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Popular >

integral of 3x^2+2x+1

Solution

\int 3 x^{2} + 2 x + 1 d x

Solution

x^{3} + x^{2} + x + C

Solution steps

\int 3 x^{2} + 2 x + 1 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 x^{2} d x + \int 2 x d x + \int 1 d x

\int 3 x^{2} d x = x^{3}

\int 2 x d x = x^{2}

\int 1 d x = x

= x^{3} + x^{2} + x

Add a constant to the solution

= x^{3} + x^{2} + x + C

Graph

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x \to 0 lim (1 + x)

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\int_{x}^{x^{2}} e^{t^{4}} d t

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Frequently Asked Questions (FAQ)

What is the integral of 3x^2+2x+1 ?
The integral of 3x^2+2x+1 is x^3+x^2+x+C