so, is
F(x) = ∫[1,3x] ln(t^2) dt
or
F(x) = ∫[1,3x] (ln t)^2 dt
?
Either way,
f(x) = F'(x) = ln(3x)^2 * 3
or
f(x) = F'(x) = (ln 3x)^2 * 3
And F" = f'
Recall that the 2nd Fundamental Theorem of Calculus says that if
F(x) = ∫[a,g(x)] f(t) dt
then
F'(x) = f(g(x)) * g'(x)
Let F of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. Use your calculator to find F″(1).
3 answers
it's 6 just did the test.
what test??? please help