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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x^(4/5)
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Integral of (x^2)sinx
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Integral of (x^3-17)/(x^2-4x+3)
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Integral of sin(x²)
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Identical expressions
- one /(ch(x)(ch(x)+ one))
- 1 divide by (ch(x)(ch(x) plus 1))
- one divide by (ch(x)(ch(x) plus one))
- 1/chxchx+1
- 1 divide by (ch(x)(ch(x)+1))
- 1/(ch(x)(ch(x)+1))dx
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Similar expressions
- 1/(ch(x)(ch(x)-1))
Integral of 1/(ch(x)(ch(x)+1)) dx
The solution
You have entered
[src]
1 / | | 1 | --------------------- dx | cosh(x)*(cosh(x) + 1) | / 0
$$\int\limits_{0}^{1} \frac{1}{\left(\cosh{\left(x \right)} + 1\right) \cosh{\left(x \right)}}\, dx$$
Integral(1/(cosh(x)*(cosh(x) + 1)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 /x\ / /x\\ | --------------------- dx = C - tanh|-| + 2*atan|tanh|-|| | cosh(x)*(cosh(x) + 1) \2/ \ \2// | /
$$\int \frac{1}{\left(\cosh{\left(x \right)} + 1\right) \cosh{\left(x \right)}}\, dx = C - \tanh{\left(\frac{x}{2} \right)} + 2 \operatorname{atan}{\left(\tanh{\left(\frac{x}{2} \right)} \right)}$$
The graph
The answer
[src]
-tanh(1/2) + 2*atan(tanh(1/2))
$$- \tanh{\left(\frac{1}{2} \right)} + 2 \operatorname{atan}{\left(\tanh{\left(\frac{1}{2} \right)} \right)}$$
=
=
-tanh(1/2) + 2*atan(tanh(1/2))
$$- \tanh{\left(\frac{1}{2} \right)} + 2 \operatorname{atan}{\left(\tanh{\left(\frac{1}{2} \right)} \right)}$$
-tanh(1/2) + 2*atan(tanh(1/2))
Use the examples entering the upper and lower limits of integration.