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br log(x+sqrt(x^(2)+a^(2)))...

br log(x+sqrt(x^(2)+a^(2)))

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Integrate : int x log(x+sqrt(x^(2)+a^(2)))dx

(d)/(dx)((x)/(2)sqrt(x^(2)+a^(2))+(a^(2))/(2)log(x+sqrt(x^(2)+a^(2)))) is

y=log[(x+sqrt(x^(2)+a^(2)))/(sqrt(x^(2)+a^(2))-x)]

If y=log((x+sqrt(x^(2)+a^(2)))/(-x+sqrt(x^(2)+a^(2))))"then "dy/dx=

int(1)/(sqrt(x^(2)-a^(2)))=log(x+sqrt(x^(2)-a^(2)))

y = log((sqrt(x^(2)+a^(2))+x)/(sqrt(x^(2)+a^(2))-x))

y = log((sqrt(x^(2)+a^(2))+x)/(sqrt(x^(2)+a^(2))-x))

int(1)/(sqrt(a^(2)+x^(2)))dx=log(x+sqrt(x^(2)+a^(2))+c

int(1)/(sqrt(x^(2)-a^(2)))=log(x+sqrt(x^(2)-a^(2))+c