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A: We are asked to find the derivatives.

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Q: sin(l nx)dx = ?

A: According to the given information, it is required to solve the given integral.

Q: sin() dp cos (4)

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Q: y (-1, 1) sin(e) cos(e) ante

A: The coordinate (-1,1) is in second quadrant in the below figure. The perpendicular is 1 unit, base…

Q: S"(e*sin²x – e**cosx) dx B)

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

Q: If y = cos x + sin 2x, find the value of y” - y’ +3y

A: We will differentiate the given function.

Q: Half the distance between the maximum and minimum y-values of a sine or cosine wave is known as its…

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Q: The general solution of y 'tanx sin2y = sin?x + sin?y is

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Q: i) Find sin 6x+ cos 4x dx. 3 ii) Evaluate || et -dx . Hence, solve 2e* dx . (* +2)" +2

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Q: d/dx (sin^3 x) = d/dx (sinx sinx sinx) = ?

A: Given query is to find the derivative of the expression.

Q: y = e2* sin 2x + e3* cos 2x

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Q: x sin-y = 1+x?

A: The given function is: x sin-1y=1+x2

Q: Discuss the similarities and differences between y= sin 0 and y = cs

A: Here we have discussed the similarities and differences between y=sinθ and y=cscθ

Q: (3 S sin xdx

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

Q: sin' (2t) cos? (2t) dt

A: Use the substitution and replace the terms by new variable and solve easily.

Q: y tn Sin5x

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 2TT Sin nx dx

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Q: S COSA Sin 2X. C dx

A: We have to find integration

Q: i. S(sin(4x) + cosh(3x))dx

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Q: TI 37t y = In(sin x), 4' 4

A: Given,         y=lnsinx , π4,3π4

Q: In cof '3x sinAte ech x² 2

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Q: dx 6. [- xIn x sin 5tdt 7. V1+ cos 5t

A: Given that the integral ∫dxxln2x. Give suitable substitution to simplify the integral. Let u=lnx,…

Q: Solve x' sec? y +3x tan y = cos x. dx

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Q: 18) iox dx Sin

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Q: 1 dx = sin-1 +c V6-x² True False

A: As per company's policy, we can answer only first question. so please repost other question. Thank…

Q: dx (1–sin x)?

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Q: A. sin(3x) dx

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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: 2 2. cos² ydy 1+sin y

A: The given integration is: I=∫cos2y1+sinydy   We know the common integral. ∫sinxdx=-cosx+C

Q: 4. COS dx sin?

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Q: dy Solve sin -1 | = x +y dx,

A: Sin-1(dy/ dx) = x+y => dy/ dx = sin(x+y).

Q: e'sinx y.cosx

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Q: )S sin cos5 x dx

A: Solve the following integral

Q: Example : Find S“ (cos ti + sin tj+ tk)dt

A: We can do integration w.r.t. dt

Q: Solve sin - () 2 dy = x + y

A: We need to use substitution method to solve this differential equation

Q: Sy sin-'y dy

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Q: S dx = sin-1+c 9. V6x-x2 3

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Q: Evaluate the intergrals. ∫ ex sin2x dx   show the complete solution. step by step

A: There are exponential function and trigonometric functions in the product in the given integrand.…

Q: x sin(ax) dx, (a # 0)

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Q: Solve dx 유=()+ sin(). tan():y(1) =D좋

A: The general solution of a differential equation always contains a constant of integration. The…

Q: e of y = -3 sin x + 5? (I Vミー

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Q: find the derivative.

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Q: 50 6x sin dx e sec sec

A: The question seems to be wrong. I have made a few changes. The solution is as follows below:

Q: II Find the general solution to the equation Ut + xUx = sin t.

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Q: 6. Find dy/dx and simplify y sin = - х

A: According to our policies we are allowed to solve one question at a time so kindly repost other…

Q: 4. S cot63x dx de 5.55 sin

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Q: Eoaluate dx, Hence find the value of sin dx.

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Q: | cos(x) sin(2x) dæ

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Statements and Logic

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