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Popular >

integral of x^2-4x+6

Solution

\int x^{2} - 4 x + 6 d x

Solution

\frac{x ^{3}}{3} - 2 x^{2} + 6 x + C

Solution steps

\int x^{2} - 4 x + 6 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 6 d x

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

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

\int 6 d x = 6 x

= \frac{x ^{3}}{3} - 2 x^{2} + 6 x

Add a constant to the solution

= \frac{x ^{3}}{3} - 2 x^{2} + 6 x + C

Popular Examples

integral of 3+2x

\int 3 + 2 x d x

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\int \frac{6 x - 9}{x ^{2} - 3 x + 5} d x

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\int - 2 x^{4} e^{6 x^{5}} d x

integral of (x*e^{arcsin(x)})/(sqrt(1-x^2))

\int \frac{x \cdot e ^{a r c s i n (x)}}{1 - x ^{2}} d x

integral of 1/x-3/(16x^2+1)

\int \frac{1}{x} - \frac{3}{16 x ^{2} + 1} d x

Frequently Asked Questions (FAQ)

What is the integral of x^2-4x+6 ?
The integral of x^2-4x+6 is (x^3)/3-2x^2+6x+C