What is the Area of the Region Bounded by y = 3x^2-3, x = 0, x = 2, and y = 0?

disk256
Messages
2
Reaction score
0
The area of the region bounded by the curve y = 3x^2-3 , the y-axis, x-axis, and the line
x = 2 is equal to

so far i ve managed to draw the graph i m getting a value of 9

is that correct
 
Physics news on Phys.org
disk256 said:
The area of the region bounded by the curve y = 3x^2-3 , the y-axis, x-axis, and the line
x = 2 is equal to

so far i ve managed to draw the graph i m getting a value of 9

is that correct
Are you sure this is the exact wording of the problem? It's not clear to me what the region looks like.
 
Do you mean this region?
 

Attachments

  • Region.gif
    Region.gif
    1.4 KB · Views: 502

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Calculate this Integral around the Circular Path using Green's Theorem
Replies
3
Views
2K
Triple Integral To Find Volume Between Cylinder And Sphere
Replies
2
Views
2K
Verify Green's Theorem in the given problem
Replies
10
Views
2K
Find the bounds after changing the variables in a double integral
Replies
5
Views
2K
Double Integral of function in region bounded by two circles
Replies
19
Views
2K
Volume between a region (above x-axis and below parabola) and a surface
Replies
4
Views
2K
Finding Area using parametric equation
Replies
12
Views
2K
Volume of Static Solid Using Cross-Sectional Area (Integration)
Replies
2
Views
978
Volume of revolution, region bounded by two functions
Replies
1
Views
1K
Volume of a Solid using Cylindrical Shells
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top