1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
trasher [3.6K]
3 years ago
6

Find the values of p for which the following integral converges:

Mathematics
1 answer:
sweet [91]3 years ago
7 0

Answer:

Step-by-step explanation:

Find the values of p for which the following integral converges:

∫[infinity]e 1/(x(ln(x))^p)dx

Input youranswer by writing it as an interval. Enter brackets or parentheses in the first and fourth blanks as appropriate, and enter the interval endpoints in the second and third blanks. Use INF and NINF (in upper-case letters) for positive and negative infinity if needed. If the improper integral diverges for all p, type an upper-case "D" in every blank.

​Values of p are in the interval ,

For the values of p at which the integral converges, evaluate it. Integral =

Recall that

\int\limits^{\infty}_1 \frac{1}{x^p}  dx

converge if p > 1  and converge to \frac{1}{p-1} and divertgent if p ≤ 1

Now, let u = Inx ⇒ du = 1/x dx

: e ≤ x ≤ ∞ ⇒ 1 ≤ u < ∞

⇒ \int\limits^{\infty}_e \frac{dx}{x(Inx)^p} = \int\limits^{\infty}_1 {x} \frac{du}{u^p}

converge if p > 1  and converge to \frac{1}{p-1} and divertgent if p ≤ 1

\text {Integral}=\frac{1}{p-1}

You might be interested in
HELP ME THANKS ;) for number 1 through 11 QUICKLY
stiv31 [10]
1>>g
2>>e
3>>h
4>>f
5>>b
6>j
7>>k
8>>c
9>>I
10>>d
11>>a
;)
4 0
3 years ago
Evaluate 3(x - 4) + 2x - x? for x = 5.<br> A. - 12 <br>B. -4 <br>Ć. 40 <br> D.0​
Xelga [282]

Answer:

8

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Given m∥n, find the value of x.
ELEN [110]

Answer:

53°

Step-by-step explanation:

Of the two lines are parallel then x = 53°

7 0
3 years ago
Solve the equation using the distributive property and properties of equality. One-half (x + 6) = 18 What is the value of x? 6 7
butalik [34]

Answer:

The value of x is 30.

We have to find the value of x in the given equation.  

Using distributive property  

We have,

1/2(x+6)=18\\a.(b+c)=a.b+a.c\\1/2(x+3)=18\\1/2x=15\\x=3

other are also solve by this methode;)

6 0
3 years ago
Read 2 more answers
7 students have 8 books each. Which helps you find the total number of
Firdavs [7]

Answer:

7x8

Step-by-step explanation:

none of those seem right

4 0
2 years ago
Read 2 more answers
Other questions:
  • If you wish to have $60,000 in 8 years, how much do you need to deposit in the bank today if the account pays 9% using present v
    7·1 answer
  • Mr Ferguson reads 1/10 of a book to his class each day what fraction of the book has mr Ferguson read to the class after 5 days
    15·1 answer
  • I need help with one, two, three, four and five
    5·1 answer
  • (5x + 6x3 + 2x) - (3x - 2x3 - 7x2) is equivalent to:
    8·1 answer
  • Match the following.
    8·1 answer
  • HELP<br><br> subtract -4/5 - 2/3<br><br> A -22/15<br><br> B -3/4<br><br> C -2/5<br><br> D 8/15
    5·1 answer
  • Help ill give brainiest pls
    10·2 answers
  • A fast food restaurant was selling 77 boxes of chicken nuggets for 25.90. A competing restaurant was selling 33 boxes of chicken
    6·1 answer
  • Please help in integral calculus
    15·2 answers
  • Edgar is getting better at math. On his first quiz he scored 57 points, then he scored 61 and 65 on his next two quizzes. If his
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!