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

If the integral `int(5tanx)/(tanx-2)dx = x+a"ln"|sinx-2cosx|+k`, then a is equal to:

A

`-1`

B

`-2`

C

1

D

2

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Knowledge Check

  • If the integral int(5tanx)/(tanx-2)dx = x + a log [sinx-2 cos x]+k then a is equal to

    A
    `-1`
    B
    `-2`
    C
    1
    D
    2

  • If int (5tanx)/(tan x-2) dx=x+alpha In |sin x-2 cos x|+k, then a is equal to

    A
    `-1`
    B
    `-2`
    C
    1
    D
    2

  • inte^(x)tanx(1+tanx)dx=

    A
    `e^(x)(tanx-1)+c`
    B
    `e^(x)(tanx+1)+c`
    C
    `e^(-x)(tanx-1)+c`
    D
    `e^(x)(sec^(2)x-1)+c`

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