If Jo flx)dx= 31 and Jo gixldxX=16. find So'[ 4f (X\ + 6glx\] dx

Q: xe 2, x Cosz dx

A: Integration by parts, ∫udv=uv-∫vdu u is the first function Given integral, ∫x exdx

Q: If Sin xy² = 4x − 3y, find - dy_4-y²cosxy2 dx 2xycosxy2+3 dy dx Option 1 O

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Q: 1. Evaluate (i) dy dx, 3

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Q: Evaluate S 2y²sinxy dy dx

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Q: What is dy/dx of 1/2e^2x

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Q: In(x) 1. Evaluate -dx if possible. If not possible, explain why.

A: As we know that the integration by parts:- ∫udv=uv-∫vdu

Q: Find

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Q: Ex Evaluote S 4e sinhx..dx

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Q: Obtain a-(In x)? dx.

A: Given,  ∫x-5(lnx)2dx

Q: Use the trapezoid rule withn=4 to estimate dx . Answer must be in fraction.

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Q: Q3. Evaluate : IL (2) * dy dx

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Q: 2. dy + ycotx = 1 dx

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Q: Sxe* dx

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: Show that coshxt sinhx= ex and coshx- SinhX = e-x, Hen ce deduce cosh?x- Sinh?X=|

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Q: 9. Vy + dy 415

A: We will be using the given rules to evaluate the answer

Q: (雲) 1 dy tion 1+ is = 3 dx wy da 3, 1 12, 1 1, 15 15, 1

A: We have to choose the correct answer

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Q: Evaluate f, f,(1-2) L(-dy dx dz

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Q: find dy dx 15 In 4+ xe) 6

A: dlnax+bdx = a.1ax+b.

Q: OFind dy 9= (x²45x)"(x + Sec

A: The given function is: y=x2+5x4x+sec x5

Q: 30. 5e dx 31. Зи du - 1 33. x² dx 35. (x+5)* 37. xp (3 In z + 2)4 39, -dz

A: We will solve the integration.

Q: d Verify coth x = - csch² x. dx

A: Differentiation is the rate of change of some variable with respect to the other variable. If a…

Q: is 4= Sinh(2sinhix) shaw Hh at %3D 2 (a)

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Q: what is dy/dx of x+ylny=y+xlnx+1

A: Given,          x+ylny=y+xlnx+1

Q: Compute the following. LA dx Jx12/7-26x-dx

A: to findI=∫12x127-26x-4dx

Q: when

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Q: please solve determine dy/dx if xy = ecsch(xy)+πcos(0)

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Q: Let  un = x4 + 7x2.  Find  du dx

A: un = x4 + 7x2.To find dudx

Q: Find dy/dx if 5x1/2 + 6y1/2 =15. dy/dx=?

A: We have to find dydx for 5x12+6y12=15.

Q: Differentiate implicitly to find dz if xz + In(xy) + = 10.

A: Given an equation We have to apply the implicit differention to the equation

Q: 2) у(и? + 1)du + (из — Зи)dy — 0 -

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Q: too e dy

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Q: if x = acos30, y = asin30 , find /1 + 2 dx

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Q: 3. Stanh3x dx = Jsinh3x, Ssinh3x_ dx %3D u = cosh3x du = %3D

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Q: Differentiate implicitly to find dx 2y? - xy + 3x = 4 dy dx

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Q: Evaluate ( Sech²(In x) dx

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: Q3) Find dy/dx if 1- y= In /x 2- y3xsin

A: 1) d(ln(x))dxApply the chain rule: 12ln(x)d(ln(x))dx

Q: find dy/dn in5 フx 34+2

A: Since you have posted multiple question We solve only first question  for reaming question post…

Q: Evaluate L S dx dy. O 1 2/3 1/2 O 2

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Q: Given: y = cosh cosh (ex²)

A: Formulas:ddx cos hx =sin hxddx ex =exddx xn = n xn-1

Q: what is dy / dx if y^2 = x

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Q: find the antiderivative of dx/sqrt(ex-1)

A: To find : The antiderivative of dxex-1 Solution The antiderivative can be evaluated as, ∫dxex-1 Put…

Q: Differentiate. y = In (7x + 8) In (8x + 5) dy dx II

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Q: differen tiatin, de tomine dx リ= (aH) (xs) 5 (as) (x-+)

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

Q: 19. S.cosTa de cos7x dx 5

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Q: find using Serie s リ2 dx "I+X 2

A: As a first step, we need to obtain a series for the integrand.

Q: 9. 2y(у? — х)dy — dx, when x %3D2,у %3D 2

A: Given that: 9.     2y(y2-x)dy=dx,    when x=2, y=2     NOTE: As per our answering guidelines, we can…