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Popular >

integral of 2x^2-x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of (1+x)^{-4}

\int (1 + x)^{- 4} d x

\frac{7 d u}{d t} = u^{2}

4 y^{^{''}} + 8 y = 0

integral from-1 to 1 of x^{1/3}

\int_{- 1}^{1} x^{\frac{1}{3}} d x

limit as x approaches-1 of sin(pix)

x \to - 1 lim (sin (π x))

Frequently Asked Questions (FAQ)

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