When x³ cos(x?) dx is evaluated using IBP, the value of v du is? ...

Q: -y = tanh" (cos e* ) ||

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Q: If y = cos? x – sin? x, what is y? X - х, | dx

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Q: Given: [ Scos(cos2x) sin2x dx Find: du O 2cos2x dx O -2sin2x dx -2cos2x dx O 2sin2x dx O O

A: ∫coscos2xsin2xdxLet u=cos2x.So,     du=-2 sin(2x) dx

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Q: 59. Find (a) {e-t sin? t},

A: Let's find.

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: 9) cos e 270

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Q: -/- I = х cos bx dx, for b > 0

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: S"(e*sin²x – e**cosx) dx B)

A: The formula of integration using by parts:       ∫fg' =fg - ∫f'g

Q: sin-"(ry) = cos-'(x – y)

A:

Q: 5 sin?(t) cos“(t) dt

A: ∫0π5 sin2t cos4t  dt=5∫0πsin2t. cos2t .cos2t dt=5∫0π sin2t ×1sin2t cos2t dt=5∫0πcos2t…

Q: Find  dy/dx, given ? = sin √x

A: Chain rule in differentiation: also,

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A: Solve integral by substitution method:-

Q: d Find dx (sin? (In x)]

A: We can solve the given problem using chain rule of derivative. According to the Bartleby guidelines…

Q: 3. S cos ædæ from a = 0 to b = 5

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Q: d. y= cos-x

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Q: E.cos

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Q: e Cos xdx

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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: 15. For fe' cos x dx, what is du? cos x e' dx - sin x dx G(e* cos x + e" sin x) + C

A: The given question can be solved as shown in step2.

Q: TT/2 S,"/e cos?x.sint x dx in tegralinin bulunvz sonucunu

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Q: S sin*xcos?x dx

A: The given integral is ∫sin4xcos2xdx. use the identities:sinxcosx=sin2x2sin2x=1-cos2x2 The integral…

Q: L x² cos 2x³ dx? After substitution is performed, which of the following is equivalent to

A: Given that the integrals  To find the evaluate and choose the correct answer

Q: . Find L(t cos at } .

A: We will be using the known formulas to arrive at the final answer.

Q: Find dx for the following function. y = 3 sin x+ 2 cos x

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Q: If y = cos(sin(2.x)), find . dx

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

A: Ans is. option a)

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Q: d (c) (cos(2²) + In(3 – 2æ)) dx

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Q: Find dy/dx in the following: -1 2. Y= cos cot x

A: The given function is: y=cos-1cotx           From the property of inverse trigonometric function, we…

Q: O Find the values x where fe) = t-2 24 cos(2t) has a local min fmax.

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Q: 1 dx cos? x (m) klom

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Q: 9. 3 cos(wt –@), where w and a are constants.

A: We use first Cos(a-b)=cos(a) cos(b)+sin(a)sin(b) and then we use Laplace transform of…

Q: dx (b) | sin x· cos? x

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Q: Given: X = 4 cos 20 and y = 2 sin 20 What is the value of d y dx? in terms of

A: We have to solve

Q: Find and y" for y = 0 cos e. %3D

A: y=θcosθdiff w.r.t θdydθ=-θsinθ+cosθdydθ=cosθ-θsinθ y'=cosθ-θsinθ

Q: S= dx 3+ sinx+cos X

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Q: Evaluate: Jx?cos(2x)dx

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Q: 3a. cos πx sin πχ dx

A: We need to integrate the given expression. ( As per our policy, we can solve 1 question at a time.…

Q: Find the given 5x? cos 2x dx. Using this: "uv – f v du"

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts take

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Q: d dx et ex sin x + e* cos x

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Q: b) ſ cos (Inx)dx=?

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Q: Find dx for the following function. y = 3 sin x + 5 cos x

A: Given query is to find the derivative of the given function.

Q: 3 Cos |X TT 13) y = 3

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

Q: dx b) sin x· cos? x

A: let's find integral

Q: Integrate the followings sin cos dx cos - 4

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Q: Evaluate * cos (e + a?) dx 24 +1

A: To find: The integral ∫44cose3x+x2x4+1dx Concept used: ∫aaf(x)dx=0

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…