Question

-. Find the area of the shaded region!
2x-1
3x
1²+ 4x-10
5x+3

Answer 1

First we need to find the area of the full region of the rectangle.

`A=5x+3 * x^(2) +4x-10`

`A=\left(x^2+4x-10\right)\left(5x+3\right)`

`A=5x^3+23x^2-38x-30`

Then find the area of the shaded region.

`A=3x\left(2x-1\right)`

`A=6x^2-3x`

Then subtract the total with the non-shaded region.

So the area of the shaded region will be
`5x^(3) +17x^2-35x-30`

Have a wonderful day! :-)