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- Improper integral
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How to use it?
- Integral of d{x}:
- Integral of 1/(sqrt(x)+cbrt(x))
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Integral of arctan(2x)
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Integral of x^2-5x+6
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Integral of tanx/(2secx+1)
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Identical expressions
- tanx/(2secx+ one)
- tangent of x divide by (2secx plus 1)
- tangent of x divide by (2secx plus one)
- tanx/2secx+1
- tanx divide by (2secx+1)
- tanx/(2secx+1)dx
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Similar expressions
- tanx/(2secx-1)
Integral of tanx/(2secx+1) dx
The solution
You have entered
[src]
1 / | | tan(x) | ------------ dx | 2*sec(x) + 1 | / 0
$$\int\limits_{0}^{1} \frac{\tan{\left(x \right)}}{2 \sec{\left(x \right)} + 1}\, dx$$
The answer (Indefinite)
[src]
/ | / 2 \ | tan(x) log\1 + tan (x)/ | ------------ dx = C + ---------------- - log(1 + 2*sec(x)) | 2*sec(x) + 1 2 | /
$$-\log \left(\cos x+2\right)$$
The graph
The answer
[src]
/ 2 \
log\1 + tan (1)/
---------------- - log(1 + 2*sec(1)) + log(3)
2
$$\log 3-\log \left(\cos 1+2\right)$$
=
=
/ 2 \
log\1 + tan (1)/
---------------- - log(1 + 2*sec(1)) + log(3)
2
$$- \log{\left(1 + 2 \sec{\left(1 \right)} \right)} + \frac{\log{\left(1 + \tan^{2}{\left(1 \right)} \right)}}{2} + \log{\left(3 \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.