Question

PLEASE teach me how to solve for work using integral calculus....just a basic explanation on the equation \(\LARGE W = \int_a^b F(x) dx\) and how to use it

Answer 1

i get what a and b are...the F(x) dx is what kills me

Answer 2

How about F(r) dot dr

Answer 3

that means...?

Answer 4

Ok, let's have some words:

Particle moving on a curve and subject to a force that depends on position.
Work done is the integral of the component of the force in the direction of the tangent of the curve. (ie a line integral)

Answer 5

i dont think i quite get that sorry

Answer 6

Another way of looking at it is that

W= 1/2mv^2_B - i/2mv^2_A (Newton's Second Law)

(Change in Kinetic Energy)

for a particle being moved from A to B and seeing that

F dx = F vdt

Answer 7

is pressure easier than this one? coz if it is...id like to learn that instead =_= this work thing seems complicated

Answer 8

knowing 2/3 of the lessin (volume and pressure) would be a LOT better than being stuck with work

Answer 9

Work is more like physics than math

Answer 10

so..pressure? seems a lot of formulas in work

Answer 11

If you learn all about line integrals then you will get the work stuff easier

Answer 12

Have you done vector calculus?

Answer 13

ahh but i dont know what line integral is

Answer 14

no vector calculus either

Answer 15

i think that's why i cant get this...a lot of the guys who teach me here make it complicated by adding those things

Answer 16

Perhaps you are right, leave W for a while, come back to it later.

Answer 17

It is you who are insisting on the use of integral calculus!

Answer 18

integral calulus yes....because it is the subject...but they're using other kinds of calculus =_=

Answer 19

The usual mathematical methods require knowledge of vector calculus and line integrals unfortunately.

Answer 20

aww too bad :/ all i know is volume, area between two curves and the technical stuffs of integration