Choose the correct answer`intsqrt(x^2-8x+7)dx`(A) `1/2(x-4)sqrt(x^2-8x+7)+9log|x-4+sqrt(x^2-8x+7)|+C`(B) `1/2(x+4)sqrt(x^2-8x+7)+9log|x+4+sqrt(x^2-8x+7)|+C`(C) `1/2(x-4)sqrt(x^2-8x+7)-3sqrt(2)log|x-4+sqrt(x^2-8x+7)|+C`(D) `1/2(x-4)sqrt(x^2-8x+7)-A. `(1)/(2)(x+4)sqrt(x^(2)-8x+7)` `+9log |x+4+sqrt(x^(2)-8x+7|+C`B. `(1)/(2)(x-4)sqrt(x^(2) -8x+7)` `-3sqrt(2)log|x-4+sqrt(x^(2)-8x+7|+C`C. `(1)/(2) (x-4)sqrt(x^(2)-8x+7)` `-(9)/(2)log|x-4+sqrt(x^(2)-8x+7|+C`D.

Choose the correct answer`intsqrt(x^2-8x+7)dx`(A) `1/2(x-4)sqrt(x^2-8x

1.	Choose the correct answer`intsqrt(x^2-8x+7)dx`(A) `1/2(x-4)sqrt(x^2-8x+7)+9log\|x-4+sqrt(x^2-8x+7)\|+C`(B) `1/2(x+4)sqrt(x^2-8x+7)+9log\|x+4+sqrt(x^2-8x+7)\|+C`(C) `1/2(x-4)sqrt(x^2-8x+7)-3sqrt(2)log\|x-4+sqrt(x^2-8x+7)\|+C`(D) `1/2(x-4)sqrt(x^2-8x+7)-A. `(1)/(2)(x+4)sqrt(x^(2)-8x+7)` `+9log \|x+4+sqrt(x^(2)-8x+7\|+C`B. `(1)/(2)(x-4)sqrt(x^(2) -8x+7)` `-3sqrt(2)log\|x-4+sqrt(x^(2)-8x+7\|+C`C. `(1)/(2) (x-4)sqrt(x^(2)-8x+7)` `-(9)/(2)log\|x-4+sqrt(x^(2)-8x+7\|+C`D.
Answer» Correct Answer - D `" Let " I= int sqrt(x^(2)-8x+7)dx` `rArr I=int sqrt(x^(2)-8x+7+(4)^(2)-(4)^(2))dx` `= int sqrt((x-4)^(2)+7-16)dx` `=int sqrt((x-4)^(2)-(3)^(2))dx` `rArr I=(x-4)/(2)sqrt(x^(2)-8x+7)` `-(9)/(2)log \|x+4+sqrt(x^(2)-8x+7)\|+c`