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Solving integrals/ sqrt(cos^2x-sin^2x)

Integral of sqrt(cos^2x-sin^2x) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
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$$\int\limits_{0}^{1} \sqrt{- \sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}}\, dx$$ 
Integral(sqrt(cos(x)^2 - sin(x)^2), (x, 0, 1))
The answer [src] 
  1                          
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 |  \/  cos (x) - sin (x)  dx
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$$\int\limits_{0}^{1} \sqrt{- \sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}}\, dx$$ 
=
= 
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 |    /    2         2       
 |  \/  cos (x) - sin (x)  dx
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0
$$\int\limits_{0}^{1} \sqrt{- \sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}}\, dx$$ 
Integral(sqrt(cos(x)^2 - sin(x)^2), (x, 0, 1))
Numerical answer [src] 
(0.599026169068579 + 0.0932236959210244j)
(0.599026169068579 + 0.0932236959210244j)

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

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