hello
i am really having trouble with this question.
Can anyone help??

Find the are of the region shadded in the diagram.

the equation of the curve is y=6x^2

2. Originally Posted by Oasis1993
Find the are of the region shadded in the diagram.

the equation of the curve is y=6x^2
$A = \int_0^5 150 - 6x^2 \, dx$

3. thank you,
but i couldnt understand?

4. Originally Posted by Oasis1993
thank you,
but i couldnt understand?
Calculate the area under the curve (standard integration) and subtract that from the rectangular area defined by the limits.
at x=0, y=0; and at x=5, y=150.
Area of rectangle: 5x150 = 750
Now subtract the area under the curve.

5. Originally Posted by Oasis1993
thank you,
but i couldnt understand?
I assume that you know that the area between two functions is

$\int_a^b f(x) - g(x) \, dx$ , where $f(x) > g(x)$

for your sketch, $f(x)$ is the constant function $y = 150$ and $g(x) = 6x^2$

6. Originally Posted by Oasis1993
thank you,
but i couldnt understand?
Calculate the area under the curve (standard integration) and subtract that from the rectangular area defined by the limits.
at x=0, y=0;
at x=5, y=150.
Area of rectangle: 5x150 = 750

7. Thank you all for your help!