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Q: Using only the definition of RS-integral, evaluate .2

A: See below

Q: Evaluate the double integral given by p2 sinOdrd0 TT JO

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

Q: I need to evaluate the follwing integral or state that they diverge

A: The given integral is ∫02dxx3

Q: Find the Most general antiderivative or integral. by diffentitation. indefinite Check your awnser t.…

A: First we will calculate the integration part then we will differentiate our outcome to match with…

Q: Evaluate the double integral : ľ (o – 162) de dy

A: In the question it is asked to calculate the value of double integral…

Q: Evaluate the improper integral

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Q: ( 3.x³ – 2x³ + 5x² – 2 x3 + 1 dx

A: Given integral is improper fraction form so we need to apply long division method to convert it into…

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.

A: Consider the integration as

Q: Using only the definition of RS-integral, evaluate 2 ,2 d[x}.

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Q: Evaluate the integral: (In z) dz =

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Q: x +1 dx. Vx² + 10x + 28

A: given∫x+1x2+10x+28dxlet us write numeratorAddx(x2+10x+28)+B=x+1A(2x+10)+B=x+12Ax+10A+B=x+1comparing…

Q: Сompute 1. f dx, where f(x)=|x|.

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Q: dt /4+t²

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Q: Using only the definition of RS-integral, evaluate 2 ,2 x* d[x}.

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Q: Evaluate the integral. zp zul s)

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Q: Use Trapezoidal and Simpsons 1/3 rule to estimate integral ( - 2x° + 7x - 5) de.

A: The expression ∫13x3-2x2+7x-5dx. We have to use Trapezoidal and Simpsons 13 rule to estimate the…

Q: Evaluate the integral: fnste" du ds dt

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Q: x* + x2 + 4 dx. x5 + 8x3 + 16x

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Q: dx (x + 2)3

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Q: The improper integral 5dx is V1-x?

A: Since you have asked multiple, we will answer the first one. ∫015dx1-x2dxLet x = sin θ ⇒ dx = cos θ…

Q: State whether it would be quicker to evaluate this integral using horizontal lines (i.e. first along…

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Q: Use a double integral to find the area bounded by y = x², y = -x+ 12, and y = 4x + 12.

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Q: Evaluate the integral or state that it is divergent.

A: To evaluate the integral.

Q: dydr

A: Given, I=∫12∫x221y2·exydydx

Q: Evaluate the double integral where D is the triangle bounded by the x-axis, y-axis and the line y =…

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Q: Using only the definition of RS-integral, evaluate |x* d[x}.

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Q: Evaluate the integral using integration by parts x2 In (x)dx 1

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Q: Evaluate the integral using integration by parts with the indicated choices of u and dv: -9a In(z)…

A: Given : ∫-9xlnxdx

Q: Evaluate the integral a* In(x) dr

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Q: Express the integrand as a sum of partial Praetious and evalnare the integral

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Q: Evaluate the integral (show clear work!): xsin x dx

A: Use formula of integration of parts method

Q: x – x dx J 1+3x² – 2x3

A: Given, The integral ∫x2-x1+3x2-2x3dx  We have to evaluate the integral using substitution rule.

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

A: Given: ∫x3x2+13dx

Q: Using only the definition of RS-integral, evaluate 0.

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Q: By using u = In x, evaluate the integrals In x dx.

A: ∫x-1xlnx dx Now put, u=lnx⇒dudx=1x⇒du=1x dx

Q: Evaluate the integral. Clearly indicate u-substitution steps if required. 19 J2+ 5y

A: Given integral is ∫195+2ydy evaluating the integral with u substitution

Q: Use double integral to find the avea l2: of the regien (4, 3) 3. -

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Q: YA y= f(x)

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Q: Using only the definition of RS-integral, evaluate x* d[x]. 0.

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Q: Evaluate the integral; f, Ni-1, tsin(at)) dt

A: Evaluate the definite integrals  in the following  way:-

Q: EVALUATE THE FOLLOWNG DOUBLE INTEGRAL BY REVERSING THE ORDER OF INTEGRATIC Vx²+! 'dx dy

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Q: Using only the definition of RS-integral, evaluate x* d[x].

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Q: Make a substitution to express the integrand as arational function and then evaluate the integral.

A: Consider the given integral ∫133xx2+xdx Divide the numerator and denominator by x, get…

Q: Vx – x² dx

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Q: what is the integral of z 3^z dz

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Q: Evaluate the integral: (In z)6 dz %3D

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Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (x2 4x…

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Q: Use the substitution formula to evaluate the integral. the integral from 0 to pie/2…

A: To  Determine:Use the substitution formula to evaluate the integral. Given: we have an integral…

Q: The integral of x-Inx with respect to x is,

A: Given,             The integral of x2lnx with respect to x.

Q: .Use integration by parts to evaluate the integral. In(z) dz = z2

A: