Question

is 12sin(x^2/47) integratable?

Answer 1

not in terms of an elementary function no.

Answer 2

if this fxn was a rate fxn of oil leaving a tank, and i have a rate fxn for oil coming into a tank, how would i find out the volume in the tank if the initial amount in the tank is 125gallons?

Answer 3

how would i do so without integrating??

Answer 4

integrating is not the act of antidifferentiation. it is entirely possible to integrate without having the antiderivative

Answer 5

if you have the time, could you please elaborate? i thought integrating and antidiff were the same???

Answer 6

integrating is finding the area under a function, this is done by choosing the unique number inbetween the "lower sums" and the "upper sums" to be defined as it's area and it is always evaluated between two points. an antiderivative is like the set of all integrals for that function, and the only reason we can even say they are equal is because of something called the fundamental theorem of calculus.

Answer 7

ok, yes. thank you.