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
Rus_ich [418]
3 years ago
15

EXAMPLE 5 Evaluate the iterated integral 5 0 5 x sin(y2) dy dx. SOLUTION If we try to evaluate the integral as it stands, we are

faced with the task of first evaluating sin(y2) dy. But it's impossible to do so in finite terms since sin(y2) dy is not an elementary function. So we must change the order of integration. This is accomplished by first expressing the given iterated integral as a double integral. Using this equation backward, we have 5 0 5 x sin(y2) dy dx
Mathematics
1 answer:
Dimas [21]3 years ago
6 0

\displaystyle\int_0^5\int_x^5\sin(y^2)\,\mathrm dy\,\mathrm dx

The integration region is the triangle in the x,y plane bounded by the lines y=5, y=x, and x=0. Reversing the order of integration, this is equal to

\displaystyle\int_0^5\int_0^y\sin(y^2)\,\mathrm dx\,\mathrm dy=\int_0^5y\sin(y^2)\,\mathrm dy

For the remaining integral, let u=y^2\implies\mathrm du=2y\,\mathrm dy:

\displaystyle\int_0^5y\sin(y^2)\,\mathrm dy=\frac12\int_0^{25}\sin u\,\mathrm du=-\frac12\cos u\bigg|_0^{25}=\frac{1-\cos(25)}2

You might be interested in
Refer to the figure below to complete the following item. Given: Quadrilateral ROSE is trapezoid with median If MN = 24 and ES =
STatiana [176]
<span>18 is you answer. Hope this helps.</span>
4 0
3 years ago
Read 2 more answers
Plzzz help me yall due soon
Inessa [10]

Answer:

the answer is d ur welcome.

4 0
2 years ago
Read 2 more answers
The solution set for the equation of a circle is all the_____ on the circle.
zalisa [80]
The answer to your question is ( points ).
5 0
1 year ago
Peirce swims 10 laps in a pool in 8 minutes how much time does it take him to swim 1 lap
Jobisdone [24]

10 laps in 8 minutes

--------------------------------

              10

1 lap in 8/10 (4/5) of a minute

Answer is B, 8/10 minute!

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

7 0
3 years ago
Which parallelogram has an area of 60 square units? Select the correct
faust18 [17]
Wait what is what which number goes to what letter
8 0
3 years ago
Other questions:
  • Consider the function f(x)=8-3x^2. Find the value of f(x) when x=3 and select the correct answer below.
    12·2 answers
  • Does anyone know how to do this?
    12·1 answer
  • The Baltimore Aquarium requires 3 adult chaperones for every 15 students on a field trip. How many chaperones would be needed fo
    12·1 answer
  • Calculate the length of the circumference of a circle with diameter of 2.6cm (2dp)
    13·2 answers
  • Line segment AB measures 18 unit
    15·1 answer
  • A flower garden has been designed with an L-shaped walkway and viewing area around two sides as shown.
    9·1 answer
  • 6+8d=7d solve for d.
    10·2 answers
  • Can you help A B C Or D image is here
    5·2 answers
  • A family has 5 children. Compute the probabilities of the following events:
    13·2 answers
  • (b) 1-5 P<br> W<br> I=0+90/1<br> 081=1+0S..<br> 65°<br> f<br> O<br> 32°<br> (c)<br> POE<br> R
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!