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
astraxan [27]
3 years ago
5

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = 7x u2 − 1 u2 + 1 du 6x Hint: 7x

f(u) du 6x = 0 f(u) du 6x + 7x f(u) du 0
Mathematics
1 answer:
VikaD [51]3 years ago
8 0

It looks like you're given

g(x)=\displaystyle\int_{6x}^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du

Then by the additivity of definite integrals this is the same as

g(x)=\displaystyle\int_0^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du-\int_0^{6x}\frac{u^2-1}{u^2+1}\,\mathrm du

(presumably this is what the hint suggests to use)

Then by the fundamental theorem of calculus, we have

\dfrac{\mathrm dg}{\mathrm dx}=7\dfrac{(7x)^2-1}{(7x)^2+1}-6\dfrac{(6x)^2-1}{(6x)^2+1}=\dfrac{1764x^4+169x^2-1}{1764x^4+85x^2+1}

You might be interested in
Find the area of the triangle that divides the parallelogram in half.​
nignag [31]

equation: 1/2bh

workings...

13x9= 117

117/2=58.5

answer: 58.5cm^2

4 0
3 years ago
39,975 + 6.5% tax rate every month
Mumz [18]

1014.065 hope this helps

3 0
3 years ago
What is the answer for the following equation?<br><br>53 x 65 + 36 ÷ 5 = ?<br>​
svet-max [94.6K]

Answer:

3452.2

Step-by-step explanation:

3452.2

6 0
2 years ago
Read 2 more answers
In a new video game, Franky had -16 1/2 points. He was able to earn 3/4 of the points he lost back. How many points did he have?
lyudmila [28]

Answer:

slightly confused on the wording if he got back 3/4 from 16.5 then he earned back 12.375 points

if -16.5 is the 1/4 he didnt get back then he had 66 points

Step-by-step explanation:

7 0
2 years ago
Estimate the percentage: 6,683 of 20,489<br> a. 0.3% c. 3%<br> b. 43.3% d. 33.3% Explain
Katarina [22]

Answer:

b

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Henry's brother is bigger and now his crib must be lowered. Once it's lowered, the m &lt;2 is 30°. What are the rest of the angl
    8·1 answer
  • If y’all can just help a girl out this hard on everything
    11·2 answers
  • 13. SOLVE FOR X<br> 21)<br> 18<br> 21<br> x+ 13<br> A) 8<br> C) 7<br> 28<br> B) 11<br> D) 6
    6·1 answer
  • When writing an equation in slope-intercept form, you need the values of the
    5·1 answer
  • A statistical quality control process for cereal production measures the weight of a cereal box. The population standard deviati
    7·1 answer
  • What is the value of x?<br> (Not multiple choice)
    12·2 answers
  • Please help i am desperate
    13·1 answer
  • Classify the triangle based on the side lengths 7. 15 and 21​
    14·1 answer
  • If two terms of an arithmetic sequence are a11 = 23 and a15 = −5, what is a28?
    8·1 answer
  • 10a²+4= -186<br> Very easy quick points
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!