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Popular >

integral of x^2-4x+4

Solution

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

Solution

\frac{x ^{3}}{3} - 2 x^{2} + 4 x + C

Solution steps

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

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

\int 4 x d x = 2 x^{2}

\int 4 d x = 4 x

= \frac{x ^{3}}{3} - 2 x^{2} + 4 x

Add a constant to the solution

= \frac{x ^{3}}{3} - 2 x^{2} + 4 x + C

Graph

Popular Examples

(dy)/(dx)=(cos(12x))/(e^{12y)}

\frac{d y}{d x} = \frac{cos ( 12 x )}{e ^{12 y}}

integral from 1 to 2 of (15)/(x^3+5x)

\int_{1}^{2} \frac{15}{x ^{3} + 5 x} d x

simplify xL(x)-x simplify

xL (x) - x

y^{''}-y^'-6y=0,y(0)=0,y^'(0)=4

y^{^{''}} - y^{^{'}} - 6 y = 0, y (0) = 0, y^{^{'}} (0) = 4

integral of (18)/((x+3)(x^2+9))

\int \frac{18}{( x + 3 ) ( x ^{2} + 9 )} d x

Frequently Asked Questions (FAQ)

What is the integral of x^2-4x+4 ?
The integral of x^2-4x+4 is (x^3)/3-2x^2+4x+C