‚arcsin(1+x²)] y'of y = In cscya

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

A:

Q: Sinha Sechct) At

A:

Q: Integral of arcsin(t) (dt) using trig substitution

A: To determine the integral using trigonometric substitution.

Q: Find the first derivative: y = 3 arcsin(cos 2x) %3D O-7 O -8 O -4 O-6 O-5

A:

Q: Find the indefinite integral .

A: To find the indefinite integral  I=∫sin-12x1-4x2dx  Let u  = sin-1 2x dudx = 11-2x2du = 11-4x2 dx

Q: show how to use integration byparts to find integration (arcsin x)^2 dx

A: Let I=Arcsin x2 This can also be written as: I=sin-1x2 Now if we want to integrate above function we…

Q: Find dy Sinx

A: See the details solution in below

Q: Describe the method used to integrate sin² x.

A: The process to find the integration of sin3x is to write in a way through which its differential can…

Q: sec?x Integral tanx

A:

Q: tane cote +- = sin0 + cose %3D 9. Sece csce

A:

Q: find the length of the curve y = arcsin e^(-x) from x = 0 to x = ln 5/4

A: Given curve, f(x)=arcsin e-x from x=0 to x=ln54

Q: find Fourier Sine integral of fie) fras= ol> |.

A:

Q: Prove the hyperbolic identity of sinhxcoshy-coshxsinhy=sinh(x-y)

A:

Q: If the functions y = sinx and y = cosx are both subjected to à hórizonlal %3D transformation would…

A:

Q: Integral of √1-sin2x/2

A: Integral: -The function F(x)is referred to as the anti-derivative or integral of the supplied…

Q: integral of 1/sin3x dx

A:

Q: Integrate |sin2x cos 3xdx

A:

Q: i sinycos ydy

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

Q: find integral tan 3 x dx

A: To find the integral of tan2x first split tan into two part and the using property of sec and tan…

Q: d arctan (tanh x) dx Show that sech 2.x.

A:

Q: 1. Differentiate the function. y = In(VT sin-(5æ))

A: As per our guide lines we can answer only 1 question. Kindly post the other question seperately.…

Q: cos (In z) sin (In x) dx

A: To Evaluate the integral

Q: (у — siny)(y'сosx — cscy) :

A: Solve the differential equation                          (y'-siny)(y'cosx-cscy)=0

Q: CSCX-1

A: Multiply numerator and denominator by (cscx-1)

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: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: 4) What integrals lead naturally to inverse hyperbolic functions?

A:

Q: 3) Find the equation of the curve whose arclength from the point (4, 1) to the point (9, -1) is…

A:

Q: | sin 2x cos7x dx

A:

Q: Consider sin¹x cos³x dx. If we let u= sinx, the integrand can be transformed to

A:

Q: 4) coth-lx = .In ( 1+x tanh-11 %3D 2 X-1,

A: i am solving question 4 for other question repost

Q: 1) sinh-1x = In(x + Vx² + 1) %3D 2) cosh-1 x = In(x+ Vx² – 1) %3D 3) tanh-1x In ) X = 1-x

A:

Q: 2 If the functions y = sin x and y = cosx are both subjected to a horizontal compression by what 3'…

A: Given: The function y=sin x and y=cos x are both subjected to a horizontal compression by 23

Q: integral sec2(?) tan2(?) d?

A: Given that sec2?tan2?d?To find : Integral Solution :∫sec2?tan2?d?Let, tan?=tsec2?d?=dt∫t2dtt33+c

Q: TRC Prove that CoshZ =Goshx Cosytrisinh X Siny

A: The given problem is to prove the following complex hyperbolic trigonometric identity.

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

A: Concept: Trignometry inverse formula: One of the key ideas in mathematics is the inverse…

Q: Integral of tan^4(x)sec^6(x)dx

A: Sincesec2x=1+tan2xTherefore,

Q: Evalate the integral (tanx dx by using the reduction formıla of tangent fumction. х

A: Let u=tan(x). then x=tan-1u and  dx=tan-1u'du=duu2+1

Q: Integral of cos4x dx

A: =∫(cos2x)2dx =∫(1+cos2x2)2dx=∫1+cos2x4dx=∫1+cos22x+2cos2x4dx= 14∫1+cos22x+2cos2xdx=…

Q: Prove that 2 arcsin (x) = arccos (1-2x2) for XE (0, ) Hint: you may want to differentiate these…

A: We can prove these by two ways . First is by using derivatives of functions. And second by using…

Q: integral arctan4t dt

A:

Q: Integral of tan^5(x) dx Show Complete solution

A: This is a problem of differentiation. By general formula we will solve the question. Assume, secx =…

Q: integrate 1/(sin^2(3x) dx

A:

Q: Integrate tanx+cosx-sin2x=1

A:

Q: Use linear approximation or differentials to estimate v80. Show your work.

A:

Q: Evaluate the indefinite integral. (arcsin(x))' V1 – 22

A: Given, Evaluate ∫arcsinx71-x2dx

Q: Calcubte the opproximate valve of sin 66 Using differential ?

A: According to given information it is required find the value of

Q: IT Evaluate the proper integration from 0 to 4 of arctan x. Leave your answer in terms of r.

A:

Q: 6) csch-1x = In Vx2+1 (+ sinh-11 %3D |x|

A: 6. First  we will find relation between csch-1x and sinh-11x. From Hyperbolic trigonometric…