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
Scilla [17]
2 years ago
12

Calculus - need work shown

Mathematics
2 answers:
Trava [24]2 years ago
7 0

\frac{ - 1}{2} [\cos(8x(x + 3))]+ c

Cloud [144]2 years ago
7 0

Answer:

\large \text{$ -\dfrac{1}{2}\cos (8x^2+24x) + C $}

Step-by-step explanation:

\large \displaystyle\begin{aligned}\textsf{let }\:u & =8x^2+24x\\\\\implies \dfrac{du}{dx} & =16x+24\\ & =2(8x+12)\\\\\implies dx & =\dfrac{1}{2(8x+12)}\: du\\\end{aligned}

\large\displaystyle\begin{aligned}\int (8x+12) \sin (8x^2+24x)\:dx & = \int (8x+12) \sin (u) \cdot \dfrac{1}{2(8x+12)}\:du\\\\& = \int \dfrac{(8x+12)\sin (u)}{2(8x+12)}\:du\\\\& = \int \dfrac{1}{2}\sin (u)\:du\\\\& = -\dfrac{1}{2}\cos (u) + C\\\\& = -\dfrac{1}{2}\cos (8x^2+24x) + C\\\\\end{aligned}

You might be interested in
What is the perimeter of this shape? Use numbers only.
aniked [119]

Answer:

30 m

Step-by-step explanation:

You simply add the lengths of all the sides. 3 m is not needed for this.

8 0
2 years ago
Read 2 more answers
Pls answer this and I will mark it as brainlisti
Anna11 [10]

Answer:$2175

Step-by-step explanation:

set up an equation

15x+675

15(100) +675= 2175

15 is the additional cost per person

675 is the renting fee for the building

100 is the number of people attending

Hope this helps

5 0
3 years ago
Read 2 more answers
One recipe makes 8 1/2 cups of potato salad. If one serving is 1/2 cup, how many servings does the recipe make?
Aleonysh [2.5K]

Answer:

17

Step-by-step explanation:

8.5 / 0.5

7 0
2 years ago
Help me. what is three and one half times one and two thirds
Natali [406]

Answer:

3 1/2 × 1 2/3 = 5 5/6.

5 0
2 years ago
Read 2 more answers
What is the answer to 8=56, 7=42, 6=30, 5=20, 3=?
ozzi
8(7) = 56
7(6) = 42
6(5) = 30
5(4) = 20
4(3) = 12
3(2) = 6
∴ 3 = 6
7 0
2 years ago
Other questions:
  • 9/16 = x/12<br>x-3/18 = 12/9<br>7/11 = 18/x+1<br>3x-4/14 = 9/10<br>Simplify​
    10·1 answer
  • A random sample of 157 recent donations at a certain blood bank reveals that 86 were type A blood. Does this suggest that the ac
    14·1 answer
  • There are 60 girls and 90 boys in the sixth grade at a middle school. What percent of the sixth graders at this middle school ar
    8·1 answer
  • Need help.................
    14·1 answer
  • A group conducted a poll of 2025 likely voters just prior to an election. The results of the survey indicated that candidate A w
    5·1 answer
  • Helppp pleaseeeee!!!!!!!!
    6·1 answer
  • One month Kevin rented 2 movies and 6 video games for a total of $38. The next month he
    12·1 answer
  • The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78
    14·2 answers
  • Can someone please tell me if this is right!
    13·1 answer
  • The vertex of a parabola is (0,0)and the focus is (1/8, 0) . What is the equation of the parabola?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!