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The William States Lee College of Engineering
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  • Algebra Review
    • Basic Algebra Review
    • Practice 1
  • Analytic Geometry
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    • Practice
    • Practice
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    • Practice
    • Practice
    • Practice Problem
    • Practice Problem
  • DEQ
    • Applications
      • Brine
        • Concentration of Brine
        • Concentration of Brine
        • Concentration of Brine
        • Concentration of Brine
        • DEQ
      • Kirchoff
        • Kirchoff’s Law
        • Kirchoff’s Law
        • Kirchoff’s Law
        • Kirchoff’s Law
          • Population Growth
            • Population Growth
              • Population Growth
      • Population
        • Population Growth
        • Population Growth
        • Population Growth
          • Radioactive Decay
            • Radioactive Decay
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    • Example
    • Example 1
    • Example 3
    • First Order DE
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        • Example 3
          • Example 3
      • Example 1
        • Example 1
          • Example 1
            • Example 1
  • Deriv of Log
    • Deriv of Log Applications
      • Exponential & Log function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
      • Exponential & Log Function Derivatives
    • Derivatives of Exponential and Logarithmic Functions
    • Derivatives of Exponential and Logarithmic Functions
    • Derivatives of Exponential and Logarithmic Functions
    • Derivatives of Exponential and Logarithmic Functions
    • Derivatives of Exponential and Logarithmic Functions
    • Derivatives of Exponential Functions
    • Derivatives of Exponential Functions
    • Derivatives of Exponential Functions
    • Derivatives of Exponential Functions
    • Exponential and Logarithmic Functions
  • Deriv of Trig
    • Applications
    • Applications
    • Derivatives of Trig Functions
    • Derivatives of Trig Functions
    • Derivatives of Trig Functions: Applications
    • Derivatives of Trig Functions: Applications
    • Derivatives of Trig Functions: Applications
    • Derivatives of Trig Functions: Applications
    • Derivatives of Trig Functions: Applications
    • Derivatives of Trig Functions: Applications
    • Derivatives of Trig Functions: Applications
    • Derivatives of Trig Functions: Applications
    • Derivatives of Trigonometric Functions
  • Derivatives
    • Applications of Derivatives: Optimization
    • Applications of Derivatives: Optimization
    • Applications of Derivatives: Optimization
    • Applications of Derivatives: Optimization
    • Applications of Derivatives: Optimization
    • Derivatives – rrex1
      • Example 1
      • Example 1
      • Example 1
      • Example 1
    • Derivatives – rrex3
      • Related Rates
      • Related Rates
      • Related Rates
      • Related Rates
      • Related Rates
      • Related Rates
      • Related Rates
    • Example 1
      • Example 1
    • Example 1
    • Example 1
    • Graphing
    • Product Rule
    • Related Rates
      • Related Rates
  • Integration
    • Integration Applications
      • Applications: Electrical
        • Applications of Integration
        • Calculating charge from an equation for current
        • Calculating charge from an equation for current
        • Calculating charge from an equation for current
        • Calculating charge from an equation for current
        • Calculating the current in an inductor
        • Calculating the current in an inductor
        • Calculating the current in an inductor
        • Calculating the current in an inductor
        • Calculating the current in an inductor
        • Calculating the voltage across a capacitor
        • Calculating the voltage across a capacitor
        • Calculating the voltage across a capacitor
        • Calculating the voltage across a capacitor
        • Calculating the voltage across a capacitor
      • Applications: general work
        • Practice Problem
        • Practice Problem
        • Practice Problem
        • Practice Problem
        • Work Done by a Variable Force
        • Work Done by a Variable Force
        • Work Done by a Variable Force
        • Work of Lifting
      • Find the Area under a Curve
      • Pump work
        • Work Done by a Variable Force
        • Work Done by Pumping a Fluid
        • Work Done by Pumping a Fluid
      • Springs
        • Practice Problem 1
        • Practice Problem 1, 2
        • Practice Problem 2
        • Practice Problem 2
        • Work by the Force of a Spring
        • Work Done by the Force of a Spring
        • Work Done by the Force of a Spring
        • Work Done by the Force of a Spring
        • Work Done by the Force of a Spring
    • Integration Continued
    • Integration Continued
    • Integration Continued
    • Integration Continued
    • Integration Continued
      • Finding the Area under a Curve using Integration
        • Finding the Area under a Curve using Integration
    • Integration: Areas
      • Area Under
        • Practice Problems
      • Integration: Areas, between
        • Problem 1
        • Problem 2
        • Problem 3
        • Problem 4
        • Using Integration to find the Area between 2 Curves
    • Volumes
      • Disk
        • Thin Disk
        • Volume by Integration
        • Volume by Integration
        • Volume by Integration
        • Volume by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
      • Shell
        • Problem 1
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
        • Volumes by Integration
  • Media
  • Numerical Methods
    • ETGR 3272
    • ETGR 3272 Class List
    • UNC
    • UNCC Department of Engineering Technology
  • Partial derivatives
    • Min-Max Saddle
      • Example
      • Example
      • Example
      • Example
      • Example
      • Location of a Local Minimum
    • Partial Derivatives
    • Partial Derivatives
    • Partial Derivatives
    • Partial Derivatives
    • Partial Derivatives
    • Partial Derivatives
  • Problem sessions
    • EGET 3171
    • EGET 3171
    • EGET 3171
    • EGET 3171
    • EGET 3171
  • Problem Solving
    • Practice Problems
    • Problem Solving
    • Problem Solving
    • Problem Solving
    • Problem Solving
    • Problem Solving
    • Problem Solving
    • Problem Solving
    • Problem Solving
    • Problem Solving Example
  • Quilts
    • About Quilts
    • Album Quilt A quilt made of many different blocks
    • Here is my finished Log Cabin quilt square
    • How to make a quilt
    • Quilting patterns in the Underground Railroad
    • Quilts
    • Quilts
    • Then I cut the batting and the backing and layered them together
    • Then I sewed the pieces of cloth from the pattern together into a square
    • Then I used my pattern to cut out the cloth

Applications of Integration

Electrical Applications of Integration

  1. Calculating charge from an equation for current.
  2. Calculating the current in an inductor.
  3. Calculating the voltage across a capacitor.
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