Vertical Integration Cross- Section P(y)dy =P(x)dx Disk Method Solid of Revolution DONUT! Washer Method 3/2∫[f(x)- g(x)] dx Differential Equation Solution Curve Axis of Revolution ∫[f(x)- g(x)] dx Exponential Growth /Decay 1/2∫[f(x)- g(x)] dx π∫ R(x) - r(x) dx Newton's Law of Cooling ∫[f(x)- g(x)] Horizontal Integration Slope Field π Particular Solution General Solution π/8∫[f(x)- g(x)] dx Integration Vertical Integration Cross- Section P(y)dy =P(x)dx Disk Method Solid of Revolution DONUT! Washer Method 3/2∫[f(x)- g(x)] dx Differential Equation Solution Curve Axis of Revolution ∫[f(x)- g(x)] dx Exponential Growth /Decay 1/2∫[f(x)- g(x)] dx π∫ R(x) - r(x) dx Newton's Law of Cooling ∫[f(x)- g(x)] Horizontal Integration Slope Field π Particular Solution General Solution π/8∫[f(x)- g(x)] dx Integration
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Vertical Integration
Cross-Section
P(y)dy =P(x)dx
Disk Method
Solid of Revolution
DONUT!
Washer Method
3/2∫[f(x)-g(x)] dx
Differential Equation
Solution Curve
Axis of Revolution
∫[f(x)-g(x)] dx
Exponential Growth /Decay
1/2∫[f(x)-g(x)] dx
π∫ R(x) - r(x) dx
Newton's Law of Cooling
∫[f(x)-g(x)]
Horizontal Integration
Slope Field
π
Particular Solution
General Solution
π/8∫[f(x)-g(x)] dx
Integration