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Popular >

integral of 1-2x+x^2

Solution

\int 1 - 2 x + x^{2} d x

Solution

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

Solution steps

\int 1 - 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 1 d x - \int 2 x d x + \int x^{2} d x

\int 1 d x = x

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

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

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

Add a constant to the solution

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

Popular Examples

limit as x approaches 0 of (ln(1+x))/x

x \to 0 lim (\frac{ln ( 1 + x )}{x})

tangent of f(x)=x^2+9,(5,34)tangent of

f (x) = x^{2} + 9, (5, 34)

integral of ((9x^2+5x+9))/((x^2+1)^2)

\int \frac{( 9 x ^{2} + 5 x + 9 )}{( x ^{2} + 1 ) ^{2}} d x

(x^6+y^6)dx+6xy^5dy=0

(x^{6} + y^{6}) d x + 6 x y^{5} d y = 0

f (t) = cos^{2} (t)

Frequently Asked Questions (FAQ)

What is the integral of 1-2x+x^2 ?
The integral of 1-2x+x^2 is x-x^2+(x^3)/3+C