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find the integration of log(cosx) and it`s limit 0 to π/4

find the integration of log(cosx) and it`s limit 0 to π/4

Grade:12

1 Answers

Phanindra
226 Points
4 years ago
Use by parts...
Take log(cosx) as first function and 1 as second function....
By parts formula is ∫f(x).g(x) = f(x).g'(x) - ∫f'(x).[∫g(x)dx]dx...
And 1st and 2nd function are taken using.  ILATE...
      I = inverse trigonometric function 
      L = logarithmic function 
     A = algebraic function 
     T =  trigonometric function 
     E = exponential function. ..
You will definitely get the  answer...
 

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