Applications of Integration
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February 29, 2016 |
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Applications of
Integration
we explore some of
the applications of the definite integral by using it for
Computing the area
between curves,
Computing the volumes
of solids,
Computing the work
done by a varying force,
Computing average
value of a function,
The common theme is
the following general method, which is similar to the one we used to find areas
under curves:
We break up a Q quantity into a large
number of small parts. We next approximate each small part by a quantity of the
form and thus approximate Q by a Riemann sum.
Then we take the limit and express Q as an integral Finally we evaluate the integral using the
Fundamental Theorem of Calculus or the Midpoint Rule.
To read this file click here ....
some-important-formulas-of-integration
solving-models-related-to-ordinary differential equation
differentiation-of-exponential-functions
area-between-curve
vector
application-of-derivatives
homogenous-differential-equation
inverse-trigonometry-questions
integration
integration-questions
Rolles-theorem-and-mean-value-theorem
Techniques-of-integration-substitution
critical-points-and-point-of-inflection
intermediate-value-theorem
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