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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*ln(x)
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Integral of x*exp(-x)
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Integral of e^(2x)*cosx
- Integral of arctg^2(x)
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Identical expressions
- sec^ two x/(2+tg^2x)
- sec squared x divide by (2 plus tg squared x)
- sec to the power of two x divide by (2 plus tg squared x)
- sec2x/(2+tg2x)
- sec2x/2+tg2x
- sec²x/(2+tg²x)
- sec to the power of 2x/(2+tg to the power of 2x)
- sec^2x/2+tg^2x
- sec^2x divide by (2+tg^2x)
- sec^2x/(2+tg^2x)dx
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Similar expressions
- sec^2x/(2-tg^2x)
Integral of sec^2x/(2+tg^2x) dx
The solution
You have entered
[src]
2*pi / | | 2 | sec (x) | ----------- dx | 2 | 2 + tan (x) | / 0
$$\int\limits_{0}^{2 \pi} \frac{\sec^{2}{\left(x \right)}}{\tan^{2}{\left(x \right)} + 2}\, dx$$
Integral(sec(x)^2/(2 + tan(x)^2), (x, 0, 2*pi))
The answer (Indefinite)
[src]
/ / | | | 2 | 2 | sec (x) | sec (x) | ----------- dx = C + | ----------- dx | 2 | 2 | 2 + tan (x) | 2 + tan (x) | | / /
$$\int \frac{\sec^{2}{\left(x \right)}}{\tan^{2}{\left(x \right)} + 2}\, dx = C + \int \frac{\sec^{2}{\left(x \right)}}{\tan^{2}{\left(x \right)} + 2}\, dx$$
The answer
[src]
2*pi / | | 2 | sec (x) | ----------- dx | 2 | 2 + tan (x) | / 0
$$\int\limits_{0}^{2 \pi} \frac{\sec^{2}{\left(x \right)}}{\tan^{2}{\left(x \right)} + 2}\, dx$$
=
=
2*pi / | | 2 | sec (x) | ----------- dx | 2 | 2 + tan (x) | / 0
$$\int\limits_{0}^{2 \pi} \frac{\sec^{2}{\left(x \right)}}{\tan^{2}{\left(x \right)} + 2}\, dx$$
Integral(sec(x)^2/(2 + tan(x)^2), (x, 0, 2*pi))
Use the examples entering the upper and lower limits of integration.