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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 cos²(x)
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Integral of x^2/2
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Integral of ex
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Integral of 1/x^(1/2)
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Identical expressions
- sqrt(eighteen - eighteen *cos(x))
- square root of (18 minus 18 multiply by co sinus of e of (x))
- square root of (eighteen minus eighteen multiply by co sinus of e of (x))
- √(18-18*cos(x))
- sqrt(18-18cos(x))
- sqrt18-18cosx
- sqrt(18-18*cos(x))dx
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Similar expressions
- sqrt(18+18*cos(x))
- sqrt(18-18cos(x))*(3(x-sin(x)))
- sqrt(18-18*cosx)
Integral of sqrt(18-18*cos(x)) dx
The solution
You have entered
[src]
2*pi / | | ________________ | \/ 18 - 18*cos(x) dx | / 0
$$\int\limits_{0}^{2 \pi} \sqrt{18 - 18 \cos{\left(x \right)}}\, dx$$
Integral(sqrt(18 - 18*cos(x)), (x, 0, 2*pi))
Detail solution
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Rewrite the integrand:
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The integral of a constant times a function is the constant times the integral of the function:
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Don't know the steps in finding this integral.
But the integral is
So, the result is:
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Add the constant of integration:
The answer is:
The answer (Indefinite)
[src]
/ / | | | ________________ ___ | ____________ | \/ 18 - 18*cos(x) dx = C + 3*\/ 2 * | \/ 1 - cos(x) dx | | / /
$$\int \sqrt{18 - 18 \cos{\left(x \right)}}\, dx = C + 3 \sqrt{2} \int \sqrt{1 - \cos{\left(x \right)}}\, dx$$
The answer
[src]
2*pi
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___ | ____________
3*\/ 2 * | \/ 1 - cos(x) dx
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/
0
$$3 \sqrt{2} \int\limits_{0}^{2 \pi} \sqrt{1 - \cos{\left(x \right)}}\, dx$$
=
=
2*pi
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___ | ____________
3*\/ 2 * | \/ 1 - cos(x) dx
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/
0
$$3 \sqrt{2} \int\limits_{0}^{2 \pi} \sqrt{1 - \cos{\left(x \right)}}\, dx$$
Use the examples entering the upper and lower limits of integration.