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

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

Popular >

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

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

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

Solution steps

\int \frac{3}{2} x^{2} - 2 \cdot \frac{x}{3} 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 \frac{3}{2} x^{2} d x - \int 2 \cdot \frac{x}{3} d x

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

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

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

Add a constant to the solution

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

\frac{\partial}{\partial x} (x^{2} + y^{2} - z)

\int 3 - \frac{1}{3} \cdot (x - 4)^{2} d x

\int \frac{3 x ^{2} + 1}{( x ^{2} + 1 ) ^{3}} d x

\int_{0}^{2} \frac{x ^{2} - 2}{x + 1} d x

y^{^{''}} - 12 y^{^{'}} + 36 y = 0, y (0) = 4, y^{^{'}} (0) = 0

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