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:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 4 = 
(x - 1) ← is in point- slope form
with slope m =
and (a, b) = (1, 4 ) ← point on the line
Answer:
x² - 6x = -5
x = {1, 5}
Step-by-step explanation:
The square of a number minus six times a number equals negative five.
x² - 6x = -5
Add 5 to both sides
x² - 6x + 5 = 0
Factor
(x - 1)(x - 5) = 0
x = {1, 5}
Answer:
0.8
Step-by-step explanation:
i believe it would be 56/7000 and you multiply your answer 0.008 by 100 so 0.8 had a mild reaction
which class is this because I am in 7th class so that's why I can't give
