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Lelu [443]
3 years ago
14

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).

Mathematics
2 answers:
eduard3 years ago
7 0
Reading that as

F(x)=\displaystyle\int_1^{3x}(\ln t)^2\,\mathrm dt

By the fundamental theorem of calculus, the first derivative is

F'(x)=3(\ln(3x))^2

and so the second derivative would be

F''(x)=\dfrac{6\ln(3x)}x

which means

F''(1)=6\ln3
Sindrei [870]3 years ago
5 0

Answer: answer is 6

Step-by-step explanation:

Took the test and got it correct !

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