The answer is (1/2)xe^(2x) - (1/4)e^(2x) + C
Solution:
Since our given integrand is the product of the functions x and e^(2x), we can use the formula for integration by parts by choosing
u = x
dv/dx = e^(2x)
By differentiating u, we get
du/dx= 1
By integrating dv/dx= e^(2x), we have
v =∫e^(2x) dx = (1/2)e^(2x)
Then we substitute these values to the integration by parts formula:
∫ u(dv/dx) dx = uv −∫ v(du/dx) dx
∫ x e^(2x) dx = (x) (1/2)e^(2x) - ∫ ((1/2) e^(2x)) (1) dx
= (1/2)xe^(2x) - (1/2)∫[e^(2x)] dx
= (1/2)xe^(2x) - (1/2) (1/2)e^(2x) + C
where c is the constant of integration.
Therefore,
∫ x e^(2x) dx = (1/2)xe^(2x) - (1/4)e^(2x) + C
Your answer is 26,453
Although I don't feel as if this is a homework question, I will still show the work.
Work:
Step 1: 999 + 999 = 1,998
Step 2: 1,998 + 999 = 2,997
Step 3: 2,997 + 23,456 = 26,453
Hope I was able to help! :)
<h3>Hello There!!</h3>
<h3><u>Given,</u></h3>
Average Points= 20
No. of games = 6
Total points= 20×6=120
So, Sum of Score of five games= 23+18+16+24+27= 108
Therefore, Score in 6th game= 120-108= 12
<h3>Hope this helps</h3>
Answer:
I think that BC would be 10 degree angle because there are 180 degrees in a triangle and is A is 90 B is 60 and AB is 20 thats 170 leaving 10 left over
Step-by-step explanation:
