4. What is integration: 5
An integral where the limits are specified is called a
definite integral.
The integral is said to be over the interval [a, b].
the integral is called an indefinite integral
5. Techniques of integration
As we have seen Integration is more challenging than
differentiation.
If finding the derivative of a function it is obvious
which differentiation formula we should apply.
However it may not be obvious which technique we
should use to integrate a given function.
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6. When do we use it
Trigonometric substitution is used when you have
problems involving square roots with two terms under
the radical.
you will make one of the substitutions below
depending on what's inside your radical.
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8. 9
some real-life applications of integration
Alternative approach to quantum mechanics. Can be
particularly useful for study of quantum chaos, I
believe.
High energy/particle physics. Quantum
electrodynamics, chromo dynamics, Standard Model etc.
Condensed matter field theories (phonon-electron
interactions in crystals, e.g.)