A tank is full of water. 1m 6m 12m 3 Set up an integral to find the work required to pump the water out of the spout. Use p= 1000kg/m and 10m/s2.

Q: e17z In(23z)dx By applying integration by parts to the integral we obtain

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Q: Evaluate the integrals ∫(1 + ln t) t ln t dt

A: Given integral is

Q: Find a formula for the integral. dy = y 3(1– 6y) Incorrect

A: We have ∫e6xe3ydy

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) yV 6 +…

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Q: Evaluate the integral. (Use C for the constant of integration.) | 3x2 cos(mx) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) t dt + 10

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Q: First make a substitution and then use integration byparts to evaluate the integral.   ∫t3 e-t2 dt

A: The given integral is Apply substitution method So, the integral is

Q: Evaluate the integral. (Use C for the constant of integration.) 6.3 t0.5 0.5 6e*) dx 6.

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Q: r*dr +1 0.

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Q: Evaluate /1 – y² dydx by first | switching the order of integration. Select one: O a. O b. 2 O c. 3…

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Q: Evaluate the given integral. Use c as the constant of integration. e 22xdx

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Q: Vi (1 + t) dt

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Q: Find the integral. (Use C for the constant of integration.) t (294 - t2)3/2 dt

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Q: Suppose a strange particle travels with a velocity (m/sec) of v(t) = , where t is the time it has…

A: velocity v(t)=1t+1 find the travel between t=1 and t=2

Q: Evaluate the integral. (Use C for the constant of integration.) t3 In(t) dt C must be in capital…

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Q: how to solve problem in photo attached

A: Substitute x = t2 in the given integral and so the limit varies pi/2 to pi.

Q: Two models, R, = 7.21+0.62t and R, = 7.21+0.47t, are given for revenue (in billions of dollars per…

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Q: In 4 r4 1 dy dx ex In y

A: We have to evaluate the integral                                      ∫0ln4∫ex41lnydydx The region…

Q: Calculate the integral: dx J (e² – 4)(e* + 6)

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Q: Evaluate the integral of the equation using Romberg's Method h = 0.5. h/2=0.25 h/4 = 0.125 h/8 =…

A: We have to evaluate the integral of the equation using Romberg`s Method.   ∫12(3x+2x)2 h = 0.5

Q: Find the integral. (Use C for the constant of integration.) [(++ 3)cos( 2 + 6t) at (t + 3)cos( t2…

A: To find the integral

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 15e30r…

A: Let, z=e15xdz=15e15xdxdx=dz15e15x Then we substitute it in the given integral…

Q: Find the integral. (Use C for the constant of integration.) (t + 3)cos t2 + 6t) dt

A: Consider t + 3 as u. Then,

Q: Use a double integral to fi and y = 3(x+ 1).

A: Given the two curves y=x2+2x+1y=3(x+1)

Q: dr 46. First make a substitution, then use integration by parts.

A: Given- ∫x5ex2dx To find the antiderivative first using substitution and then using integration by…

Q: S y sinh dy a

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Q: Reverse the order of integration in order to calculate the following integral: 2 1+x4 0 dx dy.

A: We can evaluate the given integral by using the integral formulas.

Q: LL L dx dy dz 4. Evaluate the triple integral :

A: First Evaluate integration w r to x  Second integration w r to y Third integration w r to z

Q: Estimate the errors in the approximations for T8 and M8 for the integral from 0 to 1 cos(x2)dx , n=8

A: Given: ∫abcosx2dx To find: Errors in the approximations for T8 and M8.

Q: Evaluate the integral. (Use C for the constant of integration.) fa.5* + 9*) dk (1.5× + 9*) dx

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Q: A integral a° (1 – a² )dæ, após a mudança de variáveis æ sin(0) é expressa por

A: Given:∫01x21-x2dx

Q: Evaluate the integral ∫dz/1 + ez

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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

A: Explained below

Q: 2) Colculate the following integrals lby integration by ports formula. a) S2x log,x dx 3

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Q: Calculate the integral approximations T3 and Mg for 10 C" (In x) dx. Your answers must -5 be…

A: The given integral is ∫410lnx-5dx We have to find the integral approximations T8 and M8

Q: Find the general indefinite integral. (Use C for the constant of integration. 8 6u4 – u2 + du 5. u5

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Q: ∫ (e3x+5ex+2  divided by  ex) dx a.) Compute the integral

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Q: 1 v/35y² dy

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Q: valuate xy? dy dx. x² + 1 By splitting into the product of two single integrals. When can you split…

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Q: A 30 chain weighing 10 lb/ft that is coiled on the ground. Which of the following represents the…

A: We are gonna lift the chain 0 to 30 Work = 10(30 - y)  So option A is correct.

Q: r0.5 clnx dx

A: Given: ∫00.5xlnx dx

Q: F-(2x-3)も- 2xyj-42kノexauate SSS v.P dv, x 0,yo, 2, 2×4 2ytz=4

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Q: Evaluate the integral. (Use C for the constant of integration.) t5 In(t) dt

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Q: Evaluate the integral. (Use C for the constant of integration.) 16 In xp (x^ +C

A: Topic:- integration

Q: accordingly, if the order of the integral given above is changed to dyd dx, what will the integral…

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Q: Evaluate the integral: 3 I= S (³ + 6) [8 (t) + 135 (t – 1)] dt. . -1 Express your answer using three…

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Q: A 30 chain weighing 10 lb/ft that is hanging from a ceiling fully extended so it's bottom is…

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Q: 2. A tank in the shape of a cone (as shown below) is filled with water. Assuming the density of…

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Q: Use integration by parts to find the integral. (Use C for the constant of integration.

A: It is required to solve the integration by parts: