Calculus/Calculus

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Expert: Scotto - 6/21/2009


Question
If f(x) = 3x2, then F(x) =

A) 6x
B) x3
C) x3 + C
D) 6x + C  

Answer
I understand that f(x) = 3x².

Since F(x) is used for ∫f(x)dx, it can be seen that there are no limits, which means there must be a '+ C' on the final result.
That limits the choices to (C) or (D).

It is also known that integration increases the power on x,
which mens that we are looking for a power of 2+1 = 3.
Since we are down to (C) and (D), the power in (C) is 3 and the power in (D) is 1.  Since we are looking for a 3, is is (C).


The other approach is knowing how to do the problem.
To integrate, add one to the power and divide by the new power.
Since the current power is 2, the new power is 3 and the entire expression is divided by 3.  Since there is a 3 in the expression already, it is known that 3/3 is 1, so that disappears and the answer is x^3.  '+ C' is added since there are no limits'

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Scotto

Expertise

Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.

Experience

Experience in the area: I have tutored students in all areas of mathematics for over 25 years. Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors. Awards and Honors: I have passed Actuarial tests 100, 110, and 135.

Publications
Maybe not a publication, but I have respond to well oveer 7,500 questions on the PC. Well over 2,000 of them have been in calculus.

Education/Credentials
I aquired well over 40 hours of upper division courses. This was well over the number that were required. I graduated with honors in both my BS and MS degree from Oregon State University. I was allowed to jump into a few junior level courses my sophomore year.

Awards and Honors
I have been nominated as the expert of the month several times. All of my scores right now are at least a 9.8 average (out of 10).

Past/Present Clients
My past clients have been students at OSU, students at the college in South Seattle, referals from a company, friends and aquantenances, people from my church, and people like you from all over the world.

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