El cálculo de la integral, S sin' (z) dz es equivalente a Seleccione una: O a. - sin (2a)+ S [1+ cos (4r)] dx] O b.+sin (2x) – S(1- cos (4.x)] da] cos (2) +C O dr- sin (2) + + sin ()] + C O ez+sin (2a)-1+ cos (4r)) dr]

Q: Integrate S(cos x)e*+sin xdx B. et-sinx + C A. -e4+sin x + C c. e4+sinx + C D. e-4+sinx +C A В C D

A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

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A: We need to solve y' tanx sin2y=sin2x+cos2y This can be written as: y' tanx…

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Q: العنوان solle Le sin²(3x) cos²(sx) dx /1 8 tan'x dx で CIC

A: (1): Step 1:Step 2: Step 3:Step 4: (2): Step 1:Step 2:Step 3:Step 4:

Q: 12 A A10. If B then the values of A& B =. %3D (x-2) (x+4) x-2x+4 A 2, – 2 b) -2, – 2 c) 2, 2 d) -2,…

A: Since you have posted multiple questions we will solve the first question for you. If you want any…

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Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

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Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: cos x ...ş gl x = 0 die f(x) = -( أن قيمة مشتقة الدالة ... ..... 1- sin x

A: We have to find the derivative of the given function    The given function is  f(x)=cos(x)1-sin(x)…

Q: Let f(x)=sinx.When x=and dx=,then dy=? a) √2 b) cosxdx π+2 c) sin (+²) - sin() d) √2 √2 con()+sin()…

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Q: a dx = 1+ sin(ax) Select one: a. tan(ax) – sec(az) + C b. ax + In | csc(az) – cot(az)| + C c. In |1+…

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Q: A B 25/sin² 5 (sec 0 - cos 0) d )* Which of the following is equal to S; x² +25 dx ?

A: The given integral is x2/sqrt(x2+25).

Q: Find f. f "(t) = 8e + 8 sin t, f(0) = 0, f(n) = 0 8e' + 8 sin (t) + 8 – 5e" -t - 8 f(t) = | Need…

A: Solve intial value problem ( IVP)

Q: Using appropriate substitution, sin³ (3x)cos*(3x)dx is equal to -cos"(3x) + cos"(3x) + c - cos (3x)…

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Q: [9x cos(3x + 8) dx = Select one: a. 3x sin(3x+8)-cos(3x+8) O b. 3x sin(3x+8)+cos(3x+8) C. d. + C + C…

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Q: | 1' cos(T +1) dr. COS

A: using the integration by parts

Q: If f(x) = cos(2x), then f"|

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Q: 3. sin 3z cos 5z dr

A: Here we have to evaluate I=∫sin3xcos5xdx

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

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Q: tan y-1 . sin y- cos y- 1 www. Prove that tan y +1 sin y + cos y+1 2.

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Q: Q# (13 Rewrite: cos (x)sin(x)dx A) ſ u'du 1/2 B) Tu°du V312 C) [ -u°du 1 V3/2 D) [ u°du 1 V3/2 E)…

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Q: ifferentate: f(x) = COSX 1+sin x Apply the quotient ru

A: Topic:- application of derivatives

Q: 1 E valuate [ (x' + cos(3x)) dx sin (3x) a) b)

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Q: (4e" + 5x* + 5 cos x)dx 4e" + x + 5 cos x + c O et – x + cos x + c - O et + x5 – 5 sin x + c 4e" +…

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Q: (c) /* sin 6. 3 sin Od0 (0)

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Q: Lim メートo Cos aX Cos bX

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Q: ,2 Compute x² cos(x³ + 3) dx

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Q: Compute | a° sin(æ" + 2) dæ.

A: Given : ∫x6sinx7+2dx

Q: Evaluate: f(cos 5x - 2 sin 3x) dx O sin 5x - cos 3x + C Osin 5x - cos 3x + C O sin 5x+cos 3x + C…

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Q: Find where w= cos z - cos x cos 2y + sin x sin 2y and z x+2y. Me.

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Q: 4/ Prove that: " cos bx dx = (bsinbx +a cos bx]+c

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