Q-3-Edaluate the fallowing Integration 1- X3 x21 2. 2- X+1

Q: 9. f √x³-1dx x

A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

Q: Evaluate using integration by parts or other techniques of integration. 2 9x √x² e ³x dx fx² e ³x dx…

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Q: Evaluate the integral. (Use C for the constant of integration. x² 3/2 dx - 4x²)2 3 + 4x

A: We have∫x23+4x−4x232dx

Q: Choose True if the statement is correct, otherwise False. If an integration process produces a…

A: If an integration process produces a constant number, it cannot be added with the constant of…

Q: Eualuate Integral S3x+2 VT-25x?

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Q: 19) Derive a one point integration formula to estimate the integral f (x) dx.

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Q: When is the integration method used?

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Q: 8 – x2 dx I. x(x2 + 5x + 8) 1

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Q: Evaluate the double integration: e²x e dxdy

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

A: Given that,The path of a basketball is given byy=2.12+2.01x-0.38x2, 0≤x≤4.6wherex is the horizontal…

Q: How do you perform integration by parts?

A: Integration by parts is,

Q: Evaluate the integral 6. dx x2 V16x2 – 9 | Note: Use an upper-case "C" for the constant of…

A: Solve the given integral

Q: Integration provides a means

A: Given, Where, and are initial and final times respectively. which is a constant.

Q: In(2 x) dx =; x³ In( 2 x) - +C x e dx = -2 (2 +x) e +C

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Q: 8z + 129z -) dr = (Use Term by term integration)

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Q: x*+2х+3

A: We can find the integration as below.

Q: When I am solving an integration question, how should I know which expression to equate to 'u' in…

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Q: х—1 dx х4—1

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Q: 2 x+ 2x dx x°+3x2 – 1

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Q: х—1 ]dx x4 -1

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Q: S(x + e*)²dx

A: Solution of question is written in below steps. Note: (a + b)2 = a2 + b2 + 2ab

Q: V2 dx 7. x²V4 – x² 1

A: We have to find the value of the given definite integral

Q: ) Find the integration: V1-X

A: Given integration, ∫032dx1-x2

Q: t. In today's electronic age why should you learn techniques of integration?

A: In today's electronic age why should you learn techniques of integration?

Q: Let u=sinx and the integrand will lead to integration by partial fraction

A: use substitution method for solving the  integral

Q: Let u = x3 + 1. Indicate how the limits of integration should be adjusted in order to perform the…

A: Given

Q: When do we use the method of substitution in integration? and is the "u-susbtitution" similar to the…

A: The Method of Substitution:The method of substitution is used in integral when it contains…

Q: dx 21 VI(Vx + 1)'

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Q: 2. se integration by pacts to eval integralig x² In (3x)dx niz

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Q: With the use of examples, differentiate between horizontal integration and vertical integration.

A: Here , we have to differentiate between horizontal integration and vertical integration

Q: 11.f (4x+5) dx √1-2x

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Q: 2x – 5 dx x(x – 1)3

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Q: 5. x?e-3x dx

A: ∫x2e-3xdx

Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

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Q: What values of a and b maximize the value of (x – x²) dx? |(Hint: Where is the integrand positive?)

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Q: Calculate the integral. (Use C for the constant of integration.)   dx x   4x4 − 1

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Q: Find the integration by using Partial fraction method x² + 2x + 1 (x² + 1)² dx

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Q: dx I (x – 6)(x +2)²

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Q: What do you call the required function in the process of integration?

A: We have to answer  the name of the required function in the process of integration.

Q: 8 dx I (x – 2)(x +6)

A:

Q: A golfer makes a successful chip shot to the green. Suppose that the path of the ball from the…

A: Please refer to the image below

Q: Se²(x² + 2x dx by using the integration by parts. Q4 Evaluate ,2x

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Q: J1/4 Jx2

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Q: sketch the described regions of integration. -1 ≤ x ≤2, x - 1≤ y ≤ x2

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Q: 7. f sec5 2 t dt

A: We can solve the integration as below

Q: 32. ³+x²+x+2 + 1)(x² + 2) dx

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Q: х—1 dx x4-1

A: Solution of question is written in below steps.

Q: Q9] What is the residue? Its role in integration? Explain methods to obtain it.

A: We use residue formula, to solve any integration.

Q: When should I use partial integration and when should I use substitution?

A: When should I use partial integration and when should I use substitution.

Q: Can you give me one real life problem about integration?

A: Real life problem about integration Integration: integration is a method where we add the slices to…