the physical meaning of differntiation is finding the rate of change of one variable with respect to another variable. How would you explain integration in a similar sentence ?
2007-01-30 08:45:22 · 5 answers · asked by prashant2100 2 in Science & Mathematics ➔ Mathematics
The sum total effect of the rate of change of one variable with respect to another variable.
2007-01-30 08:49:30 · answer #1 · answered by uahgrad05 3 · 1⤊ 0⤋
Integration is a sum of all the values of one variable when other variable takes values from some range.
For example, a velocity is given by v=dx/dt, a change of position over time.
On the other hand, if you know the velocity, you can calculate the displacement after given time t1 by integrating:
x=integral ( v*dt) . This means that you break the time range t=(0 : t1) into very small intervals , each equals to dt , calculate the displacement at this time interval by multiplying v(dt)*dt and then summing up all the displacements to get the total displacement
2007-01-30 08:58:30 · answer #2 · answered by gindindm 2 · 0⤊ 0⤋
The reverse of differentiation.
First Derivative : Velocity
Second Derivative : Acceleration
Single Integral : Area Under Curve
Double Integral : Volume Beneath Surface
2007-01-30 09:11:00 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Integration is knowing the rate of change of one variable with repect to anther and finding the function that relates the variables. This is why integrating is often called finding the antiderivative. Integration is the inverse of differentiation.
2007-01-30 08:55:25 · answer #4 · answered by ironduke8159 7 · 0⤊ 0⤋
usually, it somewhat is the belief, integration by employing areas is used for integrating products that are unrelated, ie. xlnx. Use substitution on a spinoff for which a chain rule utility is clean.
2016-12-17 06:00:32 · answer #5 · answered by ? 3 · 0⤊ 0⤋