Khan Academy Static

You've done some work with line integral with scalar functions and you know something about parameterizing position-vector valued functions. In that case, welcome! You are now ready to explore a core tool math and physics: the line integral for vector fields. Need to know the work done as a mass is moved through a gravitational field. No sweat with line integrals.

6743_Vector_field_line_integrals_dependent_on_path_direction.html

6740_Using_a_line_integral_to_find_work.html

6741_Parametrization_of_a_reverse_path.html

6742_Scalar_field_line_integral_independent_of_path_direction.html

6739_Line_integrals_and_vector_fields.html

6744_Path_independence_for_line_integrals.html

6747_Second_example_of_line_integral_of_conservative_vector_field.html

6746_Example_of_closed_line_integral_of_conservative_field.html

6745_Closed_curve_line_integrals_of_conservative_vector_fields.html