Show work thx Evaluate the following integral. dx 736 - x? Which substitution transforms the given...
Test: Final This Question: 6 pts Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. XX Which substitution transforms the given integral into one that can be evaluated directly in terms of 0 OA. X 3 tano OB. X= 3 sino OC. X= 3 sec 0 Given the expression for x above, find dx in terms of O and do. dx = 00 dx x4-9 Click to select your answer(s).
Evaluate the following integral. x² dx √ 121 + x² What substitution will be the most helpful for evaluating this integral? O A. x= 11 sec 0 O B. x= 11 tano O C. x= 11 sino Find dx. dx = dᎾ Rewrite the given integral using this substitution and simplifying. so x dx - Sodo √121 + x² Evaluate the indefinite integral. x²dx s √121+x² (Use C as the arbitrary constant.)
Evaluate the following integral 8x +x+33 + 1)(x +4 dx Can partial fraction decomposition be used to evaluate the given integral? Select the correct choice below and, if necessary, fill in the answer box to complete your choice ОА Yes, partial fraction decomposition can be used. The given integral can be rewritten as ( dx, which is more readily evaluated OB. No, partial fraction decomposition cannot be used Evaluate the indefinite integral &x?+x+39 s dx = 0
Evaluate the given integral using the substitution (or method) indicated. T (5x-6) dx; v = 5x - 6 + C Need Help? Talk to a Tutor MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the given integral using the substitution (or method) indicated. (4x - 2)4 dx shortcut +C Need Help? Talk to a Tutor Evaluate the given integral using the substitution (or method) indicated. / 4eX/6 dx; shortcut +C
(3 points) Consider the indefinite integral X – 3 (3x - 2)2 dx. The substitution u = 3x – 2 transforms the integral into: | du (This answer must be a function of u.) Note: You are not asked to evaluate the integral.
Evaluate the following integral using trigonometric substitution. dx S 3 2 (1+x²) dx S 11 2 (Type an exact answer.)
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+
2x 3) Let f(x) = 3V9+x2 a) Evaluate the definite integral 1393 f(x)dx, using Trigonometric substitution. b) Find f(x)dx, using Trigonometric substitution. c) Is there any other way to compute the integral of part b). Explain. If yes, then show the calculations.
plz show steps thx 5. a) Evaluate st -2x + 7x? dx. b) Evaluate: [** sin(x* +1]dx. c) Evaluate: [(3x? –5x+4-4e”)dx
Evaluate the following integral using trigonometric substitution. 7x² dx (121 + x2) 7x² dx s (121 +x?)? (Type an exact answer.)