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
'karen is making 14 different kinds of greeting cards she is making 12 of each kind how many greeting cards does she making'
ok so that is multiplication
14 times 12 since it is 12 of each and 14 of them so
14 times 12=
do you guys still do multiplication by the tower meathod or such if so, here it is
14
<span><u>12 x</u>
</span>
so it is
if you had
a b
<u>c</u><span><u> d x</u></span>
(ad)(bd)
<u>(bc)(ac) +</u>
result
first you do
2 times 4 then place it below the 2
14
<span><u>12 x</u>
</span> 8
then you do 2 times 1 then place it below
14
<span><u>12 x</u>
</span>28
then you move on the the one
1 times 4
14
<span><span><u>12 x</u>
</span>28
4
then 1 times 1<span>
</span></span> 14
<span><span> <u>12 x</u>
</span> 28
14
</span>
then we add
14
<span><span> <u>12 x</u>
</span> 28
<u>14 +</u></span>
168
answer is 168
Answer:
paying for a drum set in six months and receiving the drum set today -apex
Step-by-step explanation:
Answer:
r≈2.26in
Step-by-step explanation:
