Find the integral `int(1)/(sqrt(a^(2)+b^(2)x^(2)))dx],[" A."(1)/(b)log bx+sqrt(a^(2)+b^(2)x^(2))|+Cquad " B."(1)/(b)log bx-sqrt(a^(2)+b^(2)x^(2))|+C],[" C."(1)/(a)log bx+sqrt(a^(2)+b^(2)x^(2))|+Cquad " D."(1)/(a)log bx-sqrt(a^(2)+b^(2)x^(2))|+C]`

Find the integral int(1)/(sqrt((1-x)(2-x)))dx A. log(2x-3)+sqrt((2x-3)^(2)-1)+Cquad B. log(2x-3)-sqrt((2x-3)^(2)+1)+C C. log(2x+3)-sqrt((2x+3)^(2)-1)+Cquad D. log(2x+3)+sqrt((2x+3)^(2)+1)+C

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

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

Find the integral int(1)/(5-8x-x^(2))dx A. (1)/(2sqrt(21))log|(sqrt(21)+(x+4))/(sqrt(21)-(x+4))|+C .B. (1)/(2sqrt(21))log|(sqrt(21)-(x+4))/(sqrt(21)+(x+4))|+C C. (1)/(sqrt(21))log|((x+4)+sqrt(21))/((x+4)-sqrt(21))|+Cquad D. (1)/(sqrt(21))log|((x+4)-sqrt(21))/((x+4)+sqrt(21))|+C

int(1)/(a^(2)-b^(2)cos^(2)x)dx(a>b)=(1)/(a sqrt(a^(2)-b^(2)))tan^(-1)[(a tan x)/(sqrt(a^(2)-b^(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

Find the integral int(1)/(4x^(2)+12x+5)dx A. (1)/(4)log|(2x+1)/(2x-5)|+C B. (1)/(8)log|(1+2x)/(5-2x)|+C C. (1)/(8)log|(2x-1)/(2x+5)|+C D. (1)/(4)log|(1-2x)/(5+2x)|+C

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