In Problems 33–35, evaluate the integral by reversing the order of integration.

Q: Chapter 4, Section 4.3, Question 024 Given the functionf (x) = x³ + 3x² – 45x + 8 over the interval…

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Q: d) f(x) = x* %3D

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Q: Prove that fVf · dr = 0.

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Q: 5. Which is the inverse of f(x) =2? %3D Or (2) = H 241 Of (x) = 1- Of (x) = 1 1-c f(x) = 1+a

A: To find f-1(x) We interchange x and y and solve for y as function of x

Q: Evaluate the integral (4x -7/13 – 5x13)dx. „7/13 (4x -7/13 - 5x13)dx help (formulas) -

A: We first distribute the integration

Q: 10. yA 30- 25- y=x - 4x 20- 154 10- 5- -10 -5 -5 10 X -10 y = 16 - x -15 -20 - Find the area bounded…

A: Suppose defined on the interval . If , then area bounded by these curves is .

Q: Find dyldx for the following xVx² + 1 In y = ln (x + 1)3

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Q: 3dx x(x+3) D. Evaluate :

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Q: 13. Integral √x dx

A: Here we have to find the integral.

Q: 土F ×= t+t AND FIMD

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Q: In (ax-1)dx

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Q: The number of deaths among members of the U.S. Navy in the first 3 months of the 1918 influenza…

A: (a) Numerical estimation of N with increase in t.

Q: 4x2+4 dx x3+x2+x+1

A: To evaluate the given integral

Q: /x²-1 dx

A: We use substitution and basic trigonometry properties to solve this. Integration may have different…

Q: 1 7) So dx V36- x2

A: Solution of the problem as follows

Q: 2-5x-x2 dx (x2-x-6)(x+2)

A: This question is based on indefinite integral.

Q: 1.

A: Given that:  m∠D=2m∠2

Q: dx (2x-1)3

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Q: - Si * dx dy

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Q: dx -10 x

A: We can solve the integration as below.

Q: 1-ス 17+4 キ文T AND FIMD

A: Given that:x=t+t-1 and y=t2+t-2

Q: 4). S§ dx (Improper Integral) Jo x-4

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Q: S t /1+3t - dt

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Q: Compute the area between g(x) = 3x - 4 and f(x)= x(x-1)(x-2)

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Q: 11. In(5x + 2) = In 4 + In (x + 3) %3D

A: Apply log properties for solve the value of x

Q: 6. 22x+x dx

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Q: If In a + In(z-7) = In(4x), then z = 11 %3D

A: Since you have posted more than one question we solved the first one for you. For the remaining…

Q: Suppose a person with x years of eduction before seeking regular employment can expect to receive an…

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Q: 2x-3 5. Let f(x) = find as Ax - 0 Ax 3x+4'

A: Given that: f(x)=2x-33x+4