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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}:
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Integral of x*e^(3*x)
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Integral of 2*x/(x^2+1)
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Integral of 3/x^2
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Integral of -5
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Identical expressions
- sqrt(one +(tg(x/ two))^ two)
- square root of (1 plus (tg(x divide by 2)) squared )
- square root of (one plus (tg(x divide by two)) to the power of two)
- √(1+(tg(x/2))^2)
- sqrt(1+(tg(x/2))2)
- sqrt1+tgx/22
- sqrt(1+(tg(x/2))²)
- sqrt(1+(tg(x/2)) to the power of 2)
- sqrt1+tgx/2^2
- sqrt(1+(tg(x divide by 2))^2)
- sqrt(1+(tg(x/2))^2)dx
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Similar expressions
- sqrt(1-(tg(x/2))^2)
Integral of sqrt(1+(tg(x/2))^2) dx
The solution
You have entered
[src]
pi -- 2 / | | _____________ | / 2/x\ | / 1 + tan |-| dx | \/ \2/ | / 0
$$\int\limits_{0}^{\frac{\pi}{2}} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 1}\, dx$$
Integral(sqrt(1 + tan(x/2)^2), (x, 0, pi/2))
The answer
[src]
pi -- 2 / | | _____________ | / 2/x\ | / 1 + tan |-| dx | \/ \2/ | / 0
$$\int\limits_{0}^{\frac{\pi}{2}} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 1}\, dx$$
=
=
pi -- 2 / | | _____________ | / 2/x\ | / 1 + tan |-| dx | \/ \2/ | / 0
$$\int\limits_{0}^{\frac{\pi}{2}} \sqrt{\tan^{2}{\left(\frac{x}{2} \right)} + 1}\, dx$$
Integral(sqrt(1 + tan(x/2)^2), (x, 0, pi/2))
Use the examples entering the upper and lower limits of integration.