What is the integral of x^2+3x-1000000 ?

The integral of x^2+3x-1000000 is (x^3)/3+(3x^2)/2-1000000x+C

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integral of x^2+3x-1000000

\int x^{2} + 3 x - 1000000 d x

\frac{x ^{3}}{3} + \frac{3 x ^{2}}{2} - 1000000 x + C

Solution steps

\int x^{2} + 3 x - 1000000 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 x^{2} d x + \int 3 x d x - \int 1000000 d x

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

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

\int 1000000 d x = 1000000 x

= \frac{x ^{3}}{3} + \frac{3 x ^{2}}{2} - 1000000 x

Add a constant to the solution

= \frac{x ^{3}}{3} + \frac{3 x ^{2}}{2} - 1000000 x + C

\frac{1}{x + 9}

\int \frac{e ^{\frac{x}{2}}}{x} d x

\int 7 x^{3} + 4 x^{2} d x

\frac{3}{2 x}

\frac{d}{d x} (ln ((x - 3)^{2}))

What is the integral of x^2+3x-1000000 ?
The integral of x^2+3x-1000000 is (x^3)/3+(3x^2)/2-1000000x+C