Definite integrals are the extension after indefinite integrals, definite integrals have limits [a, b]. It gives the area of a curve bounded between given limits.
, It denotes the area of curve F(x) bounded between a and b, where a is the lower limit and b is the upper limit.
Note: If f is a continuous function defined on the closed interval [a, b] and F be an anti derivative of f. Then
Here, the function f needs to be well defined and continuous in [a, b].
Example:
Solution:
Properties of definite integrals –
These properties can be used directly to find the value of particular definite integral and also interchange to other forms if required.
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