Step-by-step explanation:
6|8-y|-15
6|8-10|-15
6|-2|-15
6(2)-15
12-15
-3
Answer:
-10
Step-by-step explanation:
since the answer is positive, we need a negative number, if we use -10,two negatives makes a positive, so it becomes
-8 +10=2
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
5 is a prime number because there's no number that can go into 5 but 1 and 5
Do you do 3x+10=5x so the answer would be x=5 plug in 5 for whatever you have to solve