Question

Integral limit:

Answer 1

\[\lim_{x \rightarrow 0}\frac{ 1 }{x^3}\int\limits_{0}^{x}\frac{ t \ln (1+t) }{ t^4+4 } dt\]

Answer 2

I got 1/12 .

Answer 3

thats correct.

Answer 4

Yes!!!

Answer 5

That was a tough one to solve O_o .

Answer 6

used L'Hopital's rule, right ?

Answer 7

Yep! And FTC.