Answer:
56 + 40
Step-by-step explanation:
multiply what is in the parenthesis, don't solve all the way because the instructions say to <em>simplify</em><em>.</em>
Answer:
29
Step-by-step explanation:
If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show

Let
. Compute the inverse:
![f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}](https://tex.z-dn.net/?f=f%5Cleft%28f%5E%7B-1%7D%28x%29%5Cright%29%20%3D%20%5Csqrt%7B1%20%2B%20f%5E%7B-1%7D%28x%29%5E3%7D%20%3D%20x%20%5Cimplies%20f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%5E2-1%7D)
and we immediately notice that
.
So, we can write the given integral as

Splitting up terms and replacing
in the first integral, we get

Answer: 
Step-by-step explanation:
The slope of a line equals to the difference between points' y-coordinates divided by the difference between their x-coordinates.
That is, if
and
are the point of a line,
Then the slope of the line is,

By the given diagram,
,
,
and 
Thus, the slope of the given line
= 
⇒ Fourth option is correct.