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
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Evaluate the following integral. jungle In? (x²) -dx s in? (x2) -dx = (Type an integer or a simplified fraction.) X h
1. Evaluate the de 4. Evaluate the integral: als poo x2 J- Y6 +1 dx
Evaluate the following integral using trigonometric substitution. dx s 3 2 (529 + x2) dx 3 2 (529 +x2) (Type an exact answer.)
show work and write clearly please
2 23 dx Jo x2-4 Evaluate the following improper integral
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
Evaluate the following integral using the trigonometric
substitution method.
zu +9 dx x2
Evaluate the following integral using trigonometric substitution. 7x² dx (121 + x2) 7x² dx s (121 +x?)? (Type an exact answer.)
Evaluate the integral. 3 4 [ rwa f(x) dx where f(x) = 15 - x2 if -3 SXO if 0<x<3
Evaluate the following integral or state that it diverges. 00 dx S x2 + 256 - 00 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. dx ОА. s (Type an exact answer, using * as needed.) + 256 OB. The improper integral diverges.