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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

Graph

Popular Examples

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

\int \frac{2 x + 1}{x ^{2} + x + 3} d x

derivative of f(x)=(x^2-81)/(x-9)derivative of

f (x) = \frac{x ^{2} - 81}{x - 9}

integral of sin(12x)cos(3x)

\int sin (12 x) cos (3 x) d x

derivative of (x^2/((1-y^2)))

\frac{d}{d x} (\frac{x ^{2}}{( 1 - y ^{2} )})

integral of ((y^2)/4)^2

\int (\frac{y ^{2}}{4})^{2} d y

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