APPLICATIONS OF CALCULUS

I know that Differential Calculus applications are for finding the rate of change, maxima and minima, etc. Integral, on the other hand, is commonly used in determining areas, volume, work, etc.

My question is, could applications mentioned for diffrential be solved by integral calculus and vice versa? Could any problem be solved by both differential and integral?

Thanks,
RENATO :?:

Of course both can be used! When figuring out Arc Length both are used. But I don't think you can switch off using them.