Q1 Evaluate the following: Ine dx n/3 4 sinx 1- Jo 2- Jo x(Inx)2 3-m 2e*cose*dx in 1-4cosx

Q: Find dy/dx for the following : 1) y = x3 + sin x² + sin-1 5x 2) y = 32x + In (sin x²) + In(sin-1 5x)…

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Q: 5) find the integral J8 sin 2x * cos2x dx

A: see below the calculation and answer

Q: Evaluate by Beat function: 1 = 5 x²-1 dx 1 + x4 Hint: Bixig) = ] _*-1 ans: (1+tjxty 1| + Sin Ta dt

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Q: * عند )90،0( من أجل dy / dx قيمة 5y2 + Iny + sinx = 0 = ال لانهاية O لا أحد من الآخر O = 0 O =-1 /11

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Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

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Q: Evaluate ]e * cos (7x) dx. Seex cos (7x) dx = %3D

A: Explanation of the answer is as follows

Q: 7. Evaluate the integral. J CoS X dx 0 1+sin2x

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Q: Q3. (30pt) Calculate the integral 2x³ – 4x + 1 - (1– cos x) dx 1+x? a) for n= 10 according Simpson…

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Q: I. Find dy/dx of the following: COS X √4-3x² 7. y In- 8. y In, 6. y = In(In x) 9. y + ln xy = 1

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Q: Compute d/dx  sin-1 (x/x+1)

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Q: Evaluate the integral: 2 sin(3x)cos(3x)dx A B 1 4/6 —— 1 wlr 3 1 - wlw

A: Given ∫π3π2sin(3x)cos(3x)dx

Q: / Find dy/dx of the following function y = 3tan-2*ln(sec(2x)

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Q: Q1\| Integrate SIX of the following functions: sinh(lnx)dx 1) 3) | sin?(2x).cos(3x) dx 2) ex. sinxdx

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Q: I. Find dy/dx of the following: 1. y= In 2x 2. y (In x) 3. y= In(tan x)

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q1|| Integrate SIX of the following functions: sinh(Inx)dx 1) 3) f 2) | ex.sinxdx sin (2x).cos(3x)…

A: As per bartleby guidelines we only give first three questions answers.

Q: Find dy/dx for following functions. 1) y = csc-(e2lnx) + sin-1(2lnv3x)

A: it is given that,  y=csc-1e2lnx2+sin-1(2ln3x) we have to find dydx=?

Q: 2. Find the following indefinite integral. et cos cos (3x)dx

A: To evaluate ∫excos(3x) dx

Q: Find d^2y/dx^2  Sinx+cosy=1

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Q: Q5: Find dx (1) In(x - y) = xy + y² : (4) y = x sinh 2x-cosh 2x for the following functions: (2) y =…

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Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In () (Inx)2+ (In Vx)3 3* 2) y = tan-1 (x*)

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Q: (1-1/2 x^2)cos x 3. y = 2cosxsin2x-sinxcos2x 4. y= x^3 - x^2cosx + 2xsinx + 2

A: Differentiation: 1.y=sinx2+cosxdydx=(2+cos x).cosx-sinx(-sinx)(2+cos…

Q: Find dy/dx for the following : 9) y* = sin-1 x %3D 10) y = xtanx + sin-ly 11) (Vy)* = (In…

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Q: 8. Evaluate the double integral. cos 2x.sin y dy dx

A: Solution-

Q: Q1 Evaluate the following: 2- So x(lnx)² In 2e*cose*dx 3-Jın dx TT/3 4 sin x dx So" 1-4cosx In 1-

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Q: 1. Calculate the Integral sin x cos x dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q1:Choose theappropriate value to integrate the following sin(In x) dx (sin (In x) – scos (In x)) +…

A: Solution I=∫sinin x dx        Let  lnx=t⇒x=et         1x dx=dt          dx=xdt…

Q: I. Find dy/dx of the following: 1. y= In 2x 2. y= (In.x) 3. y = In(tan.x)

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Q: 211 3- sin nx dx [1-cos2nx]dx 1t, where n %3D

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Q: Find the definite integral of ƒ™/* cos 3x sin 5x dx. -π/4 Option 1: Option 2: Option 3: Option 4:…

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Q: dx J x2-4x+5

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

Q: J (5x)sin( nn : 1.5 )dx + , (5x – 15 )sin NT X 1.5 dx 1.5

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Q: 1) Evaluate the integrals: (a) f sin³ (2x) cos (2x) dx (b) sin³ (2x) cos (2x) dx

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Q: 10 a) Evaluate x cos(5x) dx by using integration by parts.

A: Given:

Q: 1. Differentiate the following function: y = Jo Hs dt. 1+t3 ctan 2x 2. Differentiate the following…

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Q: I. Find dy/dx of the following: 4. y=√1+In²x 7. y In- COS X √4-3x² 5. y = sin²(In x) 8. y In, x- 6.…

A: Topic - Derivative of a function Power rule: ddxxn=nxn-1ddxln(x)=1x

Q: In 3 by Pots tien 3) S (4 - x)e"'dx calculate without integre (f Ju

A: Given,

Q: 5 一=A+hxsl-x dy=?

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Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In ( 1 + (Inx)2 + (In vx) 3 3x 2) y = tan-1…

A: Use formula of derivative  to solve

Q: 1 dx is finite -1 X Select one: True False

A: True

Q: 9. Find the value of 2sinhxcoshx O a. cosh (2x) O b. sinh(x) O c. sinh(2x) O d. sech (2x)

A: Given:        Value of 2sinhxcoshx     we know that                             coshx=ex+e-x2…

Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In A + (In V) (Inx)2 2) y = tan (x*)

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Q: Q2 / Find dy/dx for the following functions; 3 1. y = Vtan(sin(x² – 1)) d 2. ((1 + cot x)³) dx x². d…

A: To find dydx differentiate 'y' with respect to 'x'. For the given values of 'y' we have to find dydx…

Q: Q2/ Find dy/dx for the following functions: x4 In x - 16 1. у%3D (ln x)3 2. У 4 3. у %3D0 (sin (In6)…

A: y = (ln x)3 To find the derivative (dy/dx) or the given expression we will use chain rule. Chain…

Q: In 3-Jın Evaluate the following: dx 2e*cose*dx T/3 4 sinx dx 1-4COSX 2-Jo x(lnx)² 1- Jo" x(Inx)?…

A: Given that three different types integration we solve these integration by using general formulas of…

Q: Q2- Find for the following functions :- dx 1- y = (Inx)/tnx 2- y = x cos-1 x - v1-x² +sin-1x

A: We have to find dydx for the following functions... 1. y=lnx1lnx2. y=xcos-1x-1-x2+sin-1x

Q: Find dy/dx for the following : 1) y = x + sin x² + stn-! 5x 2) y = 32x + In (stn x²) + In(sin-1 5x)…

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Q: 15. Evaluate the integral 10 ·dx (x – 1)(x² + 9)

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Q: 1. Integrate by parts and evaluate x cOS x dx 0, а. b. In(x²) dx 1 In x dx x5 С.

A: By using Integration by part  ∫udv=uv−∫vdu