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- Improper integral
- Double Integral
- Triple Integral
- 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 1/(2+x^2)
- Integral of x/(x^3-3x+2)
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Integral of -x+4
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Integral of 8/x^2
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Identical expressions
- one /cos(one - two x)^2
- 1 divide by co sinus of e of (1 minus 2x) squared
- one divide by co sinus of e of (one minus two x) squared
- 1/cos(1-2x)2
- 1/cos1-2x2
- 1/cos(1-2x)²
- 1/cos(1-2x) to the power of 2
- 1/cos1-2x^2
- 1 divide by cos(1-2x)^2
- 1/cos(1-2x)^2dx
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Similar expressions
- 1/cos(1+2x)^2
Integral of 1/cos(1-2x)^2 dx
The solution
You have entered
[src]
1 / | | 1 | ------------- dx | 2 | cos (1 - 2*x) | / 0
$$\int\limits_{0}^{1} \frac{1}{\cos^{2}{\left(1 - 2 x \right)}}\, dx$$
Integral(1/(cos(1 - 2*x)^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 tan(-1/2 + x) | ------------- dx = C - ------------------- | 2 2 | cos (1 - 2*x) -1 + tan (-1/2 + x) | /
$$\int \frac{1}{\cos^{2}{\left(1 - 2 x \right)}}\, dx = C - \frac{\tan{\left(x - \frac{1}{2} \right)}}{\tan^{2}{\left(x - \frac{1}{2} \right)} - 1}$$
The graph
The answer
[src]
-2*tan(1/2)
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2
-1 + tan (1/2)
$$- \frac{2 \tan{\left(\frac{1}{2} \right)}}{-1 + \tan^{2}{\left(\frac{1}{2} \right)}}$$
=
=
-2*tan(1/2)
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2
-1 + tan (1/2)
$$- \frac{2 \tan{\left(\frac{1}{2} \right)}}{-1 + \tan^{2}{\left(\frac{1}{2} \right)}}$$
-2*tan(1/2)/(-1 + tan(1/2)^2)
Use the examples entering the upper and lower limits of integration.