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GSXtuner21

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I am new to this forum, and was wondering if anyone could help me with a homework problem I am having.

1. Consider the Integral, int(h(x)dx)=c, integrated from lower limit "a" and upper limit "b".

where "a" is unknown and 0<a<b, c>0, h(x)>0, a<=x<=b.

Task: Develop a general expression for determining "a" by a Newton-Raphson procedure, assuming that b,c,h(x) are known.

2. Homework Equations

I know I need to derive the NR equation below in order to solve for the unknown lower limit.

A(p+1)=A(p) -[f(Ap)/f ' (Ap)]

I am just not sure how to apply the integral of a function to the NR method. Any help will be greatly appreciated!