Mister Exam
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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}:
- Integral of sqrt((1+cot^(2)x))
- Integral of dx/(3cosx-4sinx+5)
- Integral of x^3/sqrt(a^2-x^2)
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Integral of cosx²
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Identical expressions
- sqrt((one +cot^(two)x))
- square root of ((1 plus cotangent of to the power of (2)x))
- square root of ((one plus cotangent of to the power of (two)x))
- √((1+cot^(2)x))
- sqrt((1+cot(2)x))
- sqrt1+cot2x
- sqrt1+cot^2x
- sqrt((1+cot^(2)x))dx
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Similar expressions
- sqrt((1-cot^(2)x))
Integral of sqrt((1+cot^(2)x)) dx
The solution
You have entered
[src]
pi -- 2 / | | _____________ | / 2 | \/ 1 + cot (x) dx | / pi -- 6
$$\int\limits_{\frac{\pi}{6}}^{\frac{\pi}{2}} \sqrt{\cot^{2}{\left(x \right)} + 1}\, dx$$
Integral(sqrt(1 + cot(x)^2), (x, pi/6, pi/2))
The answer (Indefinite)
[src]
$$-{{\log \left(\sin ^2x+\cos ^2x+2\,\cos x+1\right)-\log \left(\sin
^2x+\cos ^2x-2\,\cos x+1\right)}\over{2}}$$
The answer
[src]
pi -- 2 / | | _____________ | / 2 | \/ 1 + cot (x) dx | / pi -- 6
$$\int\limits_{\frac{\pi}{6}}^{\frac{\pi}{2}} \sqrt{\cot^{2}{\left(x \right)} + 1}\, dx$$
=
=
pi -- 2 / | | _____________ | / 2 | \/ 1 + cot (x) dx | / pi -- 6
$$\int\limits_{\frac{\pi}{6}}^{\frac{\pi}{2}} \sqrt{\cot^{2}{\left(x \right)} + 1}\, dx$$
Use the examples entering the upper and lower limits of integration.