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int(x)/(4x+5)dx=...

`int(x)/(4x+5)dx=`

A

`(4)/(x)-(16)/(5)log(4x+5)+c`

B

`(x)/(4)-(5)/(16)log(4x+5)+c`

C

`(x)/(4)-(5)/(16)log(4x+5)+c`

D

`(x^(2))/(2)+(1)/(4)log(4x+5)+c`

Text Solution

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Knowledge Check

  • If int(3x+4)/(5x-7)dx=ax+b.log(5x-7)+c , then (a, b)-=

    A
    `((5)/(3),(25)/(41))`
    B
    `((3)/(5),(41)/(25))`
    C
    `(3, 41)`
    D
    `(5, 25)`

  • int(dx)/(x^2+4x-5)=

    A
    `(1)/(6)log|(x+5)/(x-1)|+c`
    B
    `(1)/(6)log|(x-1)/(x+5)|+c`
    C
    `(1)/(3)log|(x+5)/(x-1)|+c`
    D
    `(1)/(3)log|(x-1)/(x+5)|+c`

  • Integrate the following functions with respect to x (a) int (5x^2 + 3x -2) dx (b) int (4sin x-(2)/(x)) dx (c) int (dx)/(4x+5) (d) int (6x +2)^(3) dx

    A
    `(5x^2)/(3) + (3x^(2))/ (2) - 2x + c`
    B
    `(x^3)/(3) + (3x^(2))/ (2) - 2x + c`
    C
    `(5x^3)/(3) + (3x^(2))/ (2) - 2x + c`
    D
    `(5x^3)/(3) + (x^(2))/ (2) - 2x + c`

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