If y(w)dw 11 3 and y(w)dw = 6.7 what does the following integral equal? y(w)dw = %3D 3

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Q: 16. If r'(t) is the rate at which a water tank is filled, in liters per minute, what does the…

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Q: Evaluate the following integral.

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Q: I. Find the following integrals. – 8x +5)dx 2. [(-6x' +9x² + 4x - 3)dx 1.

A: 1. Consider the given integral. I=∫5x2-8x+5dx

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

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Q: (b) Which of the following integrals is equal to –2+ ln 2? (a) 4 dx 4 (b) dx x² (c) / 4x dx x2 4 dx…

A: To find which of the integrals is equal to -2+ln2 (a) ∫12x-4xdx(b) ∫124-xx2dx(c) ∫12x2-4xx2dx(d)…

Q: the value of the integral dx 4.x(ln(9x))² 2

A: In the given question, the concept of integration is applied. Integration Integration is a method of…

Q: 1. Find the following integrals. i) S 3e-2x dx 2x2-1 dx ii) S: 2x3-3х

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Q: Q2: Evaluate four of the following integrals: 2. 3. 2 log2(x+2) dx (x+2) dx 1. r? cosh(lnt) dt…

A: Explanation of the answer is as follows

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Q: Find the following General Integral | 10 • 2x dx 10 .e2x +C 20 . e2x +C 5 10 3x +C 3 O 0 0 O

A: We need to find the general integral ∫10*e2xdx. So,               ∫ 10e2xdx=10·∫ e2xdxLet u=2x.=10·∫…

Q: If 21 f(x)dx 9 - 55 and 21 g(x)dx = 30 – 55 and – 21 | h(x)dx = 35 55 what does the following…

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Q: d/dx integral from e to x^3 ln(t^2+1)?

A: If Fx=∫b(x)axf(t)dtthen dFxdx=ddx∫b(x)axf(t)dt=faxa'x-fbxb'x

Q: Find the most general antiderivative. 9 dx -x2 x zX - IN

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Q: So SAF+1° y¹/3 x7 +1 (Hint: Change the order of integration to dy dx.) Y dx dy.

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Q: 3. (4 pts) Find the exact value of each definite integral. 4x5 dx (b) dt

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Q: d Q. S Vt In(t)dt equals dx a. 4x³ (In x) – /2 ln(2) b. 4x5 (ln x) – /2 ln(2) c.4x³ (ln x) d. 16x°…

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Q: If 9. | y(s)ds = 8 and | y(s)ds = 4.1 3 what does the following integral equal? 3 | y(e)ds = 3

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Q: For which of the following integrals would the substitution method be effective? dx x² + 1 æ/1+x² dx…

A: Among the given options, Substitution can be used in both 1 and 2 but in third one the product rule…

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Q: What is the antiderivative of e^(x/5)?

A: Given:

Q: yA y = f(x) -2 2 8 Evaluate the following integrals by interpreting them in terms of areas: a) /…

A: Recall: Slope intercept form of an straight line:         y-y1=y2-y1x2-x1x-x1

Q: If 33 f(z)dx = 14 82 and -33 g(x)dx = 15 82 and 33 | h(x)dr = 82 what does the following integral…

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Q: -2 2x Jo x2-4 Só dx (Improper Integral)

A: Let I is the value of given Integral.

Q: If 3 p(z)dz: -7 and Lple)dz = 4.7 what does the following integral equal? - 1 |. p(2)dz = -7

A: The objective is to evaluate the given integral.

Q: Find the most general antiderivative. 1. dx 10 3 .3

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Find the producer surplus ( only ) if for a product : p = D(x) = -3r + 40, p = S(x) = 2x + 10.…

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Q: valuate the following integral: x2 + 5x + 6 dx. J ( – 1) (x2 + 3) |-

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Q: In x The triple integral ye² dz dx dy is equal to the triple Y a ln x integral ye dx dz dy.

A: The given statement is: The triple integral  ∫12∫yy2∫0ln x yez dz dx dy  is equal to the triple…

Q: Q3: Find the integral for the following functions: - 1) 2 6 dx 2 x+2 2) S 3co t(x). csc²(x) dx 3)…

A: To find the given integral.

Q: Can i get help step by step with this problem?

A: Given:

Q: Evaluate the following indefinite integrals. 1. S(5x + 4)11 dx 2. Sx (x² + 2)17 dx 3. fx²(9 – x³)5…

A: The solution is given below

Q: 3 4-3x S²³ So dx dy

A: To evaluate the given double integral.∫03∫04-3x dx dy

Q: 3 a) Change the order of integration and evaluate: | | dr dy 0 0

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Q: If - 2 f(x)dæ f(x)dx + f(2)dæ – / f(x)dx, what are the bounds of integration for the first integral?…

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Q: luate 2 Af ² (x-1) 25 dx 7 S² √4+3x dx 1 x² (1+22³)5 dx esinx cosxdx O 플 the definite O inte

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Q: Evaluate the given integrals. 3x dx 1. S 2x*-1

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Q: Use substitution and partial fractions to find the indefinite integral.

A: To Determine: Use substitution and partial fractions to find the indefinite integral. Given: we have…

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A: Let's find.

Q: Find the most general antiderivative. 4 dx

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Q: dy Find in terms of x and y if x In y + yo = 4 ln x. dx

A: Solution is written in below steps.

Q: Find the general antiderivative of f (x) = 4 x ln x²

A: Given: fx=4xlnx2

Q: In item number 5, the integral of Sx3 dx is obtained by applying what Basic Theorem of…

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