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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of ln(x^2)
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Integral of 1/(x^2+3x+2)
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Integral of exp(4*x)
- Integral of cos(2*x)
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Identical expressions
- sqrt((one -cos(two *x)/ two))
- square root of ((1 minus co sinus of e of (2 multiply by x) divide by 2))
- square root of ((one minus co sinus of e of (two multiply by x) divide by two))
- √((1-cos(2*x)/2))
- sqrt((1-cos(2x)/2))
- sqrt1-cos2x/2
- sqrt((1-cos(2*x) divide by 2))
- sqrt((1-cos(2*x)/2))dx
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Similar expressions
- sqrt((1+cos(2*x)/2))
- sqrt((1-cos(2x))/2)
Integral of sqrt((1-cos(2*x)/2)) dx
The solution
You have entered
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pi -- 2 / | | ______________ | / cos(2*x) | / 1 - -------- dx | \/ 2 | / 0
$$\int\limits_{0}^{\frac{\pi}{2}} \sqrt{- \frac{\cos{\left(2 x \right)}}{2} + 1}\, dx$$
Integral(sqrt(1 - cos(2*x)/2), (x, 0, pi/2))
The answer (Indefinite)
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/
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/ ___ | ______________
| \/ 2 * | \/ 2 - cos(2*x) dx
| ______________ |
| / cos(2*x) /
| / 1 - -------- dx = C + ----------------------------
| \/ 2 2
|
/
$$\int \sqrt{- \frac{\cos{\left(2 x \right)}}{2} + 1}\, dx = C + \frac{\sqrt{2} \int \sqrt{2 - \cos{\left(2 x \right)}}\, dx}{2}$$
Use the examples entering the upper and lower limits of integration.