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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sin(5x)
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Integral of -x+4
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Integral of √(9-x^2)
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Integral of (1+x^2)^0.5
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Identical expressions
- dx/(tg^2x+ one)
- dx divide by (tg squared x plus 1)
- dx divide by (tg squared x plus one)
- dx/(tg2x+1)
- dx/tg2x+1
- dx/(tg²x+1)
- dx/(tg to the power of 2x+1)
- dx/tg^2x+1
- dx divide by (tg^2x+1)
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Similar expressions
- dx/(tg^2x-1)
Integral of dx/(tg^2x+1) dx
The solution
You have entered
[src]
2 / | | 1 | 1*----------- dx | 2 | tan (x) + 1 | / 1
$$\int\limits_{1}^{2} 1 \cdot \frac{1}{\tan^{2}{\left(x \right)} + 1}\, dx$$
Integral(1/(tan(x)^2 + 1), (x, 1, 2))
The answer (Indefinite)
[src]
/ | 2 | 1 x tan(x) x*tan (x) | 1*----------- dx = C + ------------- + ------------- + ------------- | 2 2 2 2 | tan (x) + 1 2 + 2*tan (x) 2 + 2*tan (x) 2 + 2*tan (x) | /
$${{\tan x}\over{2\,\tan ^2x+2}}+{{x}\over{2}}$$
The graph
The answer
[src]
2 2
1 2 tan(2) tan (1) tan(1) 2*tan (2)
- ------------- + ------------- + ------------- - ------------- - ------------- + -------------
2 2 2 2 2 2
2 + 2*tan (1) 2 + 2*tan (2) 2 + 2*tan (2) 2 + 2*tan (1) 2 + 2*tan (1) 2 + 2*tan (2)
$${\it \%a}$$
=
=
2 2
1 2 tan(2) tan (1) tan(1) 2*tan (2)
- ------------- + ------------- + ------------- - ------------- - ------------- + -------------
2 2 2 2 2 2
2 + 2*tan (1) 2 + 2*tan (2) 2 + 2*tan (2) 2 + 2*tan (1) 2 + 2*tan (1) 2 + 2*tan (2)
$$- \frac{\tan^{2}{\left(1 \right)}}{2 + 2 \tan^{2}{\left(1 \right)}} - \frac{\tan{\left(1 \right)}}{2 + 2 \tan^{2}{\left(1 \right)}} + \frac{\tan{\left(2 \right)}}{2 + 2 \tan^{2}{\left(2 \right)}} - \frac{1}{2 + 2 \tan^{2}{\left(1 \right)}} + \frac{2}{2 + 2 \tan^{2}{\left(2 \right)}} + \frac{2 \tan^{2}{\left(2 \right)}}{2 + 2 \tan^{2}{\left(2 \right)}}$$
The graph
Use the examples entering the upper and lower limits of integration.