75. sin x cos x dx 76. sin 2x sin (cos 2x) dx

Q: 3. Sin x dx 3- COS

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Q: 8+tan x dx 1-sin?x i.

A:

Q: 4. Evaluate sin (x) cos°(x)dx

A: To evaluate the integral

Q: 5. tan (x)dx 1 -dx cos² (x) sin () 6.

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Q: 1 - cos 4x 1 + cos x dx

A: The given integral,     ∫1-cos4x1+cosxdx

Q: 6. S 2sin´x sin(2x) dx

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Q: S sin5 3 x cos' 3 xdx

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Q: |(sin 4x +e¯2*)dx

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Q: 1³ csc x - sinx 5 sin x -dx

A:

Q: 15. cos³ 3x 3√√/sin 3x dx

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Q: 23. x? sin (x³) cos (x³) dx

A: ∫x2sin5x3cos3x3dx=∫sin5x3cos3x3dx      x3=u,3x2dx=dx, x2dx=1/3 dx=∫sin5x3cos313dx

Q: y = sin' x- cos 3 – cos' x cos³

A:

Q: Evaluate the integrals

A: We have to evaluate the integral;  13) ∫ln4ln9ex/2 dx14) ∫tanxln(cosx) dx

Q: x sin 3x² dx

A: Our Aim is to integrate the following integral given below:-∫x sin (3x2) dx -(i)

Q: =) S sin6 x+cos6 x sin³ x cos³ x dx

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Q: 4 sin-lx dx X.

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Q: (40 sin (x) – 39 cos (x)) dx =

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Q: sin(2x) cos(2x) dx 1+ cos(4x)

A: The complex form of integral can be converted to simple integral using integration by substitution…

Q: 6³ sin ¹(3x) dx.

A: Solution of given question is written in below steps.

Q: 1. [e-2x sin 2x dx

A: As per the instruction, we will be answering only the first one. For (1),      ∫…

Q: 10. sin x cos x dx

A: Given:- ∫ sin3(x) cos5(x) dx

Q: (3) csc¯'x = sin X 1/

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Q: evaluate the integral.

A: Let,

Q: 7.) cot 2x dx 8. (sin x + x) dx 9. J (cos x sin2x) dx

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Q: x³ cos(x²) dx = k – | x sin(x²) dx

A: As per Bartleby guideline for more than one questions asked only first is to be answered please…

Q: Find integral.

A: To find the integral  I = ∫sin10x cos x dx

Q: 4. (e) sinx-cos" xr sinx-

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: 9) | sin´x-cos'x dx 10) [ cor"/x - dx

A: Solve: 9)  ∫sin4xcos3xdx10) ∫cot2xxdx

Q: 5. Ò sin(x- )dx

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Q: 71. cos³ 2x sin 2x dx

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Q: 4:    Y = sin-1 2x 5:    Y = sinh-14x

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Q: (3 sin(2x) dx 4 sin(x)

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Q: 33. — Зх e - 3x sin 5x dx

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

Q: 9. y = -sin (3x) 10. y = tan (x - 60) 11. y = cos (x + 30) 12. y = 3 cos (2x)

A: In both cases there is translation of graph.

Q: 3. sin x cos x dx

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

Q: [x* sin 3.xdx

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: (9) ſ cos(x²) 2xdx sin x? + c cos x2 + c Option 1 Option 2 sin 2x + c

A: We will substitute  x2 = t

Q: 1. Solve sin x= for X where 0° <x<90°. Enter your next step here

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Q: evaluate the integral.

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Q: 3. x² sin* () dx, x² sin2 () dx, n, n, a is a constant

A:

Q: 16. (sec x + tanx)² dx 32. sin? x cos x dx

A: We 1+ tan^2(x)=sec^2(x)  Also we integral of sec^2(x) is tan(x)

Q: S sin(3x + 5) sin (4x – 7)dx

A:

Q: 8 sin(2x) cos(2x) dx

A: We have to evaluate the given integral

Q: 3 5. cos x dx > 6. sin x cos x dx =

A: According to the trigonometric ratio:  sin2x + cos2x = 1 Integration of cos x is sin x.

Q: 4x 3x + cos (2x² + 1) tan? x) x (1+ sin² dx

A: Here We have to evaluate;  a) ∫4x3x+cos(2x2+1)dx b) ∫tan2x(1+sin2x)cos2xdx

Q: S(tan 3x – sin? 2x tan 3x)dx

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Q: 1.5; cOs X dx sin³ x – 4 sin x

A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: S [tan® x sec6 x + cos“ x sin“ x + sin* x] dx

A: Given that: (tan8xsec6x + cos6xsin4x+sin4x) we solve this integration by using general formulas of…

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

A: