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int sqrt(tanx)/(sinx cosx)dx...

`int sqrt(tanx)/(sinx cosx)dx`

A

`(1)/(2) sqrt(tan x) + c`

B

`2 sqrt(tan x) +c`

C

`sqrt2 tan x+c`

D

`(1)/(sqrt(2 tan x)) +c`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • int(In(tanx))/(sinx cosx)dx " is equal to "

    A
    `(1)/(2)In(tanx)+c`
    B
    `(1)/(2)In(tan^(2)x)+c`
    C
    `(1)/(2)(In(tanx))^(2)+c`
    D
    non of these

  • int(sinx)/(sinx-cosx)dx=

    A
    `(1)/(2).log(sinx-cosx)+c`
    B
    `(1)/(2).[log(sinx-cosx)+x]+c`
    C
    `(1)/(2).log(cosx-sinx)+x+c`
    D
    `(1)/(2).[log(cosx-sinx)+x]+c`

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    int (dx)/(sinx cosx)=

    int(sinx*cosx)dx

    int(dx)/(sinx+cosx)=

    int(dx)/(sinx+cosx)=

    int(dx)/(sinx-cosx)=

    int(tanx)/((1-sinx))dx

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