If ‘F(x)’ is an integral of f(x)



If ‘F(x)’ is an integral of f(x)

[pic][pic]

Where ‘C’ is the constant of integration.

But for definite integral in the interval say [a,b]

It is expressed in the following way;

[pic]-----(1)

For applying the limit firstly put x=b in F(x)+C such that we get “F(b)+C” then from this subtracting “F(a)+C”

Now again from above equation (1)

[pic]

[pic]---------(2)

For f(x)=Sinx in [a,b]=[0,π]

Since its integral is F(x)=-Cosx

So by using (2),

[pic]

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