Calculate the integral accurate to within 0.001 (use Maclauren series) 0.1 2-6x2 dx.
Evaluate the Maclaurin series representing the integral.
0.1 0 )-1 cos 2x dx
0.1 0 )-1 cos 2x dx
1. Find the indefinite integral and check the result by differentiation. 4x4 – 6x2 - dx
Consider the integral 1 To vita dx V1 + x3 (a) Write out the first four non-zero terms of the MacLaurin series for the above integral. (b) Write out the first four non-zero terms of the series for 1 so dx V1 + x3 (c) How many terms of the above series should we add together to estimate p1/2 dc V1 + x3 within 0.001? 1
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
Sec6.5: Problem 6 Previous Problem List Next (2 points) Book Problem 17 4, to approximate the integral 7e dx (a) Use the Midpoint Rule, with n MA (Round your answers to six decimal places.) (b) Compute the value of the definite integral in part (a) using your calculator, such as MATH 9 on the TI83/84 or 2ND 7 on the TI-89. 7edx (c) The error involved in the approximation of part (a) is Ем — Те ах Ма (d) The...
Use the Integral Test to determine whether the series is
convergent or divergent. ∞ n n2 + 8 n = 1 Evaluate the following
integral. ∞ 1 x x2 + 8 dx Since the integral finite, the series is
.
Use the Integral Test to determine whether the series is convergent or divergent. n2 8 Evaluate the following integral. OO dx Since the integral ---Select--- finite, the series is ---Select---
Use the integral Test to determine the convergence or divergence of the following series, or state that the conditions of the test are not satisfied and therefore 2 ke- Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. Since the integral dx converges to the series also converges. (Type an exact answer.) OB. Since the integral xe ** dx diverges, the series also diverges O c. The Integral Test does...
Confirm that the Integral Test can be applied to the series. Then use the Integral Test to Στη [***??? dx = converges diverges Need Help? Master it Talk to a Tutor
True or False: The infinite series 1 +0.1 +0.01 +0.001 +... is divergent True or False: If an diverges, then a, diverges
Calculate the indefinite integral s-2/x dx