∫cos⁡x−1sin⁡x+1exdx is equal to 

cosx1sinx+1exdx is equal to 

  1. A

    excosx1+sinx+C

  2. B

    Cexsinx1+sinx

  3. C

    Cex1+sinx

  4. D

    Cexcosx1+sinx

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    Solution:

    cosx1sinx+1exdx=cosx1+sinxexdx11+sinxexdx=(cosx)ex1+sinx(1+sinx)sinxcos2x(1+sinx)2exdxexsinx+1dx+C =excosx1+sinx+11+sinxexdxex1+sinxdx+C=excosx1+sinx+C

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