In Problems 1 to 4, integrate with respect to the variable. sin 4x' 1. sin22x sin 2r 2. 3 cos²r 2 3. 5 tan 30 $(Gtan 30 – 0) +c tan 30 -0

Q: -83° sin (2x) cot (x) dx 370 csc (x)

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Q: 6. sec (sin-1 x)

A: Interconversion

Q: *T/4 sec² xdx 26. 27. sin xdx TT 28. COS xdx

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Q: Question 5 Evaluate the Integral / costx sinx dx (A 5 -cos x+C (B) -sin³x+C -sin*x+C -cosx+C D

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Q: S sin5 3 x cos' 3 xdx

A:

Q: 4 sec(8) = find cot(0) 2

A: Use trigonometric rations

Q: If A = A-1 = 2e2t sin(5t) 2e²t cos(5t) 2e5t cos(5t) -2est sin(5t) , then 4

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Q: II. Perform the indicated operation. 3. 3 cis 305° / 9 cis 65°

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Q: (ii) S. sin?x + tan²x dx 6

A: The given integral is: I=∫0π6 sin2x+tan2xdx

Q: " f e/2i =sin2 then z = = sin2 then z =

A: In the given question we have o find the value of z which satisfies the condition s.t e-z2i=sin2.…

Q: Problem: sin*(x) dæ

A: The given integral is ∫sin2x dx

Q: Find sin (x) if sec (x) sin (x) A = B = B = 26 24' where tan > 0. Put your answer in reduced form.

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Q: 15.sin2x secx- cscx =0

A: The value of x is π/4 + nπ/2

Q: @ y = x tan 2x

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Q: 6. (a) 2 cos?t (b) 3 sin 2x

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Q: 71. cos³ 2x sin 2x dx

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Q: If y = sin 2x sin 3x sin 4x then find y".

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Q: •TT/6 4. S sinx sin2x sin3x dx

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Q: [17 sin³ x costx dx 5.

A: Given: I=∫17sin3xcos4x dx. To evaluate: Value of integral I.

Q: Question 5 of 11 (3x-2+tanx-4)dx= O A. -4+ OB. -3x-2+sec²x + C +tant-4 C. 6x-2+tanx-4 OD.…

A: Given;  The integration of derivative of (3x-2+tanx-4).

Q: /2 97. 3 sin x cos x =dx VI + 3 sin²x

A: Integral problem

Q: 4. If (sin2x + cos2x)dx =, sin(2x – c) + a, find the values of a and c.

A: Introduction :

Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.

Q: 3. S sin? (2t) cos³ (2t) dt 4. ſ tan³(3x)dx

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Q: (12) ſ sin²x cos²x dx sin4x sin4x 8. 4 16 Option 1 Option 2 sin2x - 8. Option 3

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Q: 1. / cos" (2t) sin² (2t) dt

A: 1.