int(x+1)/(x^2+5x6)dx=...

`int(x+1)/(x^2+5x6)dx=`

Answer

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int(1)/(x^(2)-5x+6)dx

int 1/(x^2-5x+6) dx

Knowledge Check

int(x+1)/(x^2+5x+6)dx=

A

`log|((x+3)^2)/(x+2)|+c`

B

`log|(x+2)/((x+3)^2)|+c`

C

`2log|(x+3)/(x+2)|+c`

D

`2log|(x+2)/(x+3)|+c`

int(5x-1)/(3x^2+x+2)dx=

A

`(5)/(6)log|3x^2+x+2|-(11)/(3sqrt(23))tan^(-1)((6x+1)/(sqrt(23)))+c`

B

`(5)/(6)log|3x^2+x+2|+(11)/(3sqrt(23))tan^(-1)((6x+1)/(sqrt(23)))+c`

C

`(5)/(3)log|3x^2+x+2|-(11)/(3sqrt(23))tan^(-1)((6x+1)/(sqrt(23)))+c`

D

`(5)/(3)log|3x^2+x+2|+(11)/(3sqrt(23))tan^(-1)((6x+1)/(sqrt(23)))+c`

int(x^2)/(x^4+5x^2+6)dx=

A

`sqrt(3)tan^(-1)((x)/(sqrt(3)))-sqrt(2)tan^(-1)((x)/(sqrt(2)))+c`

B

`sqrt(3)tan^(-1)((x)/(sqrt(3)))+sqrt(2)tan^(-1)((x)/(sqrt(2)))+c`

C

`(1)/(sqrt(3))tan^(-1)((x)/(sqrt(3)))-(1)/(sqrt(2))tan^(-1)((x)/(sqrt(2)))+c`

D

`(1)/(sqrt(3))tan^(-1)((x)/(sqrt(3)))+(1)/(sqrt(2))tan^(-1)((x)/(sqrt(2)))+c`

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int(x^(2))/(x^(2)-5x+6)dx=

int_(2)^(3)(1)/(x^(2)+5x+6)dx =

A DAS GUPTA-Indefinite Integration of Rational and irrational functions-EXERCISE

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