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
Papessa [141]
3 years ago
5

Integrate sec(4x)tan(4x)dx

Advanced Placement (AP)
1 answer:
emmainna [20.7K]3 years ago
4 0

Answer:

sec(4x) + C

Explanation:

original problem: ∫sec(4x)tan(x)dx

use integration by substitution (u-sub) by setting u = 4x

if u = 4x, then du/dx = 4 and du = 4dx (dx = du/4)

after substitution the integral is ∫sec(u)tan(u)(du/4)

move the 1/4 out of the integral by using the integral Constant rule to form 1/4∫sec(u)tan(u)du

the anti-derivative of sec(u)tan(u) is sec(u), memorize your trigonometric derivatives!!!!

after integration, we get sec(u)/4 + C , now plug u back into the equation

sec(4x) + C is the general solution

You might be interested in
How is a line of credit different from other types of loans?
Tanzania [10]
A line of credit<span> is similar to a </span>credit<span> card in that it is a flexible borrowing solution. You can draw on this revolving </span>loan<span> simply by writing a check. 

</span>
4 0
3 years ago
What is the source talking about? Is it post-war population increase?
Assoli18 [71]
A spectacular population increase has accompanied the west coast’s industrial revolution. The Portland metropolitan area showed a 31 per cent increase in population since 1940; the Seattle area shows an increase in population for the same period of 200,000; and an estimated 1,500,000 people have entered California since 1940. Since most industrial activity on the west coast is confined to the manufacture of aircraft and the construction of ships, sharp curtailment of employment is threatened in the post-war period. With a population increase of 14 per cent, California, for example, faces the problem of shifting 1,500,000 workers from war activities to civilian jobs after the war. . . .

The typical white defense migrant is a young man, twenty-five years of age or younger, married, from a small town or rural area in the Pacific Northwest, anxious to settle in the area, and primarily interested in industrial employment in the post-war period. A study made recently in the Kaiser yards in Portland indicates that only 23.6 per cent of the migrants expressed a definite intention to leave after the war; that only a very few have maintained economic ties elsewhere or have jobs to which they might return; that considerable numbers have purchased property in the area; that a majority have their families with them; and that 86 per cent must find new employment immediately after their present employment terminates.
6 0
3 years ago
HELP PLEASE!!!!
cupoosta [38]
<span>Left
1.The country is hit by a
natural disaster that
destroys its infrastructure. 
</span><span>2.There is an acute shortage
of teachers in several of the
country’s states.

Right
</span><span>1.The government starts 50
new medical clinics in rural
areas.
</span><span>2.Seven computer hardware
companies set up new
manufacturing units in the
country.</span>
6 0
3 years ago
Read 2 more answers
True or False: Concurrent enrollment course grades will appear on high school transcripts but not college transcripts.
Greeley [361]
False i think... but idek honestly
8 0
2 years ago
Read 2 more answers
Why would smiling make you feel better according to theories about emotion
bezimeni [28]

Smiling .. just makes people happier because smiling is a happy thin so u can start thinking happy and then it makes you happier ?? Idk that’s a guess

7 0
3 years ago
Other questions:
  • Which situation best describes an opportunity cost?
    9·1 answer
  • To reduce the likelihood of back pain, use a safe ______ technique. Adjust your chair’s lumbar support. Avoid awkward twisting p
    7·1 answer
  • Which of the following statements concerning the Japanese political system after World War II is most accurate?
    6·2 answers
  • Territorial insects like spiders that fight off intruders would be expected to be __________.
    7·1 answer
  • Which is a surgical procedure used to stop bleeding?
    8·1 answer
  • How did the Supreme Court majority argue the law of "separate but equal" was not discrimination? Check all of the boxes that app
    8·2 answers
  • ASAP TODAY What does Diamond say about why societies FAIL to solve their problems?
    6·1 answer
  • Please i really need help on this
    11·1 answer
  • Explain why critical thinking and skepticism are important to scientific inquiry
    6·2 answers
  • Southern tick-associated rash illness (STARI) is a disease often carried by deer ticks in the southern United States. Which sent
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!