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
Naddik [55]
3 years ago
14

Evaluate the integral by making the given substitution. (use c for the constant of integration.) sec2(1/x9) x10 dx, u = 1/x9

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

\frac{1}{-9}tan \frac{1}{x^9} + c

Step-by-step explanation:

The question requires addition information. Below is how the question should be rightly stated.

        \int\limits {\frac{sec^{2}(\frac{1}{x^9})}{ x^{10} } } \, dx   ------(1)

Using substitution method,

We are given u =\frac{1}{x^{9}}                   -------(2)

                      ⇒ u =x^{-9}

Differentiating u with respect to x,

                      \frac{du}{dx} = -9x^{-9-1}

                      \frac{du}{dx} = -9x^{-10}

Making dx the subject of the equation

                      dx =\frac{du}{-9x^{-10}}

                      dx =\frac{x^{10}du}{-9}                         ---------(3)

Substituting the values of u from equation (2) and dx from equation (3) into equation (1)

                      \int\limits {\frac{sec^{2}u}{x^{10}}} . \frac{x^{10}}{-9} \, du

                      \int\limits {\frac{sec^{2}u}{-9}} \, du

                      \frac{1}{-9}\int\limits {sec^{2}u \, du

                      \frac{1}{-9}tanu + c

substituting the value of u

                      \frac{1}{-9}tan \frac{1}{x^9} + c

 

You might be interested in
Does anyone know how to do this
Natalka [10]

Answer:

the reason is they are equal to each other because they are both right angle triangle

7 0
3 years ago
Which expression represents a factorization of 32m + 56m​
luda_lava [24]

Answer:

8m(4+7p)

Step-by-step explanation:

32m = 4*8*m

56 mp = 7*8*m*p

We can factor out an 8m.  What is left goes inside the parentheses

32m + 56mp

8m(4+7p)

5 0
3 years ago
F
Vilka [71]
I think it should be F=45
3 0
2 years ago
What is the y-intercept of the function f(x) = –2/9x + 1/3?
marishachu [46]
<span>f(x) = –2/9x + 1/3
</span>y -intercept when x = 0
so
f(x) = –2/9(0) + 1/3 then f(x) = 1/3

answer
<span>y-intercept </span>(0, 1/3)
4 0
3 years ago
Read 2 more answers
Need emergency help!!
Dafna1 [17]
A. 18.99 b 16.676 c 30.11 d 13.801 can't answer the rest right now I'm getting ready for school
5 0
3 years ago
Other questions:
  • Which statements are true about the standard normal distribution? The standard normal distribution is______.
    6·1 answer
  • Josh is watering his plants. He gives each of 2 plants 3/5 pint of water. His watering can holds 1/5 pint. How many times will h
    15·1 answer
  • What is the volume of the composite figure shown? (Use 3.14 for π.)
    12·1 answer
  • 9,277,414 The 7 in the thousands place is _____ the value of the 7 in the ten thousands place A. 10x B. 100x C. 1/10 D.1/100 E.
    6·1 answer
  • Biologists estimate that the number of animal species of a certain body length is inversely proportional to the square of the bo
    14·1 answer
  • Line segment ON is perpendicular to line segment ML.
    12·1 answer
  • Help me Ill Give Brainliest
    5·1 answer
  • PQRS is a parallelogram <br> Explain why Use CER to assist in your argument
    14·1 answer
  • PLS HELP ME WITH THIS
    13·1 answer
  • N is an integer with -5 &lt;2n&lt; 6<br> Write down all the values of n
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!