All Questions
6
questions
0
votes
3
answers
84
views
examples of cases showing that knowing the area under a curve really matters ( at the elementary level)
It is often said that integral calculus offers a means to solve the area problem. My question, simply aims at understanding what is the interest of this area problem ( at the most basic level).
...
user655689
3
votes
5
answers
110
views
Finding the area bounded by $y = 2 {x} - {x}^2 $ and straight line $ y = - {x}$
$$
y =\ 2\ {x} - {x}^2
$$
$$
y =\ -{x}
$$
According to me , the area
$$
\int_{0}^{2}{2x\ -\ { x} ^2}\, dx \ + \int_{2}^{3}{\ {x} ^2\ -\ 2{x} }\, dx \\
$$
Which gives the area $ \frac{8}{3}$
But ...
user589548
0
votes
1
answer
92
views
A tank is part of a cone with a 10 foot radius on top, 4 foot radius on bottom 12 feet below the top Water in the tank has depth 5 feet
A tank is part of a cone with a 10 foot radius on top and a 4 foot radius on bottom, 12
feet below the top. Water in the tank has depth 5 feet.
Provide an integral for the work
done pumping the water ...
- 9
2
votes
1
answer
4k
views
Area bounded by$ y^2=x^2(1-x^2)$
Find the area bounded by $y^2=x^2(1-x^2)$?
I think in this way as the graph lies between -1 to 1 the area is 4 times of $\int x \sqrt{1-x^2} dx$ limits from 0 to 1. Am I correct?
- 1,144
0
votes
1
answer
4k
views
Using differentials with volume of a cube
My question is
The volume of a cube is increased from $1000$ cubic centimeters to $1156$ cubic centimeters.
Use differentials to determine. the side length of the cube increases by? the surface area ...
- 121
3
votes
1
answer
227
views
Ancient calculus or thorough observation
Integration. It's the simplest way on earth with which we can derive any formula like surface area or volume of symmetrical shapes and solids (square, circle, cube etc.). But what I've been hearing is ...
- 854