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First just "factor" out the constant: (1/7)
∫ x/7 dx = 1/7
∫x dx
The integral of xn is xn+1/ (n+1)
In this case, our n=1 so:
x(1+1)/(1+1) = x2/2
Don't forget about the 1/7 we factored out:
(1/7)(1/2)(x2) = x2/14
Therefore the answer is (don't forget your C):
∫
x/7 dx =
x
2/14 + C
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3
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3
