Definite integral is a form of Integral or Anti derivative in which we don’t get a range of answer or indefinite answer , Instead we get a fixed or definite answer.
Definite Integral Formula:
We can calculate or evaluate a definite integral using the definite integral formula which states that:
We can prove the formula using the fundamental theorem of calculus which states that:
If “f” is continuous function and , then ,
Now let us prove the definite integral formula with the help of fundamental theorem of calculus,
As “a” is a constant obviously we get “F(a) = 0″.
And as, “F” and are antiderivatives of same function “f” , they differ by a constant “c” as stated in antiderivatives .
For some constant “c”.
And we also have,
Example of Definite Integrals:
We can evaluate definite integrals using the same techniques of integration we used while evaluating indefinite integrals.
One example of definite integral is:
We can easily evaluate this integral using Integration Formulas .
So we get:
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