go to jove.com

HIGH SCHOOL

Mathematics

Concept Videos

Calculus

This is a free preview. For full access

Integrals

Indefinite Integrals

Description

The water inflow rate into a storage tank is not constant but increases over time. Initially, the pump delivers water at a rate of 5 L/min. However, the inflow rate increases by 2 L/min for each additional minute due to rising pressure or system adjustments. This scenario can be described mathematically by a linear function:

Transcript

Water flows into a large industrial storage tank, but the inflow rate is not constant. Initially, the pump delivers water at 5 m3/s.

The water inflow is increasing at a constant rate of two cubic meters per second due to continuous system adjustments.

This steady change makes the water inflow rate a linear function of time...

Tags

Indefinite IntegralsLinear FunctionPower RuleQuadratic EquationWater Inflow RateTotal Volume CalculationConstant of IntegrationRate of ChangeMathematical IntegrationCalculus Application