Question

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`\int (8x - 4)/(4) \: dx`
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Answer 1

x² - x + c

Explanation:

Using the power rule for integration

∫ a
`x^(n)` dx =
`(a)/(n+1)`
`x^(n+1)`

∫
`(8x-4)/(4)` dx ( divide terms on numerator by 4 )

= ∫ (2x - 1) dx

=
`(2)/(2)`
`x^(1+1)` - x + c

= x² - x + c ( c is the constant of integration )