3. S. 2 cotx-3 sin²x dx sin x 4. (2x2+x dx x+1

Q: 3.3 Inx + tanxe d 4-4x -sinte dx

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Q: par y) В. х2 + у2 С. sin (3x — у)

A: Which of the following equations are solutions to the partial differential equation

Q: 1. -5 cosh x 2+3sinh x dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: S sin 3xsin 2x dx

A: Given integral, ∫sin3x sin2x dx

Q: 8. What is dx (x2+8)3 9. What is {(Sin (tan (x*)} dx dy 10. What (x -2x +5)6 dx =一

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Q: 1 S cos³ 3x sin' 3x dx

A: The given integral is: I=∫cos33xsin43xdx   ...1   We know that; The Power rule: ∫xndx=xn+1n+1+C

Q: 1. [ (6x² – 2x+3)dx sin(2x)dx 3 2. 3. S2 8 dx X+2

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Q: 7)S sin2xcos* x dx

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Q: 6. Find Sin 5x (b) y = THcos 5x dx

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Q: 4x sin(4x + 5) dx 3.

A: Answer is here

Q: S sin 2x sin 4x dx 7.

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Q: 4. X sin (x) dx VI-X 1-メ-

A: “Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 5. . sin 3x dx

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Q: 3. S sin*2x cos$2x dx

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 2. S(cos4x – sin*x) dx

A: we know that , a 2 - b 2 = ( a + b ) ( a - b ) And cos( 2x ) = cos 2 (x) - sin 2 (x )

Q: 9. S sin(4x – 2) dx

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Q: Cos 2x dx ) Sin*2× + 8 1.

A: Given ∫cos2xsin22x+8dx

Q: S sin(4x + 3)cos(3x – 5)dx -

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Q: 3. S sin x sec®x dx

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Q: 4. evaluate 1 -5x dx xe x sin( 2.x)dx 5)

A: Integration by parts.

Q: 14 sin x dx I3D

A: Will use the properties of definite integrals to solve this question

Q: 비신부 4 x² sin(2x) dx

A: Given : ∫827dxx-x3

Q: (a) S sin³ cos dx . 3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 一2 sin2x dx

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Q: S(sin 29x + 6e0 +5 cos 5x+)dx

A: Given integration ∫sin29x-x5+6e6x+5cos5x+x5dx  Now we break it and we get   ∫sin29xdx-…

Q: 3 sin x 1. S- dx 1+cosx

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Q: 1. Find , if y = x² sin 3x dx

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Q: 6. Find [sinh(4x)sin(2x)dx

A: By using integration by part.

Q: S sin(4 + 5x) cos (5x – 4)dx

A: From the given problem: I=∫sin4+5xcos5x-4dx As we know that the trigonometric identity:…

Q: S(6x + 2) sin(6a² + 4.x)dx

A: we have to integrate

Q: If y = (sin-' x)², show that (1 – 2*) dy dr? dy 2. dx

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Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.

Q: 16. S sin 3x cos 3x(cos 3x+1)² dx

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Q: 2. S sin*(2x)cos²(2x) dx 4

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Q: evaluate the integral.

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Q: 4). | (5 sin 2x) dx = 2

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Q: 4. S sin¯ 3x dx

A: We can solve the given problem using integration by parts . According to Bartleby guidelines I have…

Q: 5. S sin5x cos 3x dx

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Q: Sõ sin“ 3x cos 3x dx

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Q: 12) / Зy sin(5y?) dy

A: Solution:

Q: dx |2 sin 2 sin x — сoS X

A: I have appended the formula used in the solution part

Q: evaluate the integral.

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Q: 16. S cot xdx /1 + In sin x

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Q: 7 Show that: sech x dx = Sin¹ (tankx) + ( S note: * & Sim'u = dx 1-U² dx Cam multiply sechx by * you…

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Q: 4. c) Integrate x² sin(4x)dx.

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Q: S secs/2 (금x) tans (글x) dzx

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Q: 13. Find , if y = sin x+cosx cos x dx

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Q: S sin 3x cos xdx

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