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Chapter 5 Integration. Indefinite Integral or Antiderivative. Find the Particular Solution or Solve the Differential Equation. Change into a differential equation. Integrate both sides of the equation. Find c by plugging in the coordinate. Replace c and write the particular solution.
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Chapter 5 Integration
Indefinite Integral or Antiderivative
Find the Particular Solution or Solve the Differential Equation
Change into a differential equation. Integrate both sides of the equation. Find c by plugging in the coordinate. Replace c and write the particular solution.
1st Fundamental Theorem of Calculus Definite Integral or Area Under the Curve on the interval [a,b]
Approximate the Area Under a Curve Using a Left-Sided Sum
Approximate the Area Under a Curve Using a Right-Sided Sum
Approximate the Area Under a Curve Using a Midpoint Sum
Approximate the Area Under a Curve Using a Trapezoid Sum
Mean Value Theorem (MVT) or Average Value
Mean Value Theorem Average Value
Find the x value where you get the Average Value
Find the Average Value. Set the original function equal to the Average Value. Solve for x.
2nd Fundamental Theorem of Calculus
U-Substitution or Change of Variables
Find Definite Integral Using U-Substitution or Change of Variables