2
Integral of 1/(1+chx)^2 dx
The solution
You have entered
[src]
1 / | | 1 | -------------- dx | 2 | (1 + cosh(x)) | / 0
$$\int\limits_{0}^{1} \frac{1}{\left(\cosh{\left(x \right)} + 1\right)^{2}}\, dx$$
Integral(1/((1 + cosh(x))^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ /x\ 3/x\ | tanh|-| tanh |-| | 1 \2/ \2/ | -------------- dx = C + ------- - -------- | 2 2 6 | (1 + cosh(x)) | /
$$\int \frac{1}{\left(\cosh{\left(x \right)} + 1\right)^{2}}\, dx = C - \frac{\tanh^{3}{\left(\frac{x}{2} \right)}}{6} + \frac{\tanh{\left(\frac{x}{2} \right)}}{2}$$
The graph
The answer
[src]
3
tanh(1/2) tanh (1/2)
--------- - ----------
2 6
$$- \frac{\tanh^{3}{\left(\frac{1}{2} \right)}}{6} + \frac{\tanh{\left(\frac{1}{2} \right)}}{2}$$
=
=
3
tanh(1/2) tanh (1/2)
--------- - ----------
2 6
$$- \frac{\tanh^{3}{\left(\frac{1}{2} \right)}}{6} + \frac{\tanh{\left(\frac{1}{2} \right)}}{2}$$
tanh(1/2)/2 - tanh(1/2)^3/6
Use the examples entering the upper and lower limits of integration.