45. dx VI- 16x2

Q: Evaluate the integral. | a sec"(3z) dr =| + C

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Q: Evaluate the integral. x* In(x) dx =| NOTE: Enter the exact answer.

A: We evaluate the given integral

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx VTe(26/a)

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Q: Use integration by parts to evaluate the following integral. -2 Joe° de - 00

A: To Evaluate: ∫-∞-2θeθdθ Concept: Let fx be a continuous function over the interval…

Q: (10-5x) dx a. -5 b.S 3+ x4

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Q: 5+x*dx

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Q: 1 Inr dr. + evaluate the improper integral

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Q: Q2: Evaluate the integral ° In xdx using by parts formula

A: We use integral by part

Q: Evaluate the integral. 16 8 cosh (x) dx 4 16 8 cosh (/x) dx =| 4. (Type an exact answer)

A: Given

Q: Evaluate the integral using the formula x dx = E. (Give your answer as a whole or exact number.) /…

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Q: r dr Evaluate the improper integral by using a suitable substitution. 4 + 49

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Q: Estimate the integral below by using Simpson's rule and Trapezoidal method with n=4, also find ET…

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Q: 2. Evaluate the integral by interpreting it in terms of areas. . V25 – x2 dx. .

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Q: c/4- 4 – x dx

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Q: х? +2 dx x +1

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Q: Evaluate the integral by interpreting it in terms of areas: (2) [+ |x|dx (1) L₂ (3+√4-2²) dx

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Q: Evaluate the integral (1² – 4z) dz using its definition.

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Q: 5. Evaluate the integral by using trigonometric substitution. x2 dx J Tx2 - 25 Vx² –

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. ty8t2 + 7 dt…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V12y +1 +C

A: we need to evaluate the integral :

Q: 1 4n + 3 n=1

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Q: evaluate the integral using the methods covered in the text so far.

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Q: Estimate the integral below by using Simpson's rule and Trapezoidal method with n=4, also find ET…

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Q: Stan(3x)dx 6.

A: We can find the integration using by parts as below

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V8y + 1 +C

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Q: 1. fese -Se- Side 2 f-ar +9' + de-de

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Q: 10. Use the Trapezoidal Rule to approximate the given integral with the specified value of n. Write…

A: Find the width of the interval ∆x = b-a/n = (2-0)/4=0.5 X f(x)=ex^2 0.00 1.00 0.50 1.284025…

Q: Evaluate the integral using the methods covered in the text so far:                    ∫ (7 − e10x)…

A: Here we have to evaluate I=∫(7-e10x)dx

Q: b) [12x – 1|dx 2.x

A: The given integral ∫012x-1dx

Q: Evaluate the integrals

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

Q: Evaluate by  ∫-2 2  (x +3 )  √ (4- x2)   dx    writing it as a sum oftwo integrals and interpreting…

A: Given: I=∫-22x+34-x2dx we know that ∫abfxdx=∫abfa+b-xdx…

Q: evaluate the integral using the methods covered in the text so far.

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 dx = +C (1…

A: Given:         ∫41-2x6dx     =4∫11-2x6dx substitute u=1-2x→dudx=-2             dx=-12du…

Q: Use the Table of Integrals to evaluate the integral. 6 1 dx X 4x 7 Select the correct answer. The…

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Q: Evaluate the following improper integral or state that it is divergent. * 2 3 dz 6 -1 $4 – 2z

A: ∫-1234-2z6 dz Note:     Multiple questions are given, we are answer with only one question. If you…

Q: Using the substitution = the integral reduces to -1) 1 2p- dz 1/3

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ dt/t4 + 4t2 + 3

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Q: x4

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Q: Evaluate the integral using an appropriate method. J = 3 22+5+6 dx

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ (3y - 7) dy/(y - 1)(y -…

A: Consider,

Q: Evaluate the integral using property of So √x e² dx' the F

A: Given:  To evaluate ∫x1/2*e-2xdx using property of pdf ?

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. lr – 10)° dx…

A: This is a simple question based on the topic integral by substitution which could be solved using…

Q: 1. Evaluate (2 – x) dx by drawing a picture and interpreting the integral in terms of areas.

A:

Q: a) Evaluate the integrals using a dx i) S16x2 1+16x?

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Evaluate the followaing integrals Li (1– 2sin?(x).sin(4x) dx) |

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Q: 4 -dx xln?x 00

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Q: 8. Evaluate the integral by using a substitution prior to integration by parts. xp- Vx² + 18 - 9 m…

A: Given query is to find the value of the integral.

Q: Compute the integral by algebraic substitution: ∫7/2+√x-4 dx

A: We need to compute the integral ∫72+x-4 dx Now, using the property ∫a fx+bgx dx=a∫ fx dx+b∫gx dx…

Q: Evaluate the integrals ∫2 cot πx dx

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ y + 3/2y3 - 8y dy

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