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The value of int(cos2x)/(sinx+cosx)^(2) ...

The value of `int(cos2x)/(sinx+cosx)^(2)` dx is equal to

A

`-1/(sinx+cosx)+C`

B

`ln(sinx+cosx)+C`

C

`ln(sinx-cosx)+C`

D

`ln(sinx+cosx)^(2)+C`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The value of int(sqrt(tanx)/(sinx cosx)) dx is equal to

    A
    `2sqrt(tanx)+C`
    B
    `2sqrt(cotx)+C`
    C
    `sqrt(tanx)/(2)+C`
    D
    `sqrt(tanx)+C`

  • int(cos2x)/(sinx+cosx)dx=

    A
    `secx-cosx`
    B
    `sinx-cosx`
    C
    `sinx+cosx+c`
    D
    `secx+tanx+c`

  • int(cosx-sinx)/(1+2sin x cosx)dx is equal to

    A
    `-(1)/(cos x- sinx)+C`
    B
    `(cos x+sin x)/(cos x-sinx)+C`
    C
    `-(1)/(sin x+cosx)+C`
    D
    `(x)/(sinx+cosx)+C`

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