use residue theorem to evaluate the following integrals sin z 21) 20) Cosx dx (r? + 1) X 22) sin mx dx 2(x² + a²² (a > 0, b>0) 23) cos ex - cos bx -dx x?
13. Evaluate: (emcos x dx. Hint: Notice we see sin x and its derivative cosx. u=sin x is a good choice for substitution. 14. Evaluated as 15. Evaluate: x cos(x") sin(x)dx. Hint: Since the cosine function is taken to the 4n power, try u = cos(x).
cos'x dx sin 3x dx 2. an 45 sin cos'xdx 4 sin'xcos'x dr 44 sin'x cos'r dr 6. sin'xcosx dx 8. Jo sin'x cosx dx fa-sin 2x)' dx sin x + cos x dx 10. 9 f sin'z dx cos'x sin'x d 12. 11 sin'x Vcosx dx 14. 13. cot'r sin'x dx 16. cos'x tan'xdx 15 dx sin x dx 18. 17 1-sin x cos x tan'x dx 20. tanx dx 19 sec'x d sec'x dx 22. 21 tan'x secxdx...
solve the given de or ivp 3. [2xy cos (x²y) - sin x) dx + rcos (2²y) dy = 0.
Am = } $(w). cos(mkr)dx Bm= f(x) = sin(mkr)dx - Given the periodic quadratic periodic function f(x) = G) "for - <x< . Calculate Ag. There is a figure below that you should be able to see. You may (may not) need: Jup.sin(u)du = (2-u?)cos(u) +2usin(u) /v2.cos(u)du = 2ucos(u)+(u2–2)sin(u) -N2 0
-olve the integration of COSX dx by combination of substitution and partial sin x + sinx raction methods.
1. cos 4 x-sinº x = cos 2x 6 6 2. sin x + COS x = 1-3sin ?x cos” x 3. cos 2x = 1-tanx 1+tanx 4. 2sinx cosx = cos(x-y) – cos (x+y)
please solve and explain detailed sinx + cosx= 1 sin (x) + cos(x) = 1
(1 point) If tan x - -1/3, cosx > 0,, then sin 2x- cos 2x - tan 2x - (1 point) Find cos 29 if sin- 13 85
Solving Trig Equations class Activity 0 2 cos²x-√3 cosx=0 [0, 360) 6 Sinx + Cosx=1 [0, 21) (3 Sin (arctan 23-arccos 12) @ sin laoreet (5)