Set up the integral that should be used to find the total force on the face of the dam.. Use increasing limits of integration.

Q: Inz dr. Use integration by parts to evaluate

A: We have to do the integration by parts.

Q: /Reverse the order of integration, then evaluate the following integ -ex dydx + [* [L | dydx I :

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Q: Express the integral in terms of the variable u, but do not evaluate it. | 7xV9 - dx; u = 9 – x?…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Evaluate the trigonomnetric integral ∫(sint)5(cost)3dt

A: Given, ∫sint5cost3dt  We have to evaluate the  integral

Q: Evaluate the integral using integration by parts. |cot (8y)dy

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Q: 81x² Vy? + 16 dy dx ,2 3x

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Q: calculate (by integration, showing all working) the distance from the nose of the jar to the centre…

A: Given figure: Given, z2=14yz=12y

Q: Use integration by parts to evaluate the integral: In(s)ds

A: Given, To Evaluate

Q: A certain spring has a natural length of 4 meters. If it stretched so that it is 6 meters long, it…

A: A force of 30N is required to stretch the spring 6m−4m=2m from its natural length. Using Hooke's law…

Q: Why is integration used to find the total force on the face of a dam?

A: Given: Important of integration to find the total force on the face of the dam

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: Use integration by parts to evaluate the definite integral. t° In(t)dt

A: Given that, I=∫1et2ln(t) dt we have to calculate the value of the integral.

Q: Apply trapezoidal and Simpson's rules to the integral

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Q: Evaluate the integral of (t)(sint)(cost) dt

A: We need to evaluate the following integral ∫tsintcostdt

Q: Evaluate the integral by reversing the order of integration. dx dy

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Q: Use Property 8 to estimate the value of the integral.

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Q: (b) Interpret as a volume and calculate the integral without integrating.

A: As we know that Volume of a solid by integrtion is written as ∫∫∫dV=∬zdydx=∬xdydz=∬ydzdx

Q: (b)

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Q: Evaluate the integral using integration by parts. 40 sec 20 do

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

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Q: A tank that has a shape of an inverted circular cone with height 15 meters and base radius 6 meters…

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Q: If a force of 128 lbs is required to stretch a 10-ft spring by 4 ft. How much work is done by…

A: Here we have to use the concept of integral calculus

Q: ST cos(x²) dxdy Jo

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Q: Use integration by parts to evaluate the integral: $ds %3D

A: According to integration by parts:

Q: about the y axis, which integral below giv area?

A: Introduction: The formula for the surface area of the curve rotated about y-axis is given by,…

Q: The improper integral

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Q: bu On30 do + C In b Hint: budu

A: topic - integration by parts

Q: Sketch the region of integration, reverse the order of integration, and evaluate integral x?e"Ydxdy.

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Q: ydy (y–1)*

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Q: 2. Find the volume of a cylinder with a radius of r and height h by integration.

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Q: O Reverre the order of integration and do not ewaluate dy dx Show the region.

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Q: Evaluate the integral using substitutionand then Integration by

A: Let I=∫12exdx Assume x=t2, ⇒dx=2t dt

Q: Evaluate the integral by reversing the order of integration. 12 Se dx dy

A: we have given an integral, I=∫08∫y325ex4dxdy we have limits for x arex=y3 and x=2 x3=y and x=2 we…

Q: Use integration by parts to evaluate the integral: fore'd

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Q: Evaluate the integral using tabular integration by parts. 8 x³ V2 x + 1 dx +C

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Q: check your Pesult by Integration.) Find nderinite integra erentiation. ne constan (5 – x) dr

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Q: O Interpret volume and calculate the integral without as a integrating.

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Q: b) Calculate the iterated integral by first reversing the order of integration. (1 ye? -dxdy

A: To calculate the iterated integral by first reversing the order of integration. ∫01∫y1ye2x3dxdy

Q: Evaluate the integral using tabular integration by parts. 5 x° V /2 x + 1 dx +C

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Q: Evaluate the integral by reversing the order of integration. So Soy e dædy =

A: Given: ∫01∫8y8ex2dxdy

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

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Q: * dr; By using Trapezoidal Rulc, calculate the integral

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Q: A bar of material with a cross sectional area of ​​40 mm ? is subjected to tensile force of 120 N.…

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Q: Consider the integral z'e* Applying the integration by parts technique, let and

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Q: et dx Ve²x+49

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Q: Change the order of integration, then evaluate the iterated double integral. 4e dydx

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Q: 1–q² (b) Interpret Vr2 + y? dydx as a volume and calculate the integral without integrating.

A: b)

Q: The value of the triple integral

A: Integration is the process of finding the anti-derivative function of the given function. The…