Step-by-step explanation:
∫₋₂² (f(x) + 6) dx
Split the integral:
∫₋₂² f(x) dx + ∫₋₂² 6 dx
Graphically, if f(-x) = -f(x), then ∫₋₂² f(x) dx = 0. But we can also show this algebraically.
Split the first integral:
∫₋₂⁰ f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx
Using substitution, write the first integral in terms of -x.
∫₂⁰ f(-x) d(-x) + ∫₀² f(x) dx + ∫₋₂² 6 dx
-∫₂⁰ f(-x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx
Flip the limits and multiply by -1.
∫₀² f(-x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx
Rewrite f(-x) as -f(x).
∫₀² -f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx
-∫₀² f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx
The integrals cancel out:
∫₋₂² 6 dx
Evaluating:
6x |₋₂²
6 (2 − (-2))
24
Neither of them are functions. Functions cannot have two of the same numbers in the x value, and since the first table has two 5s in the x column and the second table has two 7s, neither of them can be functions.
Hope this helps :)
It's similar because u still with have an answer weather its a decimal or not. And it's different because when your multiplying whole number u will just get whole numbers.
Answer:
x=0 ,y=3
if you have any questions about the way I solved it,don't hesitate to ask
<u>Given</u>:
The base of each triangular base is 42 m.
The height of each triangular base is 20 m.
The sides of the triangle are 29 m each.
The height of the triangular prism is 16 m.
We need to determine the surface area of the triangular prism.
<u>Surface area of the triangular prism:</u>
The surface area of the triangular prism can be determined using the formula,
where b is the base of the triangle,
h is the height of the triangle,
s₁, s₂ and s₃ are sides of the triangle and
H is the height of the prism.
Substituting the values, we get;
Thus, the surface area of the triangular prism is 2440 m²
