Answer:
-5x - 1
Step-by-step explanation:
Step 1: Write expression
(-6x + 2) + (x - 3)
Step 2: Combine like terms
-5x - 1
I have the same book Anyway wish I can help , had the same problem but our teacher said not to do fair share IM SO VERY SORRRY I MEAN IT
-24 = 14y - 5
First, add 5 to both sides. / Your problem should look like: -24 + 5 = 14y
Second, simplify -24 + 5 to get -19. / Your problem should look like: -19 = 14y
Third, divide both sides by 14. / Your problem should look like:
Fourth, switch sides. / Your problem should look like: y =
Answer as fraction: y =
Answer as decimal: y = -1.3571
1.
x y
0 0
1 2
2 4
3 6
2. y = 2x+0 (or just y = 2x )
3. The slope is 2
Hope this helped!
Answer:
∫ x²Lnx dx = 1/3 [ x³Lnx - (1/3)x³] + C
Step-by-step explanation:
∫ x²Lnx dx
Integration by parts:
if we have u*v then D(u*v) = v*du + u*dv (1)
We make changes of variables :
Lnx dx = du then u = xLnx - x
v = x² then dv = 2xdx
And
∫ x²Lnx dx becomes ∫vdu
According to expression (1)
∫vdu = u*v - ∫udv
Now by substitution
∫vdu = x² ( xLnx - x ) - ∫( xLnx - x) 2xdx
∫ x²Lnx dx = x² ( xLnx - x ) - ∫ 2x²Lnxdx + ∫2x²dx
∫ x²Lnx dx = x² ( xLnx - x ) - 2 ∫x²Lnxdx + 2 (x³/3) + C
∫ x²Lnx dx + 2 ∫x²Lnxdx = x² ( xLnx - x ) + 2 (x³/3) + C
3 ∫ x²Lnx dx = x³Lnx -x³ + 2/3)x³ +C
∫ x²Lnx dx = 1/3 [ x³Lnx - (1/3)x³] + C