Answer:
False
Step-by-step explanation:
In this case, i woudnt reccomend to use integration by parts, becuase you are not simplifying the expression by doing an integration and a derivation. It is not easy to integrate 1/x³+1, and if you derivate it, then a natural logarithm would appear, and the integral wont be easier after this parts step.
It is a better idea to use integration by substitution. Note that if you replace x³+1 by a variable y, we have that dy = 3x² dx. We can easily make a 3xdx appear in the integral by multiplying and dividing by 3, solving the integral easily:
(Note that, if x ranges from 0 to 1, then u = x³+1 ranges from 0³+1 = 1 to 1³+1 = 2)
Answer:
sweet
Step-by-step explanation:
This took 80 minutes
I think it's higher because as far as the integer gets, the higher its absolute value gets. So, put higher in the blank.
We are trying to represent the change in position of a bird flying down 7 ft to the ground.
Often, for the y axis- up is positive and down is negative.
Change in position is displacement- how far it was from the starting point
( different from distance which is how far is traveled
ex. doubling back would have distance they traveled some distance while the displacement is 0 because they are back to where they started).
The bird is going down 7 ft from where it originally was, which can be represented by
Bird's displacement = -7 ft
Answer:
81.12 cm²
Step-by-step explanation:
The area for a semicircle can be figured with this formula: (πr²)/2. The triangle's area formula is bh/2.
(3.14 * 4²)/2 + (14 * 8)/2 <em>(Work the operations in parentheses first.)</em>
(3.14 * 16)/2 + 112/2
50.24/2 + 112/2 (<em>Divide 50.24 by 2. Do the same for 112.)</em>
25.12 + 56 (<em>Add 25.12 & 56.)</em>
81.12 cm²
The area of the figure is 81.12 cm².