ez² cos(z) dz .

Q: 4. e2x sin e*d x, use algebraic substitution

A: Given :  Intergral ( e2x sinex dx)

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Q: 4x +1 = cos y?

A: According to guidelines we should have been able to solve only one question at a time

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Q: 3. Given the equation y = In(cos(x)): What is dx/dy? secx -seox -tanx -cotx None of the choices.

A: I am attaching image so that you understand each and every step.

Q: п What happens to x cos(nx)dx when n = 0? Justify your answer.

A: First of all, consider the given integral value and integrate.Let nx = a.Calculate dx and the limits…

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A: The given integral is ∫e2xcos 3xdx Integrate by parts  where first function is e2x and second…

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Q: a) Given that y= sinh'(cos(x)), provide detailed derivation to obtain the expression of dx

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Q: (T/2 cos® x dx Determine the reduction formula for cos" x dx and then find

A: Given, ∫cosnx dx∫0π2cos6x The reduction for the above integral will be,   ∫cosnx dx=cosn-1x sin x…

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A: To verify that ℒcos at=ss2-a2.

Q: xcosx dc + Cos x da 2.

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Q: Differentiate: y = cos(5 e* ) e11 COS

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Q: cos E(z) = 2. e of order e of order e of order

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Q: 3) y' + y = cos(e*)

A: We have to find the general solution of the first order linear differential equation

Q: When |x3 cos(x?) dx is evaluated using IBP, the value of v du is? cos(x*) - cos(x³) -cos(x*)

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Q: Differentiate the expression y = e* cos x²

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Q: BERNOULL니 dx -X = x siny dy ANSWER; hus -) § losy + Ce) X= -

A: dxdy-x=x3/2sinyx-3/2dxdy-x-1/2=siny                        1 Substituting x-1/2=v…

Q: 1. Use a substitution to find (6a2 + 2)e*+# dx showing working.

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Q: 2) y = e°(sin e + cos e)

A: I understand that we need to find the derivative of this function as nothing is mentioned

Q: f (x) = csc(cos(e*+1))

A: We have to find the derivatives of given function: fx=coseccose5x+1 We know following derivatives…

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Q: 1 and y' CO)

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Q: dx 27 (d) 2 + cos (x)

A: As per bartleby guidelines we are supported to answer only one question at a time . Kindly repost…

Q: 1. Compute 2x ecos cos sin 2.x dx e. Compute CT/4 sin* 2x cos 2x dx

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Q: cos e de =_ %3D • 2 • -T • 6

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

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

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Q: 5. (y" – y) = e-X cos(3x) %3D

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

Q: (ii) Evaluate J dx. COS TI

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Q: cos(z)ln (1 + æ²) + x3.7 dx. 3 Evaluate 3 1 + e1.87x – 66.1 answer = Question Help: D Video

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A: The given integral ∫e-xcos2xdx can be evaluated as, Let,  I=∫e-xcos2xdx By applying integration by…

Q: frosin(52)dz Find fro 70 sin(52)dx : + C

A: The given integral is ∫70sin50xdx

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A: We have to evaluate the indefinte integral as shown below:

Q: S sin* e de 4

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Q: 6. J1-cos I COS T dx

A: Answer is mentioned below

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A: We need to plot the graph of given curve:

Q: dy 6. For parts (a) and (b) of this question, find Simplify your answer. dx (a) y = e® Inx

A: Derivative: y=tanx1-cosxddx(uv)=v.ddx(u)-u.ddx(v)v2

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Q: For Cos(2) dx find Ty, My and S,

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.