Calculus/Integration
< Calculus
The definite integral of a function f(x) from x=0 to x=a is equal to the area under the curve from 0 to a.
Basics of Integration
4.1 Definite integral 4.2 Fundamental Theorem of Calculus 4.3 Indefinite integral 4.4 Improper Integrals
Integration Techniques
From bottom to top:
- an acceleration function a(t);
- the integral of the acceleration is the velocity function v(t);
- and the integral of the velocity is the distance function s(t).
4.6 Derivative Rules and the Substitution Rule
4.8 Trigonometric Substitutions
4.10 Rational Functions by Partial Fraction Decomposition
4.11 Tangent Half Angle Substitution
4.14 Numerical Approximations 4.15 Exercises
Applications of Integration
4.16 Area 4.17 Volume 4.18 Volume of solids of revolution 4.19 Arc length
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