Integrate the tollowing: de=-QC-KC dt 2.

Q: Change the order of integration and hence, evaluat 1 v2-y2 y dx dy. x² + y2 y30 x%3y

A: We will solve the problem

Q: e dy da by reversing the 4-V Evaluate order of integration.

A: Change the limits:

Q: Use order of h® Romberg integration to evaluate xe2x dx

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Q: Calculate f" (S (VE +27) dy) da by interchanging the order of integration.

A: In the case of a double integral, if both the integrals have constant limits of integration, then…

Q: -jwt dt ーの 2. 70

A: We have to solve given problem:

Q: V24z – 2z3 dz dy dæ, by changing the order of integration to dæ dy dz.

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Q: Find dy at taal dt and ya Vltx? and X = t.

A: Explanation of the solution is given below...

Q: Describe how to choose u and dv when using integration by parts.

A: There is an acronym called “LIATE”: Set u to be the first function on the list below (ordered),…

Q: The double integral

A: answer is in step 2

Q: Why is it "h • db/t + b • dh/dt"  instead of   "h • dh/dt  + b • db/dt"?

A: Using Rule of differentiation.

Q: dv Integrate ду 1 partially with respect to y. II

A: To partially integrate the given function with respect to y, implies x will be treated as a constant

Q: (メフき お! then Rind fcx) and ec3) メ+ %3D fC) = e %3D by using integration ?

A: f(x)=ex+1-f'(x) and f(1)=e

Q: sketch, reverse the order of integration then evaluate 2. xely Iny

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Q: Convert the differential equatim Inte c System and Solue the sustem: T0-20+3),=D0

A: See the attachment

Q: Reverse order, then integrate SaE ) dydx. Vx \1+

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Q: Calculate dy/dt using the given information. xy2=4; dx/dt=-5, x=4, y=1

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Q: .2 What is the reversed order of integration of 1 dxdy? a. II Vx* +1 dydx 0, O b. x4 +1 dydx 0, .8…

A: Topic:- application of integration

Q: 2. y" — у %3D 4 cost у (0) — 0 y'(0) = 1

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Q: Please solve in steps. And highlight main equations.

A: The given curve is: σ(t)=sin(t) cos(t), 3t2, et

Q: Reverse the order of integration and evaluate the double integral dxdy

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Q: Change the hence order of integlation and evaluate Siny dydx

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Q: dt Explain what is wrong with the following integral: |t| VE2 – 1

A: given  I=∫-111tt2-1dt from I  ft=1tt2-1domain of f(t) is t>1,t2-1>0therefore-1<t<1

Q: Evaluate , Se(x + y)dxdy by reversing the order of integration.

A: This is double integration problem

Q: Vēt VE dt

A: Our Aim is to evaluate the integral given below:-

Q: Use a substitution of u = r to integrate : dr.

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Q: sketch, reverse the order of integration then evaluate 2. d xely Iny

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Q: Could you please explain the integration part? It's not clear to me how reached to the answer

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Q: Find the total differential. 2x + y W = 5z - 4y

A: For a function of two or more independent variables, the total differential of the function is the…

Q: 3. Reverse the order of integration in (2xy + 1)dxdy and then evaluate.

A: Explained below

Q: 6: Change the order of integration; -1 f(r, y)dydr + f(r, y)dydx

A: Interchange the x and y limits For first part y=x⇒x=y2x=0, y=0x=1, y=1∫01∫0x f(x,y)dydx=∫01∫0y2…

Q: Use two -point gaussian square to approximate the following double integral:

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Q: dz + et+z = 0 dt

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Q: (i) Change the order of integration in the integral. Wi-x dx dy and hence evaluate.

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

Q: S S.(x + y)dxdy by reversing the order of integration.

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Q: folve dt? at by diagonalization method

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Q: S f(x.y)dxdy- Reverse the order of integration in 0,

A: The given integral is: To find the reverse order of integration.

Q: Vx 3+4x+8 dx 2 vã (Vx?)

A: The given function is x34+4x+8xx23 We have to identify u and du and the form of the integral of this…

Q: What is the antiderivative of the integrand dx ? 2e*

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Q: integrate t dt/(1-ct) where c = const.

A: Solved below

Q: Evaluate the integral. (Use C for the constant of integration.) At dt te-4t

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Q: Reverse the order of integration in S(2xy + 1)dxdy and then evaluate.

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Q: Evaluate wing Integration by Tangorometre bodetrdadin 1.S Jas-x? dx

A: Solution

Q: What is the integrating factor of (ry + y) dr + (r + 2y-1) dy %3D

A: Given xy+y2dx+(x+2y-1)dy=0Compare above differential equation with…

Q: dt #2. t Vt? – 16

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Q: sketch , EvValuate & reverse order af integration de dy

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Q: Determine by direct integration the moment of inertia of the shaded area with respect to the x axis.

A: From the given graph, The function y = k x13  limits from x = a  to  x = b