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Solving integrals/ ln(cosx)

Integral of ln(cosx) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1               
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 |  log(cos(x)) dx
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0
∫01log⁡(cos⁡(x)) dx\int\limits_{0}^{1} \log{\left(\cos{\left(x \right)} \right)}\, dx 
Integral(log(cos(x)), (x, 0, 1))
The answer (Indefinite) [src] 
                                          /           
  /                                      |            
 |                                       | x*sin(x)   
 | log(cos(x)) dx = C + x*log(cos(x)) +  | -------- dx
 |                                       |  cos(x)    
/                                        |            
                                        /
∫log⁡(cos⁡(x)) dx=C+xlog⁡(cos⁡(x))+∫xsin⁡(x)cos⁡(x) dx\int \log{\left(\cos{\left(x \right)} \right)}\, dx = C + x \log{\left(\cos{\left(x \right)} \right)} + \int \frac{x \sin{\left(x \right)}}{\cos{\left(x \right)}}\, dx
Simplify
Numerical answer [src] 
-0.187538169020838
-0.187538169020838

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

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