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
marysya [2.9K]
2 years ago
5

The steps to integrate this problem using trigonometric substitution.

Mathematics
1 answer:
ohaa [14]2 years ago
3 0

Answer:

I=\frac{x^3}{3(25x^2+1)^{3/2}}

Step-by-step explanation:

(a)

5x=tan{\theta}\\x = \frac{\tan{\theta}}{5}\\dx=\frac{1}{5}\sec^2{\theta}d\theta\\

I=\frac{1}{125}\int\frac{tan^2{\theta}sec^2{\theta}}{(tan^2{\theta}+1)^{5/2}}d\theta

I=\frac{1}{125}\int\frac{tan^2{\theta}sec^2{\theta}}{sec^5{\theta}}d\theta

I=\frac{1}{125}\int\frac{tan^2{\theta}}{sec^3{\theta}}d\theta

I=\frac{1}{125}\int\sin^2{\theta}{cos{\theta}}d\theta

I=\frac{1}{125}\int\sin^2{\theta}d\sin{\theta}

I=\frac{1}{125}\frac{1}{3}sin^3{\theta}}

I=\frac{1}{125}\frac{1}{3}(\frac{5x}{\sqrt{25x^2+1})})^3

You might be interested in
The function f(x)=x is vertically translated 1 unit up and then reflected across the y-axis. What's the new function g(x)?
vagabundo [1.1K]

hiwagafghtnaa ta hqa ha

8 0
3 years ago
You are purchasing drywall for a remodeling job. Mike’s Drywall charges a delivery fee of $25 and charges $10 per
Zielflug [23.3K]

Answer:

12.5 sheets; $150

Step-by-step explanation:

4 0
3 years ago
What is 24/30 simplified
tatyana61 [14]

Answer:

4/5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Calculate the gross pay per paycheck for C. D. Edgeling, who makes an annual salary of $30,000 and is paid biweekly.?
son4ous [18]
If you get paid a salary, and you want to know the weekly amount of pay, you need to determine the number of weeks in a year. Sure, you might say "But that's 52 weeks". Wrong. There are 365.25 days in a year (364 but then an extra day every 4th or leap year) There are 7 days in a week. So the number of weeks in a year is: 365.25/7 = 52.1785715285714 weeks This is usually rounded to 2<span>decimal places: 52.18 weeks Therefore, for a salary of 60 000 p.a., </span>
4 0
3 years ago
HELPPPP PLEASE!!!! Don't understand
iragen [17]

Answer: 20% is your answer


Step-by-step explanation:

180-150=30

30 divided by 150 = .2 which is 20%

7 0
3 years ago
Read 2 more answers
Other questions:
  • X<br><img src="https://tex.z-dn.net/?f=x%200.8265%20%3D%2045%20" id="TexFormula1" title="x 0.8265 = 45 " alt="x 0.8265 = 45 " al
    7·1 answer
  • Which should I choose​
    13·1 answer
  • lily can travel 60 miles in 1.5 hours. If her speed is reduced by 5 mph,how har can she travel in 3 hours
    15·2 answers
  • Someone plz help me. I'm really confused.
    11·2 answers
  • Margie couculated she would spend $175on school supply’s this year. She actually spent $96.50. What was margies percent of error
    10·1 answer
  • The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.
    9·1 answer
  • F(x)= -2x^2 - 5 and f(2)= -13<br><br> can someone solve this in steps please?
    10·2 answers
  • I don't understand these questions, could someone please help??
    12·1 answer
  • PLEASE HELP ME
    11·2 answers
  • Whats this? Conjugate???
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!