What is the antiderivative of $12x^3 - 7x$ ?

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Answer 1 · 2016-10-22T16:43:03

$3x^4-(7x^2)/2+C$

knowing the property of integrating polynomials that says:
$color(red)(intx^ndx=x^(n+1)/(n+1))$

$int12x^3-7xdx$
$=int12x^3dx-int7xdx$
$=(12color(red)(x^4))/4-(7color(red)(x^2))/2+C$
$=3x^4-(7x^2)/2+C$

What is the antiderivative of 12x^3 - 7x12x^3 - 7x?