# Find the area bounded curve $y = (x - 1)^3$, $x-$axis and the ordinates $x = -1$ and $x = 2$.

Find the area bounded curve $$y = (x - 1)^3$$, $$x-$$axis and the ordinates $$x = -1$$ and $$x = 2$$.

Shaded Area $$= \int_{-1}^{1}(-y)\cdot dx + \int_{1}^{2}(y)\cdot dx$$

$$= -\int_{-1}^{1}(x-1)^3\cdot dx + \int_{1}^{2}(x-1)^3\cdot dx$$

On integrating and putting limit $$= 4 + \frac{1}{4}$$
$$=\frac{17}4$$

I know how the curve will look like also how to find the area but I am getting a feeling that while evaluating I'm getting the wrong area. Can someone please guide?

• looks awesome to me Mar 25, 2016 at 5:18