Answer:
Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>
If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.
<u>Given integral</u>:
Factor the denominator:
Take partial fractions of the given fraction by writing out the fraction as an identity:
Calculate the values of A and C using substitution:
Therefore:
Compare constants to find B:
Substitute the found values of A, B and C:
Use <u>Integration by Substitution</u>:
Therefore:
Substitute back in u = (x - 1):
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