I have two related questions. The first is: Is there a closed form expression for: int_0^1(1-t)/((t-2)\ln t)dt~~0.507834 I know that there are some very superb integrators on this site. I doubt that a closed form exists, but I may be wrong. If I'm wrong, I'm curious as to how you got your answer! Second question: Is there an elementary function f(t) such that: exp(int_0^1(1-t)/((t-2)ln t)dt)=int_0^1f(t)dt That value is approximately 1.66169. I am very interested in this value. The expression on the left is a great way to express this number. But, I feel like it would be "cleaner" if I could express it simply as an integral, like on the right.

$\frac{20b}{{\left(4b^3\right)}^3}$

Which operation could we perform in order to find the number of milliseconds in a year??
${\displaystyle 60\cdot 60\cdot 24\cdot 7\cdot 365}$
${\displaystyle 1000\cdot 60\cdot 60\cdot 24\cdot 365}$
${\displaystyle 24\cdot 60\cdot 100\cdot 7\cdot 52}$
${\displaystyle 1000\cdot 60\cdot 24\cdot 7\cdot 52?}$

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A) No
B) 0
C) Yes
D) 6

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149600000000 is equal to
A)$1.496\times <!--\; \times \; -->{10}^{11}$
B)$1.496\times <!--\; \times \; -->{10}^{10}$
C)$1.496\times <!--\; \times \; -->{10}^{12}$
D)$1.496\times <!--\; \times \; -->{10}^8$

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What is the square root of ${\displaystyle \frac{144}{169}}$