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Popular >

integral of x^2-2x+3

Solution

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

Solution

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

Solution steps

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

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

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Popular Examples

derivative of sec(5/6)x^3 derivative of

sec (\frac{5}{6}) x^{3}

(\partial)/(\partial x)(-e^{kz}Awsin(kx-wt))

\frac{\partial}{\partial x} (- e^{k z} A w sin (k x - wt))

(\partial)/(\partial x)(e^{4xe^y})

\frac{\partial}{\partial x} (e^{4 x e^{y}})

limit as x approaches 1-of 2/x-1/(ln(x))

x \to 1 - lim (\frac{2}{x} - \frac{1}{ln ( x )})

integral of (-x+2)/(x^2+2x+4)

\int \frac{- x + 2}{x ^{2} + 2 x + 4} d x

Frequently Asked Questions (FAQ)

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