What is the integral from 0 to r of (r-(r^3)/(r^2)) ?

The integral from 0 to r of (r-(r^3)/(r^2)) is 0

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integral from 0 to r of (r-(r^3)/(r^2))

\int_{0}^{r} (r - \frac{r ^{3}}{r ^{2}}) d r

0

Solution steps

\int_{0}^{r} r - \frac{r ^{3}}{r ^{2}} d r

r - \frac{r ^{3}}{r ^{2}} = 0

= \int_{0}^{r} 0 d r

Integral of a constant:

\int a d x = a x

= [0 \cdot r]_{0}^{r}

Simplify

= [0]_{0}^{r}

Compute the boundaries:

0

= 0

What is the integral from 0 to r of (r-(r^3)/(r^2)) ?
The integral from 0 to r of (r-(r^3)/(r^2)) is 0