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Integral of sqrt(1+cosx) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src]
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 |  \/ 1 + cos(x)  dx
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$$\int\limits_{0}^{1} \sqrt{\cos{\left(x \right)} + 1}\, dx$$
Integral(sqrt(1 + cos(x)), (x, 0, 1))
The answer [src]
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 2*\/ 2 *tan(1/2) 
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  /        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)
Numerical answer [src]
1.35602019768418
1.35602019768418

    Use the examples entering the upper and lower limits of integration.