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Make it more general, and see what happens when you try to reduce the exponent of
x in the following integral:

Now, integrate it by parts:


where

So after one iteration, the exponent of
x was decreased by one unit.
The question is:
after how many iterations will the exponent of x equals zero? After exactly
k iterations, of course.
Therefore, for
k = 7, you have to apply integration by parts
7 times, to get rid of that polynomial factor. Then, there will be one last integral left to evaluate:

But this one doesn't need to be evaluated by parts. You can directly write the result:

Shortly, for the integral

you have to apply integration by parts
7 times (not
8 times).
I hope this helps. =)
Tags: <em>indefinite integral integration by parts reduction formula product polynomial exponential differential integral calculus</em>
7y+2(5y-9)=16
7y+10y-18=16
17y=34
y=2
5(2)-9=x
10-9=x
x=1
Answer:
-16.5 is the amount of distance he jumped and went down
Step-by-step explanation:
Answer:
<u><em>The </em></u><u><em>area of the right triangle</em></u><u><em> is </em></u><u><em>100 centimeters squared.</em></u>
Step-by-step explanation:
<u><em>The </em></u><u><em>formula for the area of a right triangle is:</em></u>

<u><em>Area = (a*b) / 2</em></u>
<u><em>The height of a triangle is represented by a. The base is represented by b.</em></u>
<u><em>Knowing this, we can use what they give us for the values, by </em></u><u><em>plugging them into the formula</em></u><u><em>.</em></u>
<u><em>a is 20 cenimeters</em></u>
<u><em>b is 10 centimeters</em></u>
<u><em>Therefore :</em></u>


<u><em>So, the </em></u><u><em>area of the right triangle</em></u><u><em> is</em></u><u><em> 100 centimeters squared.</em></u>
Answer:
The graph move up 5.
Step-by-step explanation:
When we add a constant to the end of a parabola, it shifts the graph up and down. Since the constant here is positive, the graph moves up by that number (5)