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x-sinx-cosx-1-x-e-x-sinx-dx-




Question Number 42364 by Tawa1 last updated on 24/Aug/18
∫  ((x + sinx − cosx − 1)/(x + e^x  + sinx)) dx
x+sinxcosx1x+ex+sinxdx
Commented by maxmathsup by imad last updated on 24/Aug/18
I = ∫ ((x+e^x  +sinx −e^x −cosx −1)/(x+e^x  +sinx))dx =x − ∫   ((e^x  +cosx +1)/(x +e^x  +sinx))dx  =x −ln∣x +e^x  +sinx∣ +c .
I=x+ex+sinxexcosx1x+ex+sinxdx=xex+cosx+1x+ex+sinxdx=xlnx+ex+sinx+c.
Commented by maxmathsup by imad last updated on 24/Aug/18
nevermind sir.
nevermindsir.
Commented by Tawa1 last updated on 24/Aug/18
God bless you sir
Godblessyousir

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