I want full detail of maths topic in calculus ,Area bounded by a curve?

Answer 1

Well there's a lot of calculus topics. Here's some I've done so far.

area under a curve
area between two curves
arc length
surface of revolution
volume of a solid rotated about an axis
related rates
rate of change
nth derivatives
integration
instantaneous velocity
limits (infinite, finite)
curve sketching
fluid pressure/force
partial fractions
improper integrals

Answer 2

Use integration to find the area under a curve.Integration is the opposite process of differentiation.An area bounded by a curve can be found out by carrying out integration on the equation of the curve

Answer 3

Full detail? Find a calculus book, the topic takes up most of a chapter (not counting integration in general), and that's still not full detail. Try the link.

Answer 4

area bounded by a curve means the curve is a close curve like circle, ellipse etc.
if the boundary is not a closed curve, then it may be intersection of many curves. Fint the vertices by solving the curves forming the boundary.
The required area is sum/difference of many areas bounded by the 'sides' and vertices.
you have reduced the problem into the form as given in your theorm.

Answer 5

because of the fact the circle has the beginning place on (0,0), for this reason the circle's equation is of the type: X^2 + Y^2 = r^2 (no longer your question, yet for extra info) and since the factor (6,8) belongs to the circle circumference, for this reason the line section that connect the factor (6,8) with the beginning place of the circle (0,0) is the radius (r). And the section's length may well be gained from many techniques: a million. Pythagoras theory: i.e. the section type with the coordination axes (x, y), a appropriate triangle with Hypotenuse being the section (n), and a couple of factors of lengths of 6, 8. So the section's length equals n^2 = 6^2 + 8^2 = 36 + sixty 4 = one hundred, so n = 10. 2. Or from distance between 2 factors' regulation (yet its no longer mandatory to apply it in coordinating structures). So the circle's section is, in accordance to its regulation: A = ?r^2 = (3.141592)(10)^2 = 314.1592

Answer 6

goggle it and you will get your answer. You may want to derive this expression, however, I got the feeling that you have cannot this, either.

Open a good Calculus book and go to the integration section for more details.

Good luck.

Answer 7

RTFB

Answer 8

http://archives.math.utk.edu/visual.calculus/5/polar.1/index.html

http://library.thinkquest.org/C0110248/calculus/appintgarea.htm

http://www.math.psu.edu/dlittle/java/calculus/polarArea.html

http://www.geocities.com/rajagopalan_99/Area.html