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Popular >

integral of 3-2x+x^2

Solution

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

Solution

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

Solution steps

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

\int 3 d x = 3 x

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

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

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

Add a constant to the solution

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

Popular Examples

integral of 1/(sqrt(-9x^2+6x+8))

\int \frac{1}{- 9 x ^{2} + 6 x + 8} d x

integral of (x^2-5x-24)/(x+3)

\int \frac{x ^{2} - 5 x - 24}{x + 3} d x

integral of t/(sqrt(1+3t))

\int \frac{t}{1 + 3 t} d t

integral of 3(x-4)^2

\int 3 (x - 4)^{2} d x

integral of (x^2-3x+5)/x

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

Frequently Asked Questions (FAQ)

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