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No 13 and 14 (a) Find an approximation to the integral [** (x2 - 4x) dx...
2. a) Find an approximation to the integral (%(x2 - 4x) dx using a Riemann sum with right endpoints and n=4. b-a and x,-a +Ax. Use this to b) Using the definition ()dx = lim Žf(x7)Ar, where Ar = ? evaluate 1, (x2 - 4x) dx
Use the form of the definition of the integral given in the theorem to evaluate the integral. | Previous Answers SCalcET8 5.2.026. Ask Your Teacher 6. 2/4 points My Notes (a) Find an approximation to the integral (x24x) dx using a Riemann sum with right endpoints andn 8. R8 -10.5 n lim> 'f(x;) Ax, where Ax = -and x a + i Ax. Use this to evaluate (b) If f is integrable on [a, b], then f(x) dx (x2-4x) dx...
ignore the calculus - please answer the picture about glucose and fructose (a) Find an approximation to the integral (y2 - Qydy using a Riemann sum with right endpoints and n = 8. (b) If fis integrable on [a, b], then f(x) dx = lim f (x) Ax, where Ax and x, = a + i Ax. Use this to evaluate (x2 - 9x) dx Need Help? Read It Talk to a Tutor 80320 ом Bonus point question. 10 points....
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
(1 point) In this problem you will calculate the area between f(x) = x2 and the x-axis over the interval [3,12] using a limit of right-endpoint Riemann sums: Area = lim ( f(xxAx bir (3 forwar). Express the following quantities in terms of n, the number of rectangles in the Riemann sum, and k, the index for the rectangles in the Riemann sum. a. We start by subdividing [3, 12) into n equal width subintervals [x0, x1], [x1, x2),..., [Xn-1,...
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...
(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 =
Evaluate the integral [~ /36+? Sx 736+X?dx=0 Find the area of the region enclosed by the curves y=x2 - 4x and y= -x2 + 4x The area of the region enclosed by the curves is (Type an integer or a simplified fraction.) Use l'Hôpital's rule to find the following limit. 10 In (x-9) x 10+ - (4-10_16->) - ] (ype an integer or lim- (Type an integer or a simplified fraction.) x - 10 In (x-9) X10+
EXAMPLE 5 Use the Midpoint Rule with n = 5 to approximate the following integral. dx х SOLUTION The endpoints of the subintervals are 1, 1.6, 2.2, 2.8, 3.4, and 4, so the midpoints are 1.3, 1.9, 2.5, 3.1, and width of the subintervals is Ax = (4 - 175 so the Midpoint Rule gives The 1.9* 2s 313) dx Ax[f(1.3) + (1.9) + (2.5) + F(3.1) + f(3.7)] -0.06 2 + 1.3 2.5 3.1 . (Round your answer to...
xi = a + idelta x Question 3 Use the following definition to evaluate the integral. 4 Theorem Iff is integrable on [a, b], then 76) dx = lim Sra where and 11 (x2+5)dx Upload Choose a File