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Popular Calculus >

integral of 4x^3+2x+1

Solution

\int 4 x^{3} + 2 x + 1 d x

Solution

x^{4} + x^{2} + x + C

Solution steps

\int 4 x^{3} + 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 4 x^{3} d x + \int 2 x d x + \int 1 d x

\int 4 x^{3} d x = x^{4}

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

\int 1 d x = x

= x^{4} + x^{2} + x

Add a constant to the solution

= x^{4} + x^{2} + x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 4x^3+2x+1 ?
The integral of 4x^3+2x+1 is x^4+x^2+x+C