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Program in fortran to find the value of integration of the function [(1-x^2)^1/2]*cosx by Trapezoidal rule

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!       Program in fortran to find the value of integration of the
!       function [(1-x^2)^1/2]*cosx by Trapezoidal rule
        write(*,*)'Enter the lower and upper limits respectively:'
        read(*,*)a,b
        Write(*,*)'Enter the number of sub intervals (n):'
        read(*,*)n
        sum=f(a)+f(b)
        h=(b-a)/n
        do i=1,n-1
        sum=sum+2.0*f(a+i*h)
        end do
        sum=sum*h/2.0
        write(*,11)sum
11    format(2x,'The value of the integration corrected upto six decimal places
is',f16.6)
        end

!       Program sub function
        function f(x)
        f=(sqrt(1-x*x))*cos(x)
        return
        end
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