5n 8. stn뽕=글 → arcsin를=D

Q: 3.) y'of y = arccos[arcsin ()

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Q: Using appropriate substitution, S [sec³ (2x) – 2] tan(2x) dx is equal to

A: integration

Q: Define ro = 0 and xn+1 = In chis to Newton's method. tan(r,)-1 sec2(z,) What is lim, Pn in this…

A: In the given question we have to find the limit of the sequence xn as n→∞ where the recurrence…

Q: Differentiate. y = sec(e) tan(e) sin (8) y = cos(e)? 2

A:

Q: 44. y" +y = secr· csc x

A: Consider the equation, Let the homogeneous equation is The standard form of this equation is The…

Q: L, sin 8x cos 15x dx

A:

Q: Suppose y sec-¹x. Then a arcsec O sec y Y sec Y

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Q: find the value of cE CoB] for flx)= that satisfy value theorem. mean

A:

Q: If y = tan¬1 xy and (x = 2, y = 3) y will be equal to?

A: If y=tan-1xy  and x=2, y=3 We need to find the y'. Formula for  y' is, y'=11+xy2×x=x1+xy2

Q: 35. tet sin 5t dt

A: Given:∫0∞te-t sin5t dtUsing general formula of Laplace transform:∫0∞e-st ft dt = fs=LftLsinat=as2+a2

Q: 21. y = sech(√√x)

A:

Q: If y = -cos(2t), then y(5)= ?

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Q: In sec2(sin2y)dy dy can be evaluated by writing it as sec2y

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Q: , I- Se* . sinh 2x dx

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: Prove that 2 arcsin (x) = arccos (1-2x2) for XE (0, )

A: arccos1-2x2 Put x=sinθ, we get arccos1-2x2=arccos1-2sin2θ=arccoscos2θ      ∵cos2x=1-2sin2x=2θ=2…

Q: differentiate g(v)= ln ( arctan(3v)/arcsin(7v)+v^2?

A: The given function is,

Q: Find 19. t sin 3t dt Jo

A: Topic:- integration  Note:- as per our guideline if more than one question uploaded than only first…

Q: find: de So 2-cose using sediment theorem

A: Solution :-

Q: Find the equation of a cosine wave that is obtained by shifting the graph of y = cos x to the left 9…

A: Please see the answer in step 2

Q: 12, S a cos Vx dx COS

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Q: 2 Find def differentiêt equatcn of: -I(082 Siny %3D

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Q: S) - aresin 2. 2 arcsin 2. is constant for 0sxs 4.

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Q: 4, 8 sec3x tan5x dx

A:

Q: Compute / / sin(x²) !! dr dy.

A: The double integrals can be solved by solving the inner integral first followed by the outer…

Q: Find dy/dx

A: y=∫tan x0dt1+t2

Q: |7t tan (1) dt

A:

Q: .3 Use Trigonometric Substitution to evaluate: dx 2 |1+4x²

A: This question is based on indefinite integral.

Q: Submit Answer problem 1 oyt of max

A:

Q: If arcsin(6x+4y) = 1.5708 and arccos (2x+y) = 1.0472,find x.

A:

Q: 4) The curver= V1 + sin20,

A: Solution :-

Q: Bring out the importance of Frii's formula.

A: Answer: For the given data

Q: coth“ (sin 3z) -dz /1– tanh² 3z 12)

A:

Q: Evaluate the integral cot 2x dx cot2 2x - 15 -금사 csc 2x +C A Arcsec 4 B -In/cot 2x + cot? 2x – 15|+C…

A: Here, the given integral is: I=∫cot 2xcot22x-15dx

Q: 23. cos (3z + 4) dz 25. sec2 (3x + 2) dx

A: A

Q: 6. Se¯*tane¯*sec?e¬*dx

A: To evaluate: I=∫e-xtan(e-x) sec2(e-x) dx=∫tan(e-x) sec2(e-x) (e-x)dx...(1)

Q: If y = tan-1 xy and (x = 2, y = 3) %3D %3D y will be equal to?

A: Given: y=tan-1xy To find y' at x=2 and y=3. Solution: Chain rule of differentiation states that:…

Q: I* cos z lim 1³+2

A:

Q: S(sin2z – 3cos2z)°dz

A: Here, (sin 2z-3cos 2z)2 =sin22z-6sin 2zcos 2z+9cos22z=sin22z+cos22z-3(2sin 2zcos 2z)+8cos22z=1-3sin…

Q: y" + y = tan t + eª – 1 -

A: The given equation is second order homogeneous ODE has the form of ay’’ + by’ + cy = g(y)   The…

Q: coth“(sin 3z) 12) Vi- dz /1– tanh² 3z

A: The given integral: This can be written as, To evaluate the integral:

Q: B ) if y= sinh¬1x then prove that =

A: Given y = sinh-1(x)sinh(y) = x On differentiating both sides , we get sinh(y)' = (x)'(cosh(y))dydx…

Q: 8. fx,y) = sinx cos y

A:

Q: Find the arc 3/2 y= 2x length 1 15x52 of on

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Q: tan³ r sec' rdr

A: The given integral is ∫0π4tan3x sec4x dx. Let u=sec x. Then du=sec x tan x. Then, the lower limit…

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: Evaluate ∫ex cos3(ex) dx using tables after performing the substitution u = ex.

A: We have to evaluate the integral by substitution method: ∫ex cos3ex dx Substituting, u=ex…