Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
- Integral of 1/sin(x)
- Integral of 8/x
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Integral of sinx*e^x
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Integral of 18x^2
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Identical expressions
- one /cosh(x)^ two
- 1 divide by hyperbolic co sinus of e of ine of (x) squared
- one divide by hyperbolic co sinus of e of ine of (x) to the power of two
- 1/cosh(x)2
- 1/coshx2
- 1/cosh(x)²
- 1/cosh(x) to the power of 2
- 1/coshx^2
- 1 divide by cosh(x)^2
- 1/cosh(x)^2dx
Integral of 1/cosh(x)^2 dx
The solution
You have entered
[src]
1 / | | 1 | 1*-------- dx | 2 | cosh (x) | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\cosh^{2}{\left(x \right)}}\, dx$$
The answer (Indefinite)
[src]
/ /x\ | 2*tanh|-| | 1 \2/ | 1*-------- dx = C + ------------ | 2 2/x\ | cosh (x) 1 + tanh |-| | \2/ /
$${{4}\over{2\,e^ {- 2\,x }+2}}$$
The graph
The answer
[src]
2*tanh(1/2)
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2
1 + tanh (1/2)
$${{2\,e^2}\over{e^2+1}}-1$$
=
=
2*tanh(1/2)
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2
1 + tanh (1/2)
$$\frac{2 \tanh{\left(\frac{1}{2} \right)}}{\tanh^{2}{\left(\frac{1}{2} \right)} + 1}$$
The graph
Use the examples entering the upper and lower limits of integration.