(Hint: W S, pgA(y)D(y)dy) In this question, identify A(y) and D(y) first, then write W as a definite integral. Do not Evaluate the integral. Leave the constants p and g in the answer. A water tank, shown below, is shaped like an inverted cone with height 12 m and base radius 1.5 m. If the tank is half full, how much work is required to pump the water to the level of the top of the tank and out of the tank?

Q: Evaluate the definite integrals using the graph of ƒ (x) below. 6 (a) (b) (c) 3 f(x) dx = 5 [₂º f…

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Q: In the following equation/s, find the indefinite integral :-   See the equation as attached here.

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Q: Find the general indefinite integral. (Use C for the constant of integration.) |(u + 5)(8u + 5) du

A: First we expand the expression ∫(u+5)(8u+5)du=∫8u2+5u+40u+25du=∫8u2+45u+25du

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Q: In the following equation/s, find the indefinite integral :- see the equation attached here

A: To Find: ∫19z-5-19z+5dz

Q: In the given equation/s as follows , find the indefinite integral:- See the equation as attached…

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Q: Evaluate the following improper integral. If it diverges, then type DNE. Otherwise, find its exact…

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

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Q: e | 8y³ In(y) dy 1

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Q: In the following equation/s, find the indefinite integral :- see the equation attached here .

A: Given: ∫t2t3+1 dt

Q: In the given question/s as follows , find the indefinite integral :- See the question as attached…

A: To find: The indefinite integral of ∫cos5tsin tdt. Formula used: Power rule of integration:…

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

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A: we have to solve the problem

Q: In the following equation/s, find the indefinite integral :- see the equation as attached here

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Q: Q2) A. Evaluate the following integral using the Simpson's rule, giving the answer correct to 3…

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A: The given integral,∫8cosθ-1dθ

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Q: Find the indefinite integral. (Use C for the constant of integration.) xp x(In x8)9 1 + C g10in (x…

A: Please see below.

Q: I. Evaluate the following integrals. 1. J 1 - coth² (log₂x) dx x cosh (log₂ x)

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Q: - Find the value of each indefinite integral. You do not need to simplify your answers. (a) 1 dt t -…

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Q: -f(x) 12 Yukarıdaki şekilde y = f (x) fonksiyonunun grafiği verilmiştir. Buna göre

A: Given : from graph we can find  f(-3) = 3 f(0)=2 f(2)=1 f(-6)=0

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Consider the expression 3x2-2=u. The power rule of differentiation states that d dx(xp)=pxp-1, where…

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A: Gven that∫0189dx1+x2tan-1xSolution:∫0189dx1+x2tan-1xlet,…

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A: Given- fD=Dn To Find- The value of 1fD·1

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

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Q: Find the general Indefinite Integral. (Use C for the constant of integration.) (u+7)(4u+9) du

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Q: S(e* +e-*)? dx

A: To determine:

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