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
yaroslaw [1]
3 years ago
8

Integrate sin²2x cos²2xdx

Mathematics
1 answer:
Masteriza [31]3 years ago
3 0
\sin^2x=\dfrac{1-\cos2x}2
\cos^2x=\dfrac{1+\cos2x}2

From the identities above, you have

\sin^22x\cos^22x=\dfrac{(1-\cos4x)(1+\cos4x)}4=\dfrac{1-\cos^24x}4

Applying once more, you have

\dfrac{1-\cos^24x}4=\dfrac{1-\dfrac{1+\cos8x}2}4=\dfrac{1-\cos8x}8

So,

\displaystyle\int\sin^22x\cos^22x\,\mathrm dx=\frac18\int(1-\cos8x)\,\mathrm dx=\frac x8-\frac1{64}\sin8x+C
You might be interested in
Please help 15 points
Gre4nikov [31]

Answer:

i really don’t know ,

sorry , I’m so sorry

7 0
3 years ago
Please help hurry please like now any body
Soloha48 [4]
12 down is decagon. 7 down is mode. I think 5 down is slope. 13 down is prime. 3 down might be variable. 10 down should be equation. Hope these are right!
7 0
3 years ago
6 times 72 divided by 32
Fudgin [204]

Answer:

13.5

Step-by-step explanation:

8 0
3 years ago
What are the factors of 7x + 5x + 12 + 23
emmainna [20.7K]

Answer:

7, x, 5, and x

Step-by-step explanation:

factors are numbers or variables being multiplied by something else. 12 and 23 arent being multiplied by anything

4 0
3 years ago
A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The busine
VikaD [51]
In order to get as many tickets they need 15 business class tickets and 12 economy class tickets (700x15=10,500)(375x12=4500) Which when you add those two makes 15,000.
4 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of the measures of two complementary angles is 90 degrees. If one angle measures 39 degrees more than 2 times the measur
    10·1 answer
  • Tom has 100 baseball cards and 120 football cards. What is the ratio of baseball cards to football cards?
    15·1 answer
  • Can anyone pls help me in this pls
    7·2 answers
  • 2. A pet food company wants to know the number of pets owned by adults ages 21 to 70. The frequency table shows the data from a
    6·1 answer
  • The total cost after sales tax to fix Azar’s computer is represented by the expression 0.08(55h) + 55h, where h represents the n
    13·1 answer
  • Solve the following system of equations using the substitution method.
    10·1 answer
  • Between 20 to 35 degrees north latitude, and also between 20 to 35 degrees south latitude are found:
    5·1 answer
  • Solve using Pythagoras Theorem (please)​
    10·1 answer
  • Find the domain and range of the function. ​f(x)=24+x^2
    14·1 answer
  • HELP PLEASE IM HORRIBLE WILL GIVE A BRAIN LIST IF RIGHT
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!