The answer should be "filtration" because distillation is for liquids. Filtration filters out the unwanted products.
Answer:
(x^4-8)^45 /180 +c
Step-by-step explanation:
If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.
If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.
Now we are ready to make substitutions into our integral.
Int(x^3 (x^4-8)^44 dx)
Int(((x^4-8)^44 x^3 dx)
Int(u^44 du/4)
1/4 Int(u^44 dul
1/4 × (u^45 / 45 )+c
Put back in terms of x:
1/4 × (x^4-8)^45/45 +c
We could multiply those fractions
(x^4-8)^45 /180 +c
Answer:
2.750
Step-by-step explanation:
First, have the answer as a fraction. It is in eighths.
Answer as a fraction is 6/8.
Divide 8 from 6.
6/8=0.75 add 2.
Since it is between 2 and 3, add 2 to the answer.
Answer as decimal is 2.750
Hope this helps!
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