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Use a contour to evaluate x? dx (x2 +1)(x2+4) f
Evaluate the integrals. 3x2 - 4x+7 dx (x2–2)2
Evaluate the following integrals. S 5x-2 dx x2-4 s 9x+25 (x+3)2 dx 2 x3+3x2-4x-12 dx x2+x-6
Evaluate the following integral using trigonometric substitution. dx s 3 2 (529 + x2) dx 3 2 (529 +x2) (Type an exact answer.)
Evaluate the following 1+ y2 (1 + x2)xy Evaluate dy dr ' Sear²dx ſ 2 sec(3.c)dc
1. Evaluate the de 4. Evaluate the integral: als poo x2 J- Y6 +1 dx
2. (5 pts) Use integration by parts to show that 1- x2 Write x2-x2-1+1 in the second integral and deduce the formula Now, use a trigonometric substitution to conclude that Evaluate 1- x2 dx by using the FTC and then verify your answer by interpreting the integral as the area of a familar shape. 2. (5 pts) Use integration by parts to show that 1- x2 Write x2-x2-1+1 in the second integral and deduce the formula Now, use a trigonometric...
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
Evaluate the integral. S (2x-1) In(18) dx (x2 – x)In 18x - +x+C 2 + x + C (21-x]ın 18x** 0 (x2 - x)In 18- x2 +x+C 0 (x2-x)in 18x - 2 + 2x +C
Evaluate the following 3. $.* * sin(x2) dx