What is the integral of 1682x^2+987x+4774 ?

The integral of 1682x^2+987x+4774 is (1682x^3)/3+(987x^2)/2+4774x+C

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integral of 1682x^2+987x+4774

\int 1682 x^{2} + 987 x + 4774 d x

\frac{1682 x ^{3}}{3} + \frac{987 x ^{2}}{2} + 4774 x + C

Solution steps

\int 1682 x^{2} + 987 x + 4774 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 1682 x^{2} d x + \int 987 x d x + \int 4774 d x

\int 1682 x^{2} d x = \frac{1682 x ^{3}}{3}

\int 987 x d x = \frac{987 x ^{2}}{2}

\int 4774 d x = 4774 x

= \frac{1682 x ^{3}}{3} + \frac{987 x ^{2}}{2} + 4774 x

Add a constant to the solution

= \frac{1682 x ^{3}}{3} + \frac{987 x ^{2}}{2} + 4774 x + C

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What is the integral of 1682x^2+987x+4774 ?
The integral of 1682x^2+987x+4774 is (1682x^3)/3+(987x^2)/2+4774x+C