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
miv72 [106K]
3 years ago
15

id="TexFormula1" title=" \int\limits^5_1 { \frac{lnR}{ R^{2} } \, dR " alt=" \int\limits^5_1 { \frac{lnR}{ R^{2} } \, dR " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
alex41 [277]3 years ago
5 0
Integrate by parts, setting

\begin{matrix}u=\ln R&&\mathrm dv=\dfrac{\mathrm dR}{R^2}\\\mathrm du=\dfrac{\mathrm dR}R&&v=-\dfrac1R\end{matrix}

So the integral is

\displaystyle\int_1^5\frac{\ln R}{R^2}\,\mathrm dR=-\dfrac{\ln R}R\bigg|_{R=1}^{R=5}+\int_1^5\frac{\mathrm dR}{R^2}
\displaystyle\int_1^5\frac{\ln R}{R^2}\,\mathrm dR=-\left(\frac{\ln5}5-\frac{\ln1}1)-\frac1R\bigg|_{R=1}^{R=5}
\displaystyle\int_1^5\frac{\ln R}{R^2}\,\mathrm dR=-\frac{\ln5}5-\left(\frac15-1\right)
\displaystyle\int_1^5\frac{\ln R}{R^2}\,\mathrm dR=\frac15(4-\ln5)
You might be interested in
Please help.<br> Is algebra.<br> PLEASE HELP NO LINKS OR FILES
BabaBlast [244]
Question 9. d

Question 10. b

Question 11.b
3 0
2 years ago
Read 2 more answers
Scarlett is practicing math fluency. She has 100 math operation flashcards with 42 addition problem cards, 56 subtraction cards,
vichka [17]

Answer:

C

Step-by-step explanation:

Bro don’t trust me

4 0
2 years ago
LAST QUESTION!! PLEASE HELP!
DIA [1.3K]
7. previously answered in another question, but last choice is correct

8.  yes a diameter is a chord. A chord is any line that connects 2 points on a circle

7 0
3 years ago
Find the absolute value of 6/8
saul85 [17]

Answer:

0.75

Step-by-step explanation:

6 / 8 =

0.75

7 0
3 years ago
Estimate the percent using decimals.<br> 48% of 400
Alecsey [184]

Step-by-step explanation:

getcalc.com's fraction to decimal calculator to find what's an equivalent decimal for the fractional number 48/400.

50/400 0.125 12.5%

49/400 0.1225 12.25%

48/400 0.12 12%

47/400 0.1175 11.75%

3 0
2 years ago
Read 2 more answers
Other questions:
  • I Need Help With This Question
    14·2 answers
  • The sum of two numbers is 19. Three times the larger is 3 more than 6 times the smaller. Find the numbers.
    8·1 answer
  • 1/4 a=40 please show work ( thanks so much )
    7·1 answer
  • 9 times a number increased by 2
    7·2 answers
  • I need hell with this :(
    5·1 answer
  • . In April, it rained 1/4 of an inch on 15 different days. How many inches of rain fell
    7·1 answer
  • If There
    12·1 answer
  • Please answer ill give brainliest for best answer!!
    5·1 answer
  • *PLEASE ANSWER!!! QUICK*
    7·1 answer
  • Free Promo Moneybag Yo - Fire?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!