EVALUATE THE FOLLOWING 1. Sx² sin x dx

Q: F. Solve the following by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0

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Q: as Calculate (x sin y + e). ax²əy³

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Q: The appropriate change of variables for the dx is Vx²+2x+10 O x=10 sinØ O x+1=3 sinØ O x-1=2 tanØ O…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: for 2 sin (xy t 22) W ニ

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Q: Integrate the following expressions: Sex-e (2x – e*). dx !! (x + cos2x). dx "/2 X cos2x.dx

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Q: Evaluate the following 1, 6(3x- y)dx + (x+5y)dy where C x +y 1

A: Solution:

Q: 193. у - 2 sin z 1/2

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Q: Differentiate the following. Do Not Simplify. y=(sin x)(lnx) b) y = (e² + √√cos x) c) y = = a)…

A: To differentiate the following.a y=sin xln xb y=ex+cos x37c y=1-tan x3x3

Q: H.W Find y' for y = ecosx tan (5x) * (5x? + 1)?

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Q: Differentiate the following: a)y = 2e3x b) f (x) = In(3x² +x + 4) c) y = tan-(2x) d) y = sin-(5x)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: w = x18yz14 + sin(yz)

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Q: d dx [x² tanx]

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: Find for the following function. dx 7 sin x 6-5 sin x dx II

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Q: C. Find y for the following: 1) y = x¹e³x tanx e4x 2) y = x³ cos2x 3) y = xx.sinx

A: Given: (1)  y = x4e3xtanx (2)  y = e4xx3cos2x (3)   y = xx· sinx

Q: Evaluate the following and post your answers in (Activity 2.1) 1.dz 2. Sa dx 3. S(7y6 + 8y – 1)dy

A: 1. ∫13dz=13z+C2. ∫a3dx=a3x+C

Q: Find dx for the following function. y = 3 sin x+ 2 cos x

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Q: the following DE Sove 2 dx + X cosy 2.

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Q4) A) Determine the following 1)√√²/1dx 1)ƒ cosxdx 2) S dx 2+3sinx

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Q: у +x")dx — хау 3D 0

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Q: A) Find for the following functions: dx Y = x³y? + cos-1(y)

A: Since you have asked multiple question, we will answer only first question. If you want any specific…

Q: Find dy/dx for the following sin Jx CsC Jx %3D

A: Given : y = sinxcscx6

Q: S16 sin?x cos?x dx .2.

A: Given ∫16sin2xcos2x dx

Q: Find d?y/dx2 for the following functions: a) y = sin x2 cos 2x b) y = cos*(sec² 3x) c) y = x2(x³ –…

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Q: Let y = ln u and u = cos x what is the value of 9 if x = 4 dx

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Q: b) Determine ? x sin x dx c) Evaluate f xlnx dx

A: We use integration by parts to evaluate the given integrals.

Q: Evaluate [C sin(x + y)dxdy. Answer: 0

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Q: Solve the following DE (use any method) (6xy)dx + (4y? + 9x?)dy = 0 %3D

A: We are given the differential Equation: 6xydx +(4y2+9x2)dy=0  ⇒dydx=-6xy(4y2+9x2)=F(x,y) --(1)…

Q: Integrate the following functions: 1. S sin 2x dx

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Q: find the following antiderivative: 2x^2(-x^3+3)^5 dx

A: Consider the given expression is, ∫2x2-x3+35dx Then, -x3+3=u3x2dx=dux2dx=-du3

Q: J 2 (x+2) dx (x-1)3

A: Given :∫23x+2x-13dx

Q: Evaluate each of the following. a) sec (x) tan (x) dx b) |x – 5| dx + c) /x Vx? – I dx -

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Q: o find for: y = sin(x") + 2* +n

A: Given,          y=sinxx+2x+π

Q: Evaluate : T SS y sin x dydx

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Q: Q. 3. Evaluate the following 2 a) cos x dx . 2 b) [ dx . 4 x* +1

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Q: dx 6. S; ezx+1

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Q: x³ +1 7. S dx x+2 2x 8. e*+1 4 dx 9. 3x+2 10. (tan(Inx)dx

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Q: (b) Evaluate the given trigonometric integral sin r dx (x² + 1)(x² + 9)

A: The given integral is ∫-∞∞sinx(x2+1)(x2+9)dx. It is of the form ∫-∞∞f(x)g(x)sin(nx)dx. To solve this…

Q: Find for the following function. 2- cosx y = 6+ cosx dx

A: detailed solution is given below

Q: Find dx for the following function. y = 3 sin x + 5 cos x

A: Given query is to find the derivative of the given function.

Q: Which of the following can be integrated using substitution? A. Sx sin x dx B. Sx2 sin x dx C. fx…

A: Option(C): ∫ xsin(x2)dx is integrated using substitution. Because let  assuming t = x2 We can…

Q: x*dx (use the substitution 2x = sin O) V1–4x²

A: Topic : integration

Q: Evaluate: . dz dy dx x4+4 O T/24 O T148 O tan-(2)/24 O T/96

A: To evaluate ∫02∫0x3∫0y zx4 + 4 dz dy dx

Q: solve the following equation using substitution: y(xtanx + lny)dx + tanxdy = 0; hint: let z = lny

A: We will use given substitution.

Q: Evaluate So xtan-1 (x) dx Select one: 4 4 T-2 4 4 None of these TT+2 4

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Q: Determine whether the statement is true or false. 4 '1 (x2 + Vy) sin (x?y²) dx dy < 9 1

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Q: 3. Find dx for the following functions а. у %3 (3x3 + 4x – 5)6 sin(3x2-5x) b. y 3D е

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Solve the following IVP: dy sin(z*)e %3D dx y(2) = V5 %3D

A: Use separation of variables method on dydx=sinx2ex3 dy=sinx2ex3dx Now integrate both sides without…

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: S(2x – 3) (3x + 4)dx

A: To evaluate the given integral.