Antiderivatives

**tradar** · April 14th 2009, 04:15 PM

True or False: If p(x) is a polynomial function, then one of the antiderivatives of p has a graph that passes through the origin.

I believe this is true, but I'm not positive...

**Jhevon** · April 14th 2009, 04:22 PM

Originally Posted by tradar

True or False: If p(x) is a polynomial function, then one of the antiderivatives of p has a graph that passes through the origin.

I believe this is true, but I'm not positive...

Let $P(x) = a_0 + a_1 x + a_2 x^2 + \cdots + a_nx^n$ be some arbitrary polynomial function.

what would its antiderivative look like? does it pass through the origin?

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