## Applications of Integration

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.

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**Read more topics........**

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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