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# exp integration help needed watch

1. i expanding the brackets out and got
integral of( e^2x+ 2(e^x) +1) equation Q
then i integrated it:
1/2(e^2x)+2e^x+c
but in the book it says
1/2(e^2x)+2e^x+x+c ---------> they added an +x to the equation why i think they integrated the +1 from equation Q and got x but you cannot integrate a constant. please help.
2. here is the question
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3. (Original post by assassinbunny123)
i expanding the brackets out and got
integral of( e^2x+ 2(e^x) +1) equation Q
then i integrated it:
1/2(e^2x)+2e^x+c
but in the book it says
1/2(e^2x)+2e^x+x+c ---------> they added an +x to the equation why i think they integrated the +1 from equation Q and got x but you cannot integrate a constant. please help.
The integral of a constant k with respect to x is kx.

So

You can see this because if you differentiate kx you get k.
4. (Original post by Notnek)
The integral of a constant k with respect to x is kx.

So

You can see this because if you differentiate kx you get k.
ouch sorry it was a such a stupid question my head was just confused between integrating differentiation thx for your help

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