sin x (cos x + 4) dx 2. S 1+cos²x

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A: f(t) = 6sintcost here 2sintcost = sin(2t) f(t) = 3sin(2t) now if we want to integrate it integration…

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A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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

A: Solution:

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A: The given integral is, ∫xsinxcosxdx=12∫x(2sinxcosx)dx=12∫xsin2xdx=12∫xsin2xdx=12I1

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A: 3.Integration by parts;∫ uv dx=u∫v dx -∫dudx∫vdx dxI=∫ x cos5x dxu=x, v=cos5xI=x∫cos(5x) dx -∫ (1…

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A: The solution is given as

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A: Some of the properties of trigonometric  tanx=sinxcosx1+tan2x=sec2x∫1xdx=lnx+C

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Q: 1+sin x dx S COs x

A: Given∫1+sinxcos xdx ∫1+sinxcosxdx∫tan2x2+1 2tanx2tan2x2+1+11-tan2x2dxlet u-tanx2…

Q: Please find all 0 <o< 2m, for which .. (a) tan (을) =D v3 (b) 3 sin²(0) + 4 = 5 (c) 2 cos(ln(x² + e")…

A: As question has many subpart we are giving solution for first three subpart. If you want solution of…

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A: ∫cos3x.cos2x dx=∫cos(5x)+ 3(cos(3x) + cos(x)) +cosx8dx= 18∫cos5x dx + 38∫cos3x dx + 12∫cosx dx=…

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Q: tegral 1 -r³e"la0 cos²e ,² dr sin@d0 ¢ do = x 32πα x = ? %3D

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A: To find the value of x

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A: using formula for first derivative of trignometric function

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Q: Evaluate dx 4x4+4x2+17 2x 8 sec-1 2+1 + C O None of the choices. Please refer to my solution. O…

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Q: 2) x³y? = 2x + 2y3 3) y = sin?(x) – cos³(2x) + 2 www. .

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Q: Show the solution (use applicable secondary formula): sin x dx V13-4sin?x -2 sin x dx V9+4cos²x…

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Q: The solution of Sinx dx - x sinx+ y cosx= 0 is (y– 1) sinx =? A C-x sinx B C+ x cosx с-х cosx D C+ x…

A: sinxdydx-xsinx+ycosx=0sinxdydx+ycosx=xsinxddx(ysinx)=xsinx

Q: 4. tan? ydy = sin' x dx 3 Ans. cos³ x –3cos x = 3(tan y - y+c)

A: As per our guidelines only one question can be solved. Please find the solution for 4th question:

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A: Integration:         The collection of all antiderivatives of f is called the indefinite integral of…

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Q: Find an appropriate guess for Ур. You do not need to find the values of the coefficients. y" + 3y' +…

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Q: Integrate the following: 2х-1 a) 3x-2 d) /sin? (3x) cos' (3x)dx | cos* (5x)dx 4. g)

A: (a) Consider the given integral as ∫2x-13x-23dx. Evaluate the above integral as follows:…