(a) Evaluate dx. xVx* +1

Q: What is the derivative of y= 3Arcsin xº, 3 Arcsin x In 3 A y' = 1 - xa 3 Arcsin x* In 3 3 B y' : (а…

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Q: > Evaluate the Antegral dx ax45x +2

A: Rewrite the given integrand as follows. 32x2+5x+2=32x+1x+2=22x+1-1x+2

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

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Q: Find

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Q: x In(x) dx, where x >0

A: Given query is to eveluate the integral.

Q: 5.Use trapezoidal rule to evaluate f,(x² + 1)7 dx by taking n = 4.

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Q: Compute d/dx  sin-1 (x/x+1)

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Q: 3) S x tari'x dx X,

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Q: 14.Use a substitution to evaluate / aVx+1 dx rVa+1 dx. Show all details of the process.

A: To solve- given integral by substitution  method.

Q: 2. Show that P(1-x)° dx= x'(1-x) dx. %3D 0/

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Q: If f = 5x2y2 - XY2 then find af at (3,1) %3D dx

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

A: Given,  ∫x-5(lnx)2dx

Q: Use implicit differentiation to prove that la"] = d nxn-1 dx

A: ddx(xn)=nxn-1

Q: dx Evaluate x²/4 x²

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Q: Let -1 y = tan' 3x2 – 1 dy Then dx

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Q: 9. Integrate: Ja (x- 1) cos(x? - 2x) dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2 dx =

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Q: Find the indicated derivative. dp for p q² + 2 5q – 3 %3D dq dp dq II

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Q: Evaluate fx" In x dx for n ‡ −1. Which method should be used .-1 to evaluate fx-¹ In x dx?

A: We have ∫xnlnx dx   , n≠-1 Integration by parts is ∫fg dx=f∫g dx-∫ddxf∫gdx dx Using integration by…

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

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Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

Q: Evaluate the derivative of the function. y%3Dsec(6 In 8x) -1(6 In 8x) dy %D dx

A: The objective is to find the derivative of given function

Q: Evaluate 2Sin x´dx, by (i) mid-point rule, and (ii) Simpson's 1/3 rule.

A: i)Given:        ∫242sinx2dx   Mid-point rule:       ∫abf(x)dx=∆xfx0+x12+fx1+x22+fx2+x32+...…

Q: Verify the formulas by differentiation. ∫1/(x + 1)2 dx = -1/x + 1 + C

A: Here f(x)=1x+12we have to verify that ∫1x+12 dx=-1x+1+C∫f(x) dx=∫1x+12 dxsubstitute…

Q: nd d²x/dt² as a function of if 4 = 7x sin x.

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

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: 5 一=A+hxsl-x dy=?

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Q: prove that (d/(dx))(sec^-1x)=1/(xsqrt(x^2-1))

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Q: Integrate dx/(x+1)(x^2+16) from 0 to 1

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Q: 2Linear edluotion 5. dy dx

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Evaluate integral x^2e^-x^3 dx

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Q: Find the general anti-derivatives. (a) Evaluate ∫ xsin x dx

A: We use integration by parts

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

A: True

Q: Find (x' In(x)). dx

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

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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: Find the intergral of i. SVīdx ii. (x - 1)dx

A: According to Bartley guidelines I have, to solve only first question so repost the problem for…

Q: ¹In(1+x) -dx X

A: According to guidelines we must answer only one of the multiple questions given. So, I answer only…

Q: dx Evaluate

A: ∫0919+x2dx

Q: Q2 \ Evaluate .1 dx by using trapezoidal rule. 1+x2

A: See the details solution in below

Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: 1. Use residues to evaluate 1 : xe dx , (a>0).

A: Let fz=ze-zz2+a2 The poles of the function fz are ±ai Choose the contour C consisting of the real…

Q: 7) Find dx if y- J

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Q: Verify the differentiation formula.

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Q: (In x) dx Integrate: 1

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Q: 2. Solve the ODE using Separation of Variables. dy dx 5x²+4 y+1

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Q: O dx 2Smx-Cosx+5

A: We have to find the integral.