What is the antiderivative of #(2x^4)+(4x^3)+(3x^2)+2x+4#?

Answer 1

Isaiah Allen

#=(2x^5)/5+x^4+x^3+x^2+4x+C#

Rule of Power

#color(green)(intx^n=x^(n+1)/(n+1)+C#

#int(2x^4+4x^3+3x^2+2x+4)#

#=(2x^5)/5+x^4+x^3+x^2+4x+C#

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Answer 2

Axel Alvarez

The antiderivative of ( 2x^4 + 4x^3 + 3x^2 + 2x + 4 ) is:

[ \frac{2}{5}x^5 + x^4 + x^3 + x^2 + x + 4x + 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.

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