How do you do this question?
1 answer:
Answer:
∫ₑ°° 1 / (x (ln x)¹⁰) dx
∫₁°° x⁻³ dx
Step-by-step explanation:
A p-series 1 / xᵖ converges if p > 1.
∫ₑ°° 1 / (x (ln x)¹⁰) dx
If u = ln x, then du = 1/x dx.
When x = e, u = 1. When x = ∞, u = ∞.
= ∫₁°° 1 / (u¹⁰) du
p = 10, converges
∫₁₀°° x^(-⅔) dx
= ∫₁₀°° 1 / (x^⅔) dx
p = ⅔, diverges
∫₁°° 2 / x^0.5 dx
= 2 ∫₁°° 1 / x^0.5 dx
p = 0.5, diverges
∫₁°° x⁻³ dx
= ∫₁°° 1 / x³ dx
p = 3, converges
∫₂°° 1/(3x) dx
= ⅓ ∫₂°° 1/x dx
p = 1, diverges
You might be interested in
Answer:
3 rooms
Step-by-step explanation:
1 1/4x3=3 3/4
or...
3 3/4 divided by 1 1/4 = 3
57+3x+6=90degree
60+3x=90
3x=90-60
3x=30
x=30/3
x=10
Add 8 on both sides in order to isolate n:
-3 + 8 < n - 8 + 8
5 < n
The answer is circled in yellow.
