# Topic Category: Line Integral

## Problems on Line Integral-3

Example 1 : A particle moves counterclockwise along the curve from (1, 0) to a point P, under the action of the force Prove that there are two possible locations of P such that the work done by is 1. Solution : Point on ellipse is represented as Work done in equal to 1 So, So, …

## Problems on Line Integral-2

Example : 1 Evaluate the line integral where and C is curve in xy plane consisting of the straight lines from (0, 0) to (1, 0) and then to (3, 4). Solution : The curve C consists of two pieces of smooth curves and . is straight line from (0, 0) to (1, 0) ie. …

## Problems on Line Integral-1

Example 1 : If determine the value of where C is the curve in the xy plane from (0, 0) to (1, 2). Solution : The curve lies in xy plane, so, z = 0. z can never be taken as independent variable z is a dependent variable. Now, out of x and y, any …

## Introduction to Line Integral

Basic Concept Oriented Curve : Let C be a curve in space from A to B. It can be oriented by taking one of the possible two directions as positive. If the direction from A to B, is taken as positive then the direction from B to A will be negative. If the initial point …