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What is the integral of #4x^3#?

Answer 1

Emily Ammerman

The integral equals #x^4 + C#

As given by the power rule, #int x^ndx = x^(n + 1)/(n + 1)#.

#I = 4x^(3+ 1)/(3 + 1) = x^4 + C#

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Answer 2

Isaiah Allen

#\int 4x^3 dx= x^4 + C#

#\int 4x^3 dx#

#=4(x^(3+1)/(3+1))+C# ; #C\equiv# arbitrary constant

#=4(x^(4)/(4))+C#

#= x^4 + C#

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Answer 3

Adam Adkins

The integral of 4x^3 with respect to x is (4/4)x^4 + C, which simplifies to x^4 + C, where C is the constant of integration.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.