SOLUTION: If g(x) is real valued function such that 3.x^5 + 96 = integration of g(t)dt from c to x, for each real number x where c is constant. Find value of c?

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Question 1181071: If g(x) is real valued function such that 3.x^5 + 96 = integration of g(t)dt from c to x, for each real number x where c is constant. Find value of c?
Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.

At x = c, the right side is zero.


Hence, left side must be zero at x= c:


    3c%5E5+%2B+96= 0,


which implies  c%5E5 = -96%2F3 = -32;  hence,  c = -2.    ANSWER

Solved, answered and carefully explained.