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
kondaur [170]
2 years ago
7

Evaluate the indefinite integral as a power series. t 1 − t7 dt

Mathematics
1 answer:
sammy [17]2 years ago
4 0
Given

\int\limits { \frac{t}{1-t^7} } \, dt

Recall that the general geometric series representation is given by

\Sigma_0^\infty x^k= \frac{1}{1-x}

Let x=t^7

Thus,

\frac{1}{1-t^7}=\Sigma_0^\infty (t^7)^k=\Sigma_0^\infty t^{7k}

Multiply both sides by t, to get

\frac{1}{1-t^7}=\Sigma_0^\infty t^{7k+1}

Integrate both sides to get

\int { \frac{t}{1-t^7} } \, dt=\Sigma_0^\infty  \frac{t^{7k+2}}{7k+2}
You might be interested in
Which is the best method to use in the following situation?
Jet001 [13]

Answer:

A Substitution

Step-by-step explanation:

Trust me were doing this in math

6 0
2 years ago
A number and its absolute value are equal. If you subtract two from the number, the new number and its absolute value are not eq
r-ruslan [8.4K]

A number and its absolute value are not equal when the number is less than zero. Since subtracting 2 makes the number less than zero, we know ...

... the number is a non-negative number less than 2. (0 ≤ n < 2)

5 0
2 years ago
Jack birthday is in 6 weeks how many day is it until jacks birthday? Complete the explanation on how you could use a number line
Pie

Answer:

42 days

Step-by-step explanation:

1 week equals 7 days

7 × 6 = 42

4 0
3 years ago
Which situation results in a final value of zero?
Anna [14]
C.
2.5mi to someplace then coming back is 0
4 0
3 years ago
Read 2 more answers
Which of the following describes the scenario below?
Temka [501]
NznzjzjzbzbzbjzkzjsavsvbsjsjJJsbsvsvzzbnzjzjjjbsjksiskwjsbsbvszbziidksbebsbeksiqoqlqpqppqisjdndnnlcosjwbsbsqoqpoeiesudbnxnznlanckvkvlppqwkjdnxkxpspqijrfjncxnkdls
6 0
3 years ago
Other questions:
  • Which shows the expressions in the order they would appear on a number line from least to greatest?
    15·1 answer
  • Dr. Stein bought 30 notebooks, 60 pencils and 300 erasers to make identical packages with some notebooks, some pencils and some
    7·2 answers
  • 0.6 times 2.2 in decimal model
    5·2 answers
  • The table shows your scores in a skateboarding competition. The leader has 311.62 points. Select the equation that you can use t
    11·1 answer
  • 50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
    11·2 answers
  • Answer the question correctly for good luck
    13·1 answer
  • Trapezoid TUVM is rotated 90 counterclockwise about the origin. After the rotation, what is the location of vertex V?
    7·1 answer
  • Use graphing technology to find the range of the function f(x)=-x^2+4.f(x)=−x <br> 2<br> +4.
    6·1 answer
  • Will mark the brainliest hurry!!!!!
    8·1 answer
  • What was the lower quartile of the number of absences?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!