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Popular >

integral of 3x^2+2x+1

Solution

integral

3 x^{2} + 2 x + 1

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

Popular Examples

integral of ((x^3-x^2+x-1))/((x-1))integral

\frac{( x ^{3} - x ^{2} + x - 1 )}{( x - 1 )}

integral of 1/(x^2(2x+1)^3)integral

\frac{1}{x ^{2} ( 2 x + 1 ) ^{3}}

integral of 5/(x^2)integral

\frac{5}{x ^{2}}

integral of (2x-1)e^x integral

(2 x - 1) e^{x}

integral of ((x^2+2))/((x+1))integral

\frac{( x ^{2} + 2 )}{( x + 1 )}

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