`e^(x)((cosx-sinx)/(sin^(2)x))`

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inte^x((cosx-sinx)/(sin^2x))dx=

(cosx-sinx)/(sqrt(8-sin2x))

inte^(x)(sinx-cosx)/(sin^(2)x)dx=

inte^(x)[(sinx+cosx)/(1-sin^(2)x)]dx is

If int(cosx-sinx)/(8-sin2x)dx=(1)/(p)log[(3+sinx+cosx)/(3-sinx-cosx)]+c , then p= . . . .

int e^(x)[(1+sinx cosx)/(cos^(2)x)]dx

Prove the following: (frac(cosx+sinx)(cosx-sinx))-(frac(cosx-sinx)(cosx+sinx))=2tan2x

Prove the following Identities (cosx+sinx)/(cosx-sinx)-(cosx-sinx)/(cosx+sinx)=2tan2x

If A=[(cosx,sinx),(-sinx,cosx)] , show that A^(2)=[(cos2x,sin2x),(-sin2x,cos2x)] and A^(1)A=1 .