3 X dx V16 – x? 16— х*

Q: Xtan+4]dx - xdy= of + y]dx - xdy=0

A: Given differential equation is xtanyx+ydx-xdy=0 This equation can be rewritten as,…

Q: x+6 Calculate the integral: dx Vx² + 12 x + 12 -r/2 + 12 r+ 12 + C.

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Q: dx J (x² + 2x – 10)²

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Q: L, sgn(x+ 1) dx = 1. 0 2. 2 3. -2 4. 1

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Q: dy (а) Find for y = cosh(4x). dx 10 (b) Find ( + i) 4

A: Given that: (a)y=cosh(4x)(b)14+14i10

Q: 2dx J x (3(ln x)2 + 12 ln a – 15) -

A: Answer

Q: +y = e* + cosh 2x+x +y%3D

A: Solution:-As per guidelines I submit first question only

Q: VI-x? x dy dx •1/2 9. V3x

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Q: 1 So dx 4 V1+x

A: The given integral can be written as, ∫0∞11+x4dx=∫0∞1+x-14dx Substitute, 1+x = t  => dx = dt…

Q: SFEx)dx =1| and F(X)dX = 16 0. find 55 fCX)dx math can't

A: We find the value of the given definite integration by breaking the limit of integration.

Q: dy from the equation 3xy2 + 4 dx Evaluate y _ y-5 11 when x =1 2x2 – 1

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Q: 까지 dx 10. A. In x + C B. In² [x] + C C. m² 1x1 xl 2 + + C

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Q: dy You need not expand your answer. Calculate dx 7x2 - 9x + 13 y = 2x + 4 dy dx II

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Q: S For x 1/2 x-x3 dx and using the substitutionu=x1/2

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Q: Q.4 (a) Evaluate (+4+16r²+20x+9 dx. (x+2)(x +3)?

A: Let us solve the integral ∫3x4+4x3+16x2+20x+9(x+2)(x2+3)2 using partial fractions.  The denominator…

Q: y2 а а ey dxdy a

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Q: dx 3.2 I = S: 1+vx+1

A: Solution... I have two solution...

Q: 16. J x² 4 + x² dx

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Q: .2 x +9 dx J (22- 1) (a2 + 4)

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Q: 6x? + Sx t 16 dx +2x +6 x + 3? a.Sinlat3l+; 4 Cが)返が)+c er none

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Q: (х — 3)dx J («+2)(х + 1)?

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Q: (х + 3)2 dx. J V40 – 6x - x²

A: Evaluate ∫x+3240-6x-x2dx=?

Q: (x– 3)dx J (x² + 2x+ 4)²

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Q: dx J (x – 7)²

A: Given,           ∫xx-72dx

Q: (a) J(5 + 클로 + 클)dx 2 2 (a) S(5 + x +x')dx

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Q: / 2x/64 – x* dx Evaluate the integration by substitution 16л 4л

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Q: e + d'x 2 dx dt + 5x = 8et when t-o, x -0 = 8

A: Please find the detailed solution in below images

Q: r1.25 x2 dx with h=0.25. 1+x3 Using numerical methods find the value of

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Q: dx 43. Evalua Jx +2)(x² +4x + 10) te

A: To simplify this integral, we use partial fraction decomposition. Thus,…

Q: dx 10. (2² – 1)(x – 2) dt

A: Answer

Q: J 6x x +3 dx

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Q: 7 dy find at x= 1. dx If y = 6x + dy at x = 1 is The value of (Simplify your answer.) xp

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Q: (х + 3) e* - dx js equal to (x + 4)? 1 +c (x + 4)² et (x + 4)² x + 4 et x + 3

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Q: За? + 2 dx J x³ + 2x + 10

A: We have to solve

Q: 5 dx J (x - 1)(x2 + 4)

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Q: Evaluate (i) dx S √e xlnx√(2lnx)² – 1

A: We are asked to evaluate the integral

Q: evaluate the integral.

A: Given integral can be written as

Q: L, sgn(x- 1) dx = 1. 0 2. 2 3. -2 4. 1

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Q: 4. y dx -x dy = x + y? .2

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Q: Sf(x)dx = 5.m L,(4f (x) + 2)dx. Given find

A: by integration

Q: dx 3. S x V1-4 In2x

A: follow next step

Q: (х — у)(4х + у)dx + x(5х — у)dy %3D0

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Q: ľ V2x + I dx S" x e*-1 dx

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Q: dx 3. J 2(81+x*)³/ª

A: In the given question we have to calculate the integral s.t…

Q: 5 dx (c) J 15x + 1|V25z2+ 10x

A: According to the given question, solving part (c) (c) ∫55x+125x2+10xdx…

Q: (x² + y²) dx + (2xy + cosy) What is SN ? δη

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Q: x dx 1) S: 1+3 x?

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

Q: 2.x +1 dx. J 6x +x-15 (ii)

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Q: 1. 10. dx = %3D 11. S 8a da = 2. 2. 12. S dx 美 CX 3.

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Q: dx 1. S- x Vx2 -9

A: According to the guidelines in case of multiple questions, We are only supposed to solve first…