What is #f(x) = int (x^2+x)/((x+1)(x-1) ) dx# if #f(3)=2 #?
1 Answer
Apr 20, 2018
Explanation:
Given:
Factor the numerator of the integrand:
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Add 0 to the numerator in the form of
Separate into two fractions:
The first fraction becomes 1:
The integrals of the two terms are well know:
Evaluate at
Solve for C:
This is function that satisfies the boundary condition,