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If the integral int (5tan x)/(tanx-2)dx=...

If the integral `int (5tan x)/(tanx-2)dx= x+a l_(n) |sinx-2cos x|+k`, then a is equal to :

A

`-1`

B

`-2`

C

`1`

D

`2`.

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • int (5tanx)/(tanx-2)dx = x+a log (sin x-2 cos x) then a =

    A
    1
    B
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  • int (dx)/(cos x-sin x) is equal to :

    A
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    B
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    C
    `(1)/(sqrt(2))log|tan((x)/(2)-(3pi)/(8))|+c`
    D
    `(1)/(sqrt(2))log|tan((x)/(2)+(3pi)/(8))|+c`

  • int 2e^(x)(cos x -sinx)dx is equal to :

    A
    `2e^(x)cos x+c`
    B
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