4. sin 2x cos 2x dx

Q: 3 4) Find / sin (2x) cos (2x)dx

A:

Q: 4 sin“ dx

A:

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. sin " 2xcos' 2x dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 4. Evaluate sin (x) cos°(x)dx

A: To evaluate the integral

Q: dx of SC 1+ cos X

A:

Q: S sin5 3 x cos' 3 xdx

A:

Q: 2. tan3x(sec3x – cos3x) dx

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Q: 9 sin5(x) cos³(x) dx

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Q: 5х, 5x sin°(cos* () dx 5 4 6 6

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Q: 78 |x cos(nx)dx

A: As per guidelines we will solve one question

Q: 7/2 S 3 cos (x) sin°(æ) dx =

A:

Q: 15 cos(x) + 4 sec (x)dx

A: 1) I=∫15 cosx+4 sec2xdx =15∫cosx dx+4∫sec2x dx =15 sinx+4 tanx+c   (c- constant if integration)

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: 5. | cos(7x)dx

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Q: 5. Se* (sin x + cos x) dx

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Q: √2 2 sin-¹(x)dx

A:

Q: 9. S sin(4x – 2) dx

A:

Q: Evaluate 1 dx 3 sin x – 4 cos x -

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Q: π/2 COS X 1 + sin² x dx

A:

Q: 3. Find S sin5 x cos* x dx.

A: Use substitution method

Q: i. S(sin(4x) + cosh(3x))dx

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Q: 9. sin“ x cos“ x dx

A:

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

A:

Q: A. sin(3x) dx

A:

Q: 2 sin(30) cos(30x) dx

A: Given integral is ∫0π2sin30cos30xdx

Q: 1. Find , if y = x² sin 3x dx

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Q: 3 cos ° (5x)dx

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Q: 2 2 | sin x cos xdx X,

A: As per our guidelines we are supposed to answer only one question kindly repost the other question…

Q: 71. cos³ 2x sin 2x dx

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Q: 1. cos 3x dx

A: Since, the exact question was not specified so will answer very first question of it. Please…

Q: cos (3x) · (8 sin (3x) – 1) dx = %3D

A: Given that : The integral is ∫ cos ( 3x ) ( 8 sin ( 3x ) - 1) dx  .

Q: 5) (x3 cos 9x dx

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Q: Зл/2 3|sin x| dx

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

A:

Q: 4. S sin¯ 3x dx

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

Q: 24 dx 1- cos (6x)

A:

Q: S sin(3x + 5) sin (4x – 7)dx

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Q: (1) S cos(7x + 5)dx

A: We need to integrate the given terms.  For this we will use substitution method.

Q: calculate the integral.

A:

Q: 30. sin x cos(cos x) dx

A: The given integral is ∫sin x coscos x dx. Let u=cos x. Then, du=-sin x dx.

Q: -2% sin 4x dx

A:

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

A:

Q: Find ∫sin 5x cos 4x dx.

A: Given, ∫sin5x.cos4xdx

Q: 2. 6 cos 2x dx

A: To evaluate the given integral.

Q: -5x sin(2x) dx

A: Consider the given integral

Q: 4(cos- (-3x)) = dx

A: Given query is to find the derivative of cos-1(-3x).

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

A: