3) Complete the Partial Fractions and find the indefinite integral r-3x5 +4x4 +2x3 10x2 +4x +8 x3(x 1)2(x +2)2 dx 3) Complete the Partial Fractions and find the indefinite integral r-3x5 +4x...
1) Find the indefinite integral: S 12x3 dx = 12x tc 2) Find the indefinite integral: S 4x (2 - x)dx 3) Find the indefinite integral: S e4x(4)dx 4) Find the indefinite integral: Saxta dx
Express the integrand as a sum of partial fractions and evaluate the integrals. x+8 -dx 2x3 - 8x Rewrite the integrand as the sum of partial fractions. x+8 2x - 8x Evaluate the integrals. X+8 -dx = 2x3 - 8x
6. Use the method of partial fractions to evaluate the indefinite integral. 8x' + 13x •dx (x + 2) 7. Consider a. Using complete sentences, explain why the integral is improper. b. Evaluate the improper integral to determine its convergence or divergence.
Express the integrand as a sum of partial fractions and evaluate the integral. 48x2 s dx (x-24)(x+8)2 Express the integrand as a sum of partial fractions. S 48x? dx= (x - 24)(x+8)2 SO dx Evaluate the indefinite integral. 48x? (x - 24)(x + 8)2 dx =
1. Find the indefinite integral and check the result by differentiation. 4x4 – 6x2 - dx
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
Q5). Integrate using Partial Fractions (show all working) 4x-8 dx x-2
. Find each indefinite integral. a) S x3(x4 + 2)20 dx
Find the following indefinite integral: 122* •2x² + 7x-3 -dx X-2 Find the following indefinite integral: ( (sec(2x) 2x) + tan(2x))dx
Evaluate the following indefinite integral. 3 + 3√x dx dx = 0 Determine the following indefinite integral. Check your work by differentiation. 5m (9m2 - 5m) dm 5m (9m2 - 5m) dm = Determine the following indefinite integral. Check your work by differentiation. Sur dr dr = Find the indefinite integralf f(-7 - 7 sec x tan x - 8 sec? x) dx. SC- -7 sec x tan x -8 sec? x) dx = | Determine the following indefinite integral....