Help / Need suggestion on integration

[Lanlan]

Hi everyone,
I am calculating an energy and one of its elements has this: v(t)³. I need to integrate it from time 0 to t1.
I know it will be very easy if integrate it by v, but now I need to integrate it by time.

Dont know how to get to the next step. Can anyone give me the result expression?
Any help greatly appreciated as always

 

[Romsek]

[MATH]\displaystyle \int v(t)^3 ~dv = \int v(t)^3 ~\dfrac{dv}{dt}~dt[/MATH]
do you have [MATH]\dfrac{dv}{dt}[/MATH] ?

 

[Lanlan]

[MATH]\displaystyle \int v(t)^3 ~dv = \int v(t)^3 ~\dfrac{dv}{dt}~dt[/MATH]
do you have [MATH]\dfrac{dv}{dt}[/MATH] ?

Sorry, but the velocity is a group of data. I don't have an algebraic expression for dv/dt.

 

[Deleted member 4993]

Sorry, but the velocity is a group of data. I don't have an algebraic expression for dv/dt.

What method of "numerical integration" have you been taight?

 

[Steven G]

You can't integrate with respect to t if you do not know/can't find v(t) and dv/dt.

Can we see the exact problem? Maybe a picture of what is in your textbook?