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

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

intsqrt(a^2+x^2) dx = (x)/(2)sqrt(a^2+x^2) + (a^2)/(2) log|x+sqrt(a^2+x^2)|+c

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

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

int frac {x+1}{x+2} dx =............ A) x+2 - log(x+2) + c B) sqrt (x^2 + 3x +2) -(1/2) log x + (3/2) + sqrt (x^2 + 3x +2) + c C) sqrt (x^2 + 3x +2) +(1/2) log x + (3/2) + sqrt (x^2 + 3x +2) + c D) sqrt (x^2 + 3x +2) -(1/2) log x + (3/2) - sqrt (x^2 + 3x +2) + c

intsqrt(x^2-a^2)dx=(x)/(2)sqrt(x^2-a^2)-(a^2)/(2) log |x+sqrt(x^2-a^2)|+c

Prove that int frac{1}{sqrt (x^2 - a^2)} dx = log (x+ sqrt (x^2 -a^2)) + c

int x(ln(x+sqrt(1+x^2))/sqrt(1+x^2)dx