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]
3 years ago
7

Integral of sec (3x) tan (3x) dx

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0
\int {sec (3x)tan(3x)} \, dx= \int { \frac{1}{cos(3x)}* \frac{sin(3x)}{cos(3x)}  } \, dxSubstitution:u=cos(3x), du=-3sin(3x)dx, sin(3x)dx= du/-3 Integral becomes:\frac{-1}{3} *\int { \frac{1}{ u^{2} } } \, du= \frac{-1}{3} \int {u^{-2} } \, du=\frac{ u^{-1} }{3}= \frac{1}{3u}= \frac{1}{3cos(3x)}+C 
You might be interested in
a ski chalet offers 2 weekend packages. one package provides 2 nights and 3 meals for$280. the other provides 2 nights and 5 mea
Helga [31]


<span> <span>1st</span></span><span> formula 2n + 3m = 280
</span><span><span>
</span><span>2nd</span></span><span> formula 2n + 5m = 320
</span><span><span>
</span><span>rearrange 1st</span> formula to equal n:</span>

    <span><span>2n = -3m + 280
</span>      </span><span>n = -3/2 m + 140
</span><span><span>
</span><span>rearrange 2nd</span> formula to equal n:</span>

 <span><span>2n = -5m + 320
</span> </span><span>n = -5/2m + 160
</span><span><span> so now you have

</span>-3/2m + 140 = -5/2m + 160 </span>

<span><span>Rearrange to become:
</span> </span><span><span>-3/2m + 5/2m = 160 - 140
</span> </span><span>m = 20
</span><span>
</span>

<span>Now place 20 into the very 1st</span><span><span> equation in place of the letter m
</span> </span><span><span>2n + 3(20) = 280
</span> </span><span><span>2n + 60 = 280
</span> </span><span><span>2n = 220
</span> </span><span>n = 110
</span><span><span>
</span>so it costs $110 per night, $20 per meal</span>


8 0
4 years ago
What is the surface area of the rectangular prism
elena-s [515]

Answer:

348in^{2}

Step-by-step explanation:

9x8=72

9x6=54

8x6=48

72+72=144

54+54=108

48+48=96

144+108=252

252+96=348

Hence, counting the WHOLE surface are of the rectangular prism, the answer is 348in^{2}

7 0
3 years ago
Read 2 more answers
What's the y intercept of the following equation?<br> 10y = 20x + 30
nikklg [1K]

Answer:

10y = 20y + 30 \\ y = 2y + 3 \\ y \: intercep = 3

3 0
3 years ago
Bananas are being sold for $0.59 a pound at Store A and $0.55 a pound at Store B. A customer wants to buy 10 pounds of bananas.
andre [41]

Answer:

The customer saves 5.9 - 5.5 = $0.5

when he shops at store B

Step-by-step explanation:

Stores A and B sells bananas at different prices per pound.

Bananas are being sold for $0.59 a pound at Store A and $0.55 a pound at Store B.

If a customer wants to buy 10 pounds of bananas from store A and store B,

The customer would spend 0.59 × 10 pounds of bananas = $5.9

buying from store A and

The customer would spend 0.55 × 10 pounds of bananas = $5.5

buying from store B.

The customer spends more for 10 pounds of bananas if he buys from shop A.

The customer saves 5.9 - 5.5 = $0.5

when he shops at store B

8 0
4 years ago
Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box.
solniwko [45]

Answer:

box contains - 3

Step-by-step explanation:

a(x - 3) + 2x = -(x - 5) +4              Remove the brackets on both sides

ax - 3a + 2x = -x + 5   + 4             Subtract 2x from both sides.

ax - 3a + 2x - 2x = -x - 2x + 9

ax - 3a = - 3x + 9

ax - 3(-3) = - 3x + 9

ax + 9 = - 3x + 9

Now if you make a = -3 then both sides with have - 3 for the x coefficient.

Any number could be put in for x and it will make the answer on both sides equal. Notice you could subtract 9 from both sides and it will not change the condition of the problem.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me, this is due in 2 hours!! :-)
    12·1 answer
  • The set {...-3,-2,-1,0,1,2,3,...}
    6·1 answer
  • a running tap dispenses 0.15 gallons of water every second. how many pints of water is dispensed after 20 seconds?
    15·2 answers
  • X + 5 = 1<br> — <br> 4. Step by step please help!!!
    5·2 answers
  • Joey, who is 8 years old, is a star player for his school's basketball team. His latest shot is shown on the graph, which repres
    11·2 answers
  • The plot below shows the amount of time Mira spent on maths questions. If Mira had spent the same total amount of time, but spen
    15·1 answer
  • if you are a boy and you broke up with your gf but she was the best gf you ever had and you broke up because you were the one wh
    6·2 answers
  • 111111111111111111111111111111111111111
    5·2 answers
  • Henry and saul live 14 miles apart. saul and claire live 20 miles apart. which value is not a possible distance between henry an
    10·1 answer
  • Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!