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:
8x+30=334
Step-by-step explanation:
X= the amount of cups he got and 30 is the initial fee so he only has to pay that once
Answer:
<u>Volume</u><u>:</u> 1135.82 yd³
<u>Surface Area</u><u>:</u> 657.12 yd²
Step-by-step explanation:
V = whl
12.2 · 9.8 · 9.5
1135.82
A = 2(wl + hl + hw)
2 · (12.2 · 9.5 + 9.8 · 9.5 + 9.8 · 12.2)
657.12
Answer:
4
Step-by-step explanation:
Mode is the number that appears most often
4 is the only number that appears more than once so it is the mode
