Jsin 플 sin 플 dae 1.

Q: Integrate: S sin3x cos²x dx

A: The given integral is ∫sin3xcos2xdx

Q: 2. y = (cosx)(sin5x)

A: We will use product rule of differentiation to find the first derivative of this function. We will…

Q: Integrate the square root of (1 - sin² x) dx.

A:

Q: sec?x Integral tanx

A:

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

A:

Q: Integrate: So a sin(x²) dx

A: We have to integrate

Q: Integrate (sinx + cos^2x)^3 dx

A: To evaluate: ∫sinx + cos2x3dx Let I = ∫sinx + cos2x3dx ⇒I =…

Q: Calculate the deriv L tan2tdt d_ dx II

A: Derivation of          is calculated as shown below

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

A:

Q: Evaluate

A:

Q: Find the coordinates of the point on the graph of y = 8 sin x+4 cos (2x) + 14, 0 <x<5, where the…

A: Consider the given function, y=8sinx+4cos2x+14 The slope of the tangent line on the given curve will…

Q: Integrate |sin2x cos 3xdx

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: Verify the identity sinh x + cosh x = ex

A: To prove the identity

Q: +4)° x = sinh4t

A:

Q: Find the derivatives of Inverse trigonometric y = arctan (1+4x) у 3 arcsin (1-2x) у 3 arccos V1 -х

A:

Q: Integrate Sin (1-2 In v)

A: The detailed solution is given below Thank you

Q: Solve for the derivative Arc sin + Arc cos =0 y y

A:

Q: dy in terr dx Use implicit differentiation to find

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

Q: Integrate: S sin³x cos³x dx

A: ∫tndt=tn+1n+1

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

A:

Q: tanx 4) S Edx Cosxv1+secr 5) S(1- u)vudu

A:

Q: (ups" = (In tanx) (x*) ( Sinx) (Ny)" sec"('s %3D 2. %3D

A: Here we apply logarithmic differentiation for both Questions

Q: find the root of 3x +sinx -e ^x=0 using secant method

A: Let us consider the function fx=3x+sinx-ex. We have to use the secant method to find the…

Q: Integrate | 1-sinx dx 1+sinx

A:

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: y = arcsin sin (4x²)

A: To find the derivative y=arcsin sin4x2

Q: sin-(x²)

A:

Q: integral sin5xcos2x dx

A: ∫sin5x cos2x dx On simplification, we get ∫sin5x cos2x dx=∫sin4x·sinx cos2x dx=∫sin2x2·sinx cos2x…

Q: Find the Indefinite Integral. Sinx cossx xp-

A:

Q: Verify the identity. sinh2 x = (−1 + cosh 2x) /2

A:

Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: integral of sin2x.cos2x dx

A:

Q: Solve part d) only Differentiate Show all work

A: d) y=-12e1x2

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

A: Answer: For the given data

Q: sin“ (x)dx 4

A:

Q: Use sin 0 = 0, sin = 1, and sin t = 0 to estimate sinl E) (Round your answer to three decimal…

A:

Q: Integral sinh2xcosh3xdx

A:

Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

Q: Use differentials to estimate sin (π/6 + 0.01).

A: Use differentials to approximate the value of sinπ6+0.01 The nearest number to sinπ6+0.01 whose sine…

Q: Find the slope of the tangent line to the sine function at the origin. y 2 y=sin -1 Compare these…

A:

Q: by implicit differentiation. 8. Find dx sin(xy) = 1+ cosy,

A:

Q: Arc lenght of Curue y=ln(sinx) at intervol I sxS Ę

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Integrate tanx+cosx-sin2x=1

A:

Q: Explain how to find ∫ tan15 x dx without actually integrating.

A: ∫tan15x dx=∫tan13x tan2x dx=∫tan13x sec2x-1 dx   ∵sec2x-tan2x=1=∫tan13x sec2x-tan13x dx=∫tan13x…

Q: a Write down the derivative of arcsinx. b Use integration by parts to find | arcsinx d.x.

A: a. Derivative of arcsin(x) is given by ddx(arcsin(x)) = ddx(sin-1(x)) = 11 - x2

Q: 2 cosh x+sinhx

A:

Q: Integrate sinh2xcosh3xdx

A: Given : ∫sinh2xcosh3xdx

Q: Evaluate the indefinite intergral ∫sin(-10x) dx =

A: This question can be solved using integration by substitution.