What is the integral of (x^2-5x+2) ?

The integral of (x^2-5x+2) is (x^3)/3-(5x^2)/2+2x+C

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integral of (x^2-5x+2)

\int (x^{2} - 5 x + 2) d x

\frac{x ^{3}}{3} - \frac{5 x ^{2}}{2} + 2 x + C

Solution steps

\int x^{2} - 5 x + 2 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 5 x d x + \int 2 d x

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

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 2 d x = 2 x

= \frac{x ^{3}}{3} - \frac{5 x ^{2}}{2} + 2 x

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{5 x ^{2}}{2} + 2 x + C

\frac{d}{d x} (lo g_{e} (3 x))

\frac{\partial}{\partial y} (x e^{2 x y})

y = e^{x}, (1, e)

\int_{15}^{30} 12 d x

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

What is the integral of (x^2-5x+2) ?
The integral of (x^2-5x+2) is (x^3)/3-(5x^2)/2+2x+C