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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 cos^2x
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Integral of (cos(x))^2
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Integral of 8x
- Integral of sqrt(1+cosx)
- Graphing y =:
- sqrt(1+cosx)
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Identical expressions
- sqrt(one +cosx)
- square root of (1 plus co sinus of e of x)
- square root of (one plus co sinus of e of x)
- √(1+cosx)
- sqrt1+cosx
- sqrt(1+cosx)dx
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Similar expressions
- sqrt(1-cosx)
- sqrt(1+(cosx)^2)sinx
- sin(x)/(sqrt(1+cos(x)^2))
- 2pi*sinx*sqrt(1+(cosx)^2)
- sin(x)*sqrt(1+cos(x)^2)
- absolute(sin(x))*sqrt(1+cos(x)^2)
Integral of sqrt(1+cosx) dx
The solution
You have entered
[src]
1 / | | ____________ | \/ 1 + cos(x) dx | / 0
$$\int\limits_{0}^{1} \sqrt{\cos{\left(x \right)} + 1}\, dx$$
Integral(sqrt(1 + cos(x)), (x, 0, 1))
The answer
[src]
___ 2*\/ 2 *tan(1/2) ------------------ _______________ / 2 \/ 1 + tan (1/2)
$$\frac{2 \sqrt{2} \tan{\left(\frac{1}{2} \right)}}{\sqrt{\tan^{2}{\left(\frac{1}{2} \right)} + 1}}$$
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___ 2*\/ 2 *tan(1/2) ------------------ _______________ / 2 \/ 1 + tan (1/2)
$$\frac{2 \sqrt{2} \tan{\left(\frac{1}{2} \right)}}{\sqrt{\tan^{2}{\left(\frac{1}{2} \right)} + 1}}$$
2*sqrt(2)*tan(1/2)/sqrt(1 + tan(1/2)^2)
Use the examples entering the upper and lower limits of integration.