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integrate ∫log[x+ ​sq root(x^2+1)]/sq root(1-x^2) dx

integrate
  •  ∫log[x+​sq root(x^2+1)]/sq root(1-x^2) dx
 

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Grade:12

1 Answers

Aditya Gupta
2080 Points
2 years ago
we know that ln(a/b)=lna-lnb
so separate and write ln(x+root(1+x^2)) – 1/2*ln(1-x^2)
now both of these integrals can be solved by using integration by parts and letting the second function as 1 and first function as the logarithmic one. after that the integrals turn into standard forms.

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