int((cosx+sinx)dx)/(sin x-cos x)...

`int((cosx+sinx)dx)/(sin x-cos x)`

Answer

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5. int((cos x+sin x)dx)/(sinx-cos x)

int(cos x +sinx)/(sin x-cos x)dx

Knowledge Check

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`

Similar Questions

Explore conceptually related problems

int(cosx+sinx)/(sin x-cos x)dx=

" (8) "int(cosx-sinx)/(sin x+cos x)dx

"int(cosx-sinx)/((sin x+cos x))dx

int(cosx-sinx)/(( sin x+ cos x)^(2))dx

I=inte^(cosx-sinx)(sin x+cos x)dx

If int(cos^(2)xsinx)/(sinx-cosx)dx=A log|sinx-cosx|+(1)/(8)(sin2x+cos2x)+C then A is equal to.

If . int(cos^(2)xsinx)/(sinx-cosx)dx=Alog|sinx-cosx|+(1)/(8)(sin2x+cos2x)+C, then A is equal to

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