Q: Evaluate: 2х -1 cos dx (1+x²

Q: Evaluate cos (4x) dx. cos (4x) dx = %3D

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Q: Q3 Find f cos (x)dx ?

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Q: -3 Evaluate: ²¹²² ²³ y cos(z³) dx dy dz

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Q: Find y' for X= cos( sinx)

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Q: 9x Differentiate y = sec sec(; COS a

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Q: Q5-Find for x? + cos(xy) = y dx

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Q: secx 3 Cos%dyd%

A: The given integral is: I=∫-π3π3∫0sec x 3 cos x dy dx

Q: Evaluate f 1+cos 4x dx 1-cos 4x

A: To evaluate the given integral.

Q: Q1 Evaluate I, where: I = -3x cos 2x dx

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Q: Q1) Show that: (b) (cosx) = -sinx =1+* (a) (1+x) =1+6x %3! (e) (VF) = (d) v1+ tan x

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Q3 Integrate using trigonometric substitution: dx I To +x² /9 +

A: Let (x/3) = tant Differentiate on both side  dx/3 = sec2t.dt dx = 3.sec2t.dt

Q: 1 For cos2(xy) = , evaluate y' when x = 1.

A: The given equation is cos2xy=14. Calculate the first differentiation y' of the given equation at…

Q: Evaluate ſe* 2x cos 2x dx cos 2x a) 2esin 2x + C b) -+c 2 c) ecos2x +c sin 2x e d) – +c

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Q: Differentiate f(r) COS (5c). Use exact values.

A: Given that f(x)=cos-1(5x) Find f'(x)

Q: dy Find if cos x = e dx %3D

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Q: find y = (cos(x))os®)

A: Let y=(cos(x))cos(x) By using the logarithmic differentiation, Apply logarithm on both side…

Q: dx. (a) [ cosʻ x+4 sin x (i) Evaluate Using the substitution ttanx

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Q: Evaluate fo sin(3x) cos(5x)dx 8 Select one: V2-1 8 O o

A: We can find the answer as below

Q: Calculate L4 for f(x) = 84 cos ()

A: Given,           f(x)=84cosx2  over 2π4, 2π2

Q: Find dy y= cof ( + tan)

A: Given : y = cot-12x+tan-1x2

Q: Use this equation to find dy/dx. 4y cos(x) = x² + y2

A: We will differentiate  equation with respect to X.

Q: and y = 3 cos 2x for 0s

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Q: dx cot 2x cos 2x 4,

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Q: Evaluate 5x² cos 2x dx.

A: Given query is to find value of the integral.

Q: (b) Find, where y= cos ecx- dx -4x+7

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Q: Q2: Evaluate: * Jx* sin(1- x)dx?

A: use substitution method to solve the integral

Q: Q1 Evaluate 1, where: -So I = -3x cos 2x dx

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Q: - 24) fx cos (x*) dx 26) dx

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Q: Find y' where y = cos (ze19 =) – gec = Cos ( xe-

A: on doing differentiation with respect to x we get option C

Q: Q5-Find2 for + cos(xy) y

A:

Q: Evaluate x/12 0 14√/1- cos 12x dx.

A: Given, ∫0π4141-cos12xdx

Q: Evaluate sin (x) cos(r)dx using an appropriate substitution.

A: Given that, I=∫absin5(x) cos(x) dx We have to find the solution of above integration.

Q: What is the value of k so that dx sin(kx2) = 6xcos(kx²) ?

A: Topic - derivative of a function

Q: cos(4x) dx - Find the Cauchy principle value (showing details): J (+5x2+4)

A: Given integral is, I=∫-∞∞cos4xdxx4+5x2+4 So, the function is, fz=cos4xdxx4+5x2+4 Now, consider the…

Q: Q4 Evaluate: f(1- cos²4x) sin4x dx.

A: The given integral is: I=∫1-cos24xsin4xdx   As we know the Power rule. ∫xndx=xn+1n+1+C

Q: Evaluate: X + T/4 dx. -*/4 2- cos 2x

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Q: Obtain the der a) cos(xy)=2y, find y'

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Q: Find r (3) /" (종), /" (주) , f' (), ), fm given f (x) = sin a cos 3x

A: Given: fx=sinxcos3xf'x=cos4x-2sinxsin3x To find: f''π3=?f'''π3=? Formulas used:…

Q: Find y" at (2,4) for cos(x²y + 5) = 16. %3D

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Q: Q9.a) Find if y=sin(tant) and t=cos(x) dx

A: We can solve this problem using chain rule.

Q: Sirzy-L652X こつinてy Cos? x CoSz seczK-

A: As per guideline we have to solve the 1st one. For another solution request again

Q: y 3x+ 6 cosx, 0 £xs 2n

A:

Q: Find the and simplify whenever possible. dx 3. cos(xy) = x – y

A: As per bartleby guidelines for more than one question only 1st one is to be answered. Please upload…

Q: Use Gaussian Quadrature (n = 3) to approximate f(x)dx, where: f(x) = (2.54 - sin0.32x)2 cos0.32x ,…

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Q: Solve the fo llowing D.- E y + y tan X Cos X %3D

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Q: Find the convolution of fix) = sin bx, g(x) = exp(-alx), a>0.

A: Convolution: Let and be two piecewise functions, then the convolution of them is denoted and defined…