Picture needed. not enough info
I think it’s b y=2 sorry if it’s wrong
Answer:
none
Step-by-step explanation:
any value on y cancel 4y and then we will have -12=12 which is not true.
F(x) = x² - 1
f(2a) = 35
f(2a) = (2a)² - 1 = 35
4a² - 1 = 35
4a² = 35 + 1
4a² = 36
a² = 36/4
a² = 9
a = √9
a = +3 or -3.
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
