Discover Common Mistakes: What Am I Doing Wrong?

  • Thread starter Thread starter camboguy
  • Start date Start date
camboguy
Messages
36
Reaction score
0
what am i doing wrong?

mathhelp2.jpg
 
Physics news on Phys.org


You have the right value for the integral you show. If you are calculating area, then you shouldn't get a negative value, so your integral is set up wrong in that case.
 


If the problem was "Find the area between x= y^2- 4y and x= 2y- y^2 for y between 0 and 3" you should note that 2y- y^2> y^2- 4y for y between 0 and 3 so you have the subtraction backwards.
 

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

Solving a Problem: Have I Made a Mistake or Are the Solutions Wrong?
Replies
4
Views
1K
Limits...what am I doing wrong ? (Without hopital)
Replies
2
Views
1K
Find the largest interval on which f is increasing
Replies
12
Views
3K
Trigonometric substitution, What am i doing wrong?
Replies
1
Views
1K
Quadratics Having a Common Tangent
Replies
1
Views
899
Marginal pdf, what am I doing wrong?
Replies
5
Views
2K
Please help me understand where I went wrong in my conversion from Cartesian to polar coordinates
Replies
3
Views
707
Calculating Volume of a Sphere Using Integration: What Mistakes Have I Made?
Replies
14
Views
2K
What am I doing wrong in this derivative
Replies
4
Views
2K
Is Our Everyday Thinking Flawed? Discover the Science Behind Our Daily Mistakes
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top