Area = 3 Area = 3- %3| 9. d a Area = 10

Q: Use the graph to find the values of the integrals. ∫ a^b f(x)dx ∫ b^c f(x)dx ∫ a^c f(x)dx ∫ a^c…

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Q: Determine whether the following statements is true or false, and explain why.

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Q: x' +4x 2. J dx – 2.x² – x+ 2

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Q: Find the exact value of the definite integral below, using the substitution u = x - 1²/1. X (√6+√2)…

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Q: (a) Calculate the following integral: f(x) dx (b) Calculate the following integral: r20 f(x) dx 10

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Q: Explain why each of the following integrals is improper  integral 1 to 2 x / x-1 dx

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Q: Find the exact value of the following improper integral: ex L x2 dx

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Q: Assume function given . Evaluate the following integrals, if possible.

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Q: Q1 - Evaluate the following integrals i. Sxe-*dx

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Q: Evaluate the following integral by reversing the order of integration. 2 "dxdy note: e* = exp(x*)

A: Changing the order then integrate.

Q: 4 3 b. J 20(2x + 1)°dx 1

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Q: . Evaluate the following integral by using the substitution x =6sin0: 1 dx x'V36 – x²

A: Consider the integral: ∫1x236-x2dx…

Q: Evaluate the integral by making the given substitution. (Remember to use absolute values where…

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Q: (2x² + 3) dx (x² + 1)2

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Q: 3 Si S(3x² + 9y²) dxdy

A: To Find:

Q: For what values of a is each integral improper? Explain.

A: (a) consider the integral ∫a5dxx+2.

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: We can solve this by using substitution.

Q: Approximate the definite integral for the stated values of a, b, and n by using Simpson's Rule.…

A: Use Simpsons formula for finding the definite integration

Q: dx Væ(x+1)

A: Let I=∫14dxxx+1. Put x=t2 and differentiate it with respect to x. ddxx=ddxt21=2tdtdxdx=2tdt

Q: 4. For each of the following improper integrals, find the value of the integral or explain briefly…

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Q: (4) / VElmz Va In x dx In x dx x2 (e) (f) / 2 In? x dx

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Q: a) For each of the following improper integrals, find the value of the integral or explain briefly…

A: We will find out the required value of improper integral.

Q: e+?dx 3. | Vx + 3e*dx 4.

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Q: Q4 Evaluate the following integrals cosh? (=) dx -In2 1 - fe 2 - cosh(lnx) dx

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Q: a xp: х? Q.90 What is the value of the definite integral, J + Va-x

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Q: Evaluate the following interval, or show that it does not converge

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Q: x +1 1. dx x* — 5х+6 dx 2. x(x² +1) X\x

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Q: The graph off is shown. Evaluate each integral by interpreting it in terms of areas. У yf(x) х 0 18…

A: By integration with respect to x axis it means that find area between the curve and x axis.If curve…

Q: dx ax + b

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Q: 6. For each of the following improper integrals, find the value of the integral or explain briefly…

A: (a) Given integral is ∫01003x−12dx Use formula ∫xndx=xn+1n+1+C Hence,…

Q: Evaluate the definite integral using the given values

A: Given integrals with their values - ∫26x3dx = 320           ..............(1)∫26xdx = 16…

Q: Express the integral in terms of the variable u, but do not evaluate it. e13 In x dx; u = ln x e10…

A: Fill the blanks

Q: If f(1)dx is positive, then the Integral represents the area under the graph off on a, b. Select…

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Q: Which of the following definite integrals represents the area of the shaded region? A y = 4 –x² 2-…

A: On x axis, the graph ranges from 0 to 2. Considering the area made with the x axis, the area is…

Q: valuate the following integral using integration by parts x sin (1/7)x dx

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Q: x4

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Q: Find the following indefinte integrals (most general antiderivatives): a. Integral sign  (1-3/sq.…

A: To find the indefinite integral of the given function.

Q: write an equivalent doubde integral With the order of integration reversed. 44/7 dx ay

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Q: -c) S dx d) Sdx 4+x2 4+x2

A: To evaluate (c)∫dx4+x2(d)∫x4+x2dx

Q: 3 dx 2 (2 +

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Which value makes the following integral improper? Give a reason for your answer. dx Vin(x)

A: An improper integral is an integral that has either or both the limits  is infinite or an integrand…

Q: correct answer to evaluate the following integral dx Jo (1 - x*)2

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Q: Evaluate the following integrals.

A: We have to evaluate the integrals: ∫0π4sec x-cos x2 dx Applying the identity a-b2=a2-2ab+b2 in the…

Q: Q3/ Use Simpson's (1/3) Rule to evaluate the following integrals, Assume (h=1)? sicx³ + x² – 5) dx

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Q: The integral o So e a dxdy is equal to

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Q: Express the integral in terms of the variable u, but do not evaluate it. e14 In x dx3; u = In x e…

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

A: To determine:

Q: Find the following integral, given that f (x) dx = 8. -b+7 f (x – 7) dx =

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Q: Evaluate the integral using the following values. dx = 260, x dx = 10, dx = 2 9. –3x dx

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Q: Evaluate the following indefnite integral. You must show work. (e –3x +x)dx

A: We can find the answer as below