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" 13."quad (i)log((x+sqrt(x^(2)-a^(2)))/...

" 13."quad (i)log((x+sqrt(x^(2)-a^(2)))/(x-sqrt(x^(2)-a^(2))))

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

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))

Differentiate the following w.r.t. x : log((x+sqrt(x^(2)-a^(2)))/(x-sqrt(x^(2)-a^(2))))

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

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

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

(log(x+sqrt(x^(2)+1)))/(x) is

Differentiate log((x+sqrt(x^(2)-1))/(x-sqrt(x^(2)-1)))

(d)/(dx ) { a log ((a+ sqrt(a ^(2)- x ^(2)))/(x)) - sqrt(a ^(2) - x ^(2)) }=