find / sin³ x cos³ x dx cos³ 2x sinº 2x dx 11. 12. cos² x dx sin? x dx 13. 14. 16. 7 sin y dy 7 cos' t dt 15. 8 sint x dx 8 cos“ 27x dx 18. 17. 8 sin“ y cos² y dy 16 sin? x cos? x dx 19. 20.

Q: b) S sin 2 x cos x dx

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Q: Cos x sin (sinx) dx

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Q: Solve dy dx cos x = cos x cst ² y

A: A differential equation can be solved using the variable separation method. In this method, the…

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

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Q: S 1 dx = (x² + 1)(1 – sec(tan-1 x)) Select one: а. 1 -x + (sin(cos-1x)) b. 1 -tan(cot-1x) +…

A: Hence option (d) is correct .

Q: cos 2x 12) S 2cos2x sin x – sin x dx -

A: To integrate:∫cos2x2cos2xsinx-sinxdx Solution: ∫cos2x2cos2xsinx-sinxdx On simplifying further we…

Q: S COS X sin x+sin³ x dx. (b) ſ sec²x tan x+4tan³ x 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: -. Solve for dy/dx a. y = *+ sinx cos x † Sin X

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Q: 1ó+gosinx+X cosX + loX

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Q: sin x Find dy/dx given that y 1+ cos x

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Q: 2. 2 | sin xcos xdx

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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: (- + 2 cos 2x ) dx + (- - 2 sin 2y ) dy = x2

A: You have asked multiple questions in a single request. As per our honor code, we will only solve the…

Q: Cos 2x dx ) Sin*2× + 8 1.

A: Given ∫cos2xsin22x+8dx

Q: 3 cos° tdt 5. 1+sint

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Find dy/dx if y = (*+*) А. 1 В. 2х + 2 D. 1/x C. 2x + 4 csc(2b) sec(2b) Find da/db if a A. 2sec (2b)…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Find y' where y where y = 10 sin-1 (cos (21 z)) - tan C BARANG (18 r)

A: Given: Now,             y'=10arcsincos21x-arctan18x'     =10arcsincos21x' -arctan18x'…

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: b) S. cos x cos 7x dx

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Q: 8. 5 cos²x - 3tan x COS X dx

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Q: dy Solve x cosy = 2x. (siny) – 1 dx O a. y = arcsin(- + cx²) O b. y = arcsin(; + cæ²) O c. y =…

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Q: cot (7x+5). sin ( 3x+2) csc ( 7x+5) dx

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

Q: | sint x cosºx dx

A: Note: We shall answer the first question only as the exact one is not specified. Please resubmit the…

Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

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Q: 8. Find if y (sin x + cos x) sec x dx

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Q: Find y' for y=3 sin?x+3 cosx. A O .BO 5 .CO sinx .D O cos x

A: using formula for first derivative of trignometric function

Q: 10. f sin³x dx

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Q: Solve (cos x cos y- cot x) dx-sin x sin y dy = 0 %3D

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Q: Solve d²y cot x dx² dy - sin² dx sin²x.y = cos x - cos³

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

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