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Popular >

integral of x^2-3x+2

Solution

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

Solution

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

Solution steps

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

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

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Graph

Popular Examples

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

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

derivative of sqrt(1+2x^2)

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

y^{''}-5/x y^'+8/(x^2)y=0

y^{^{''}} - \frac{5}{x} y^{^{'}} + \frac{8}{x ^{2}} y = 0

7t(dy)/(dt)-3y=sqrt(t)

7 t \frac{d y}{d t} - 3 y = t

slope of y=4-x^2,(3,-5)slope

y = 4 - x^{2}, (3, - 5)

Frequently Asked Questions (FAQ)

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