Rather than carrying out IBP several times, let's establish a more general result. Let
One round of IBP, setting
gives
This is called a power-reduction formula. We could try solving for explicitly, but no need. is small enough to just expand as much as we need to.
Finally,
so we end up with
and the antiderivative is
Answer:
64/19
OR
3 7/19
depending on how you need to write it
Step-by-step explanation:
Answer:
f(g(5)) = 16.5
Step-by-step explanation:
To calculate f(g(5)), evaluate g(5) then substitute the value obtained into f(x)
g(5) = × 5 = 2.5 , then
f(2.5) = 5(2.5) + 4 = 12.5 + 4 = 16.5
Answer:
the second option and x=20