d.x -x2-4x

Q: Evaluate the integrals

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x³ (3x4 + 2)³…

A: We need to integrate ∫x33x4+23dxSubstitute 3x4+2=tDifferentiate w.r.t t12x3dx=dtNow∫112t3dt ---{1}

Q: 4. Sx 2* dx

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Q: 1.S(2 + Vx)³ Vxdx

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Q: f1+z+² /1+z+z? + 3z*dz

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Find the formula for the function represented by the integral. (Use symbolic notation and fractions…

A: Please refer the attached image for complete solution.THANK YOU.

Q: Given ∫(2x5+x3+6x−2)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: .2 x² + 6x dx (х2 + 3)?

A: Recall: ∫1x2+a2dx =1atan-1xa+C ∫ax+bndx =1a.ax+bn+1n+1+C

Q: Find the integral of the following. Give the value of the variables. xーズー dx (x-1)(-x)

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Q: evaluate the integral. Use C for the arbitrary constant. Absorb into C as much as possible…

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Q: Evaluate the integral |x'(x* – 7)6 dx, by making the substitution u = x* – 7. +C Note: Your answer…

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Q: dx h) S x2+4x+8

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Q: Hi, I was wondering how to do this and what the work would look like. thank you!

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Q: -3x+1) -3х 2-3* dx

A: According to our company policy we are supposed to answer only first question and rest can be…

Q: Given |(-6x° – 4x + 5x – 3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Find formulas for the functions represented by the integrals.

A: To find∫3x9x+2e-udu

Q: Evaluate the integral : 5x-x? dx (x-1)(x+1)² +C

A: We have to solve the integration

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use substitutions to integration

Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

A: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

Q: Evaluate the integral. 5 22 e dx = +C

A: Note the following results in integration and differentiation :  ∫ab=a∫b-∫a'∫b    ..................…

Q: Decide on what substitution to use, and then evaluate the given integral using integration.) x² dx…

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Q: dx - Evaluate the integral : o using residues and any other method which can be applied to solve…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Which of the following integrals is equal to the integral f(3x-5) dr? (A B) 3 7/3 © I s(:) dz 7/3

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Q: Evaluate the integral: fe* sinhxdx. Select one: O a. -+C 0b. ²+0 ++ C d+C

A: We can solve this as follows:

Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: We have to evaluate the integral by completing square.…

Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer.

A: ∫ 3x-13+3dx=∫ 3x-13dx+∫ 3dx=92x23+3xAdd a constant to the solution=92x23+3x+C

Q: A. Evaluate the integral of the follo x+4 1. dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral. 17 x2 e" dx + C NOTE: Enter the exact answer.

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Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

A: To find length of curves y=e-2x on interval 30,24. Length of the curves will be:…

Q: Use the specified substitution to find or evaluate the integral. (Use C for the constant of…

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Q: Consider the indefinite integral a · Vx² – 5 dæ: This can be transformed into a basic integral by…

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Q: (a) Evaluate the following integrals: x² + x – 7 dx x² – x – 6 (i)

A: Given :   ∫x2+x-7x2-x-6dx

Q: Evaluate the integralS, V1 – x² dx. Note: Retain T and any fractions in your answer if applicable.

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Q: Determine the following integrals or state that they diverge. 2.) xln(x)dx 0.

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Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

A: Consider the provided Curve and the interval, y=x3+2 ; -2,5 We can write as, fx=x3+2 ; -2,5 Write…

Q: Evaluate the integral 25 6)"dx - by making the substitution u = x -6. + C NOTE: Your answer should…

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Q: Use the technique of completing the square to evaluate the following integrals. x- 6x Show your…

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Q: Q/ Evaluate the integrals :- 1 + Z

A: This question is based on indefinite integral.

Q: Evaluate the definite integrals. (a) ſ°, 2r(x² – 3)³ dx

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Q: a) Find the definite integrals of the following functions (i) Sx(x² +9)10 dx (ii) xp xu)x (iii) S…

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Q: Evaluate the integral if it exists. dx Select the correct answer. 1 1) x- 2 lnx-+ C 2) 2- Inx+ C 3)…

A: We use identity  (a-b)2= a2+b2-2ab in numerator of integral

Q: Evaluate the definite integral. dx JT none of the choices

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Q: Evaluate the integral. 5 x2 e dx +C

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Q: 3x Se 3x-e dx

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Q: r2 c-x+3 3 J(x-1)² 4x° dydx

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Evaluate the integral by completing the square and using the following formula. (Remember to use…

A: Evaluate the integral: I=∫9 dxx2-2x

Q: Evaluate the integral, if possible. (Hint: use the table of integrals and substitution)

A: Use the properties of indefinite integral to simplify.Let w = x^4.Calculate dw and simplify using…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.