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
Answer: 20 lawns
Multiply each by 5 times for 20 yay woo hoo
The mean of this dataset is: 6
Answer:
The probability is 0.05.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In a certain study comma the chances of encountering a car crash on the road are stated as "1 in 20."
This means that in 20 times you go out on the road, in 1 of them you are expected to encounter a car crash.
This means that
The probability is 0.05.
Answer: x = 6, Angle ABC = 45, Angle DBC = 34
Step-by-step explanation:
79 = (5x + 4) + (8x - 3)
79 = 13x + 1
78 = 13x
x = 6
8x - 3 plug in 6 for x
8(6) - 3
Angle ABC = 45
5x + 4 plug in 6 for x
5(6) + 4
Angle DBC = 34
