calculate integral
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8. Evaluate the indefinite integral: S(5x3 + 2 cos x )dx a. b. S(4x3 – 8x + 7) dx
QUESTION 8 Work the integral. Х dx S 1- x2
(1 point) Consider the integral - 5x dx 1 + x2 If the integral is divergent, type an upper-case "D". Otherwise, evaluate the integral. (1 point) Determine whether the sequence {V17n + 14 - V17n} converges or diverges. If it converges, find the limit. Converges (y/n): Limit (if it exists, blank otherwise): (1 point) Find the limit of the sequence: 1n+ 9n + 8 an 2n2 + 3n + 8 =
Use Green's Theorem to evaluate the line integral ſc 543 dx – 5x3 dywhere C is the positively oriented circle 22 + y2 = 16. Enter the integral including limits of integration that you find after applying Green's Theorem. Also, enter the value you find after evaluating the integral.
Evaluate the following integral using trigonometric substitution. dx s 3 2 (529 + x2) dx 3 2 (529 +x2) (Type an exact answer.)
Consider the integral le -5x 1 + x2 dx If the integral is divergent, type an upper-case "D". Otherwise, evaluate the integral.
Given the integral below, do the following. 2 cos(x2) dx Exercise (a) Find the approximations T4 and M4 for the given interval. Step 1 The Midpoint Rule says that b f(x) dx = Mn Ax[f(+1) + f(22) + ... + f(n)] with ax = . b - a + n a 1 We need to estimate 6 2 cos(x2) dx with n = 4 subintervals. For this, 1 - 0 Ax = 4 = 1/4 1/4 Step 2 Let žų...
Calculate the iterated integral. $$***/x2 + yż dy dx 2 (2017) – ) - 150 Need Help? Read It
Evaluate the following integral. X2 + 16x-4 S*** dx x2 - 4x Find the partial fraction decomposition of the integrand. 1 * +18 x2 + 16x-4 dx = x² - 4x JOdx Evaluate the indefinite integral. *x? + 16x-4 dx = 3 х - 4x
(2) Calculate the following integrals: х 2.x3 – 4x + 3 -dx (x + 1)2(x2 +1) Java 2 - 25 2 dx x4V x2 – 25 (3) Explain why, using the techniques we've learned so far, we are able to calculate the integral of any rational function. (A rational function is one of the form p(x) where g(x2) p and q are polynomials.)