int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dxi se ...

`int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dxi se q u a lto` `(sqrt(2x^4-2x^2+1))/(x^3)+C` (b) `(sqrt(2x^4-2x^2+1))/x+C` `(sqrt(2x^4-2x^2+1))/(x^2)+C` (d) `(sqrt(2x^4-2x^2+1))/(2x^2)+C`

`(sqrt(2x ^(4) -2x ^(2) +1))/(x^(2))+C`

`(sqrt(2x ^(4) -2x ^(2) +1))/(x)+C`

`(sqrt(2x ^(4) -2x ^(2) +1))/(2x^(2))+C`

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int(x^(2)-1)/(x^(3)sqrt(2x^(4)-2x^(2)+1))dx is equal to

int(x^(2)-1)/(x^(3)sqrt(2x^(4)-2x^(2)+1))dx,is equal to(sqrt(2x^(4)-2x^(2)+1))/((sqrt(2x^(4)-2x^(2)+1))/(x^(2)))+C(d)(sqrt(2x^(4)-2x^(2)+1))/(2x^(2))+C

int(x^(4)-1)/(x^(2))sqrt(x^(4)+x^(2)+1)dx equal to (A) sqrt((x^(4)+x^(2)+1)/(x)+c(B)sqrt(x^(4)+2-(1)/(x^(2)))+c)sqrt((x^(4)-x^(2)+1)/(x))+c

int(2x)/(sqrt(1-x^(2)-x^(4)))dx=

int(x^(4)-1)/(x^(2)sqrt(x^(2)+x^(2)+1))dx=sqrt(x^(2)+(1)/(x^(2))+1)+C(sqrt(x^(2)+x^(2)+1))/(x^(2))+C(sqrt(x^(4)+x^(2)+1))/(x)+C(d) none of these

Evaluate: int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx

int(2x)/(sqrt(1-x^(2)-x^(4)))dx

IfI=int(dx)/(x^(3)sqrt(x^(2)-1)), then Iequals a.(1)/(2)((sqrt(x^(2)-1))/(x^(3))+tan^(-1)sqrt(x^(2)-1))+C b.(1)/(2)((sqrt(x^(2)-1))/(x^(2))+x tan^(-1)sqrt(x^(2)-1))+Cc(1)/(2)((sqrt(x^(2)-1))/(x^(2))+tan^(-1)sqrt(x^(2)-1))+Cd(1)/(2)((sqrt(x^(2)-1))/(x^(2))+tan^(-1)sqrt(x^(2)-1))+C

lim_(xrarr oo)(sqrt(3x^2-1)+sqrt(2x^2-1))/(4x+3)=

VIKAS GUPTA (BLACK BOOK)-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)

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