Question 127226: Write the following rule as a formula using function notation: Tuition cost in dollars is sixty-five times the number of credit hours.
Write the following rule as a formula using function notation: Tuition cost in dollars is sixty-five times the number of credit hours.
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Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The answer that I have come up with is: (e -1).2:
The problem is what are the exact evaluation of, (integral sign), 2xe^(x^2) dx over the intervals (0, 1). I feel this is not correct, can you verify that for me please?
Answer: e^x^2 evaluated at 1 minus e^x^2 evaluated at 0
= e-1
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Also please, I have determined that In x is not the correct completion of the formula, (integral sign), (1/x). Is that correct, or should I do more research on this subject?
Answer: ln(x) + C because you want the indefinite integral, and C might
always be part of the function that was differentiated to arrive at
an answer of ln(x).
Example: The derivative of f(x) = ln(x) +2 is the same as the derivative
of f(x)= ln(x) + 5
So when you integrate ln(x) you should write ln(x)+C to cover all the
possible constants that might be part of the answer.
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It's a different story when you take the definite integral from x=a to
x=b because you subtract out the constant that may have been part of
the function.
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Cheers,
Stan H.
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