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int(1+sinx)/((x-cosx)^(3))dx=...

`int(1+sinx)/((x-cosx)^(3))dx=`

A

`(-1//2)/((x-cosx)^(2))+c`

B

`(1)/(2(x-cosx)^(2))+c`

C

`(1)/((x-cosx)^(2))+c`

D

`(1)/((x-cosx)^(3))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • int(sinx)/((sinx-cosx))dx=?

    A
    `(1)/(2)x-(1)/(2)log|sinx-cosx|+C`
    B
    `(1)/(2)x+(1)/(2)log|sinx-cosx|+C`
    C
    `log|sinx-cosx|+C`
    D
    none 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`

  • int((1+sinx))/((1+cosx))dx=?

    A
    `"tan"(x)/(2)+2log|"cos"(x)/(2)|+C`
    B
    `"-tan"(x)/(2)+2log|"cos"(x)/(2)|+C`
    C
    `"tan"(x)/(2)-2log|"cos"(x)/(2)|+C`
    D
    none of these

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