
please show work? DETAILS SCALCCC4 8.7.050. Use series to approximate the definite integral I to within...
Please use power series to
solve this!!!
And also please write out ALL work to this problem as I need to
understand exactly how you got to your answer.
Use series to approximate the definite integral I to within the indicated accuracy. I = -6°*xerox (lerror] < 0.001) I =
please show work?
DETAILS SCALCCC4 8.4.005. Test the series for convergence or divergence. (If the quantity diverges, enter DIVERGES.) .(-1)"-1 3n+1 lim 1 n-3n + 1 convergent divergent
17 Use a power series to approximate the definite integral, \(I\), to six decimal places.$$ \int_{0}^{0.4} \frac{x^{5}}{1+x^{7}} d x $$Find the radius of convergence, \(R\), of the series.$$ \sum_{n=1}^{\infty} \frac{x^{n+4}}{4 n !} $$$$ R= $$Find the interval, \(I\), of convergence of the series. (Enter your answer using interval notation.) \(I=\)
16) Approximate the definite integral using power series. If the antiderivative obtained is an alternating series, use the Alternating Series Estimation Theorem to ensure the error is less than 0.001; otherwise, use at least four nonzero terms to approximate the integral. (a) { er at 6) ſ'cos(x) dx
In the following, we will tse a kmown power series to approximate 1/2 arctan(r) dr to within 0.00001 of the actual value of the definite integral (a) [2pt] Use a known power series representation to express (ctan(x) as a Maclaurin series. What is the radius of the series convergence? 1/2 (b) [4pts] Use your answer from part (a) to express(r) dr as an alternating series (c) [6pts] Your series in part (b) will converge by the Alternating Series Test. (You...
show all work please
5) In each case, setup a definite integral that when evaluated gives the volume of the solid generated when the region pictured below is rotated about the indicated me. Use the method indicated. You need not evaluate these integrals. (8 pts) x=2 y= x+2 a) About the line x=2; Disks b) About the line y = 4; Rings
For each indefinite integral, evaluate the integral. For each
definite
integral, evaluate the integral or show that it is
divergent.
******Please try not to use U-sub, I do not understand how the
online step by step calculators solve using
4. a and b
8+2x2 r(arctan(x))dx
8+2x2 r(arctan(x))dx
For this assignment, you submit answers by question parts. The number of submissions remain Assignment Scoring Your best submission for each question part is used for your score. 26. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.10.060. Use series to approximate the definite integral I to within the indicated accuracy. -0.5 I = 6** ex dx (l'error] < 0.001) I= Need Help? Read it Talk to a Tutor Submit Answer View Previous
Question Details SCalcET8 5.3.504.XP.MI 12. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. cos(V5t) dt G(x) G'(x) = Show My Work (Optional) Question Details SCalcET8 5.2.074 6. Express the limit as a definite integral. n 9 lim 1 1 (i/n) nco n j = 1 1 dx JO Show My Work (Optional)
Question Details SCalcET8 5.3.504.XP.MI 12. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the...
Use a power series to approximate the value of the integral with an error of less than 0.0001. (Round your answer to four decimal places.) no Submit Answer ViewSaved Work Revert to Last Response