निम्नंलिखित फलनों का x के सापेक्ष समाकलन कीजिए -
(i) `sqrt (x^(2) + 2x +5)`
(ii) `sqrt(3-2x-x^(2))`
(iii) `sqrt(x^(2)+ 8x - 6)`

Answer

(i) ` therefore I = (x+1)/(2) sqrt(x^(2)+ 2x+5)+2 log abs((x+1+sqrt(x^(2)+2x +5)))+c`
(ii) ` therefore I = (x+1)/(2) sqrt(3-2x-x^(2))+ 2 sin ^(-1)((x+1)/(2))+c`
(iii) ` thereforeI = ((x+4))/(2) sqrt(x^(2)+8x-6) - 11 log abs((x+4) + sqrt(x^(2)+8x -6))+c`