Solve \int 2(2x - 3)2/3 dx

Evaluate

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

Multiply the terms

More Steps

\int (\frac{8}{3} x - 4) d x

Rewrite the expression

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

Use the property of integral \int k f (x) d x = k \int f (x) d x

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

Use the property of integral \int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

Calculate

\frac{4}{3} \times \int 2 x d x + \frac{4}{3} \times \int - 3 d x

Evaluate the integral

More Steps

\frac{4 x ^{2}}{3} + \frac{4}{3} \times \int - 3 d x

Evaluate the integral

More Steps

\frac{4 x ^{2}}{3} - 4 x

Solution

\frac{4 x ^{2}}{3} - 4 x + C, C \in R