| Definition and Properties |
The Geometric Definition of Definite Integrals
The Algebraic Definition of Definite Integrals
Properties of Definite Integrals
| Fundamental Theorems of Calculus |
The First Fundamental Theorem of Calculus
The Second Fundamental Theorem of Calculus
| Techniques of Integration |
Substitution Method
Integration by Parts
| Second Fundamental Theorem of Calculus |
| Key Topics Remaining: Substitution Method » Integration by Parts |
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Theorem. If f (x) is continuous on a closed interval [a, b] and f (x) is a primitive of f (x) on [a, b] then Proof. Set x = a to find the constant C: Hence, Setting x = b, get the desired result: |
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.The Fundamental Theorems of Calculus states interrelations between definite and indefinite integrals.
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