6x2 – 10x + 2 dx x3 – 3x2 + 2x -SA+B+C A + B + C dx Question: What is A, B, C? And also evaluate the one of the integral with denominator is x - 2

Q: a) Evaluate the indefinite integrals using Repeated Integration by parts i) Sx²e-2*dx ii) fx²Sinxdx…

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Q: Find the integral of x2X from x = 0 to x = 1. Give your answer to two decimals. Your Answer:

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Q: 3 I (4-x²) dx let 2 write the integral by using Beta function .a 1 3 8 B 2'2 .b 8 B 2'2 .C B 2 2 .d…

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Q: A. Evaluate the ff. integrals. Specify what technique you are using. 1) fx² In 2x dx 2) Sxtan-1x dx…

A: Note: As per the company's policy we are supposed to solve only 3 subparts of the question. So…

Q: Some integrals that can be evaluated by hand cannot be evaluated by all computer algebra systems.…

A: Topic integration

Q: y 4 (2, 4) y = 2x y = x2 2 Using a vertical element of area, the area of the shaded region is given…

A: Given graph is  To determine: Area of shaded region using vertical element of area.

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ x3 + x2/x2 + x - 2 dx

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Q: x³ + 6x² + x +2 fx-1 ax + In{(x + 1)*(x² – x + 1)| +- 2 Tan Ve The resulting integral of -1 + C,…

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Q: 4x3+3x2- 30x-33 da Consider the indefinite integral x2 - 9 Then the integrand decomposes into the…

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Q: Q3\ Evaluate only TWO integrals A-ſ tan5 (x)sec*(x)dx P ( sin(x)+esin (x)+sex³ (x) B-S sec (x)…

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Q: 5x (x² +a) dx is In +eTan-1X The resulting integral of + C, where a, b, d, and e are integers. What…

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Q: (6x³ + 3x? x² – 16 89x – 52 dx Consider the indefinite integral Then the integrand decomposes into…

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

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Q: A. First, rewrite the integral by multiplying out the integrand: | 3x° (x* + 1) dx = dx Then…

A: The given integral,         ∫3x3x4+1dx

Q: Evaluate the integral. (Use C for the constant of integration.) The integral of 5dx/(1+cos(x))

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Q: 38.) (a) Show all steps to evaluate the triple integral in whichever coordinates you choose: 1-x2 dz…

A: To Evaluate the triple integral                  ∫01 ∫-1-x21-x2 ∫09-x2-y2 dzdydx First we will…

Q: (2x² +)x dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the…

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Q: S For x1/2 dx and using the substitution = x1/2, the resulting integral takes the form: x-x3 -du S-…

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Q: dz Evaluate the integral 22 Iz-1=2 2i

A: Cauchy integral formula

Q: 1 ∫ 0 (1 is the top of the integral, 0 is the bottom) x - 1 / x^2 - 2x + 4 dx

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Q: 6.3.28. Evaluate the integral. using U substitution integrate (x^2)sqrt(x^2-1)dx

A: Use substitution method, to evaluate the integral

Q: r5x³ + 5x² + 3x – 3 dx Consider the indefinite integral 1 Then the integrand decomposes into the…

A: Given,

Q: 4 Evaluate the follwoing integrals. Show your work and state any appropriate methods you use. (a) 10…

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Q: 0 Use integration by part to evaluale the falowing integrali x Inx-x dx 2 Evaluate +4x+3

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Q: x2 Use the residues to evaluate the improper integral: -dx . (x² + 1)(x² + 4)

A: The given improper integral is written as:

Q: Find the area bounded by y y = 2x, y=0 and x = 3. X Using vertical element, what is the integral…

A: The given curves are; y=8x, y=2x, y=0 and x=3. Now find the point of intersection between the curve…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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Q: dx a) Evaluate the integral / z In(4x) using the substitution u = In(4x). dx x In(4x) +C b) Evaluate…

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Q: a) Evaluate the indefinite integrals using Repeated Integration by parts i) Sx²e-2*dx ii) fx²Sinxdx

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: x² + 2x + 1 dr- (x² + 1)² Falculate the integral

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Q: 2x-1 dx is an improper integral 2-5x+6 Select one: O True O False

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Q: Evaluate the double integral.   ⌠⌠5xy2 dA,    D is enclosed by x = 0 and x =4 − y2  ⌡ ⌡D

A: To evaluate the integral ∫∫D5xy2dA first we have to consider the figure of the region enclosed…

Q: (AK 1+4x dx = A According to x2 xp- 1+4x2 What is the value of the integral in type A? B) A -A

A: The objective is to find the integration in terms of A.

Q: (2x +)x dx | (28 + 4x5 + 4x²)? sing u-substitution and transformation of the integrand, then the p…

A: We will solve the integration using substitution.

Q: x² + 2 (х - 2)(х2 — dx 2x + 2) **

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Q: •3 4 - dx 2x ... Evaluate the given definite integral using appropriate substitution: A 8ln(5/3) B)…

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Q: 16iven f(x)= 4 - IX), write the integral or integrals representing bunded by the x-axis and the…

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Q: 1 c) (x² + e#)% ( Hint for part (c): Try to use Comparison Theorem for Improper Integrals) -d.x

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Q: 5. What is dummy variable? Explain the mean value theorem for integrals. Evaluate the following…

A: Concept: Integration: The calculation of an integral is referred to as integration. . Integrals are…

Q: xe - dx. (1-x)² (b) Evaluate the integral

A: (b) The objective is to evaluate the integral

Q: y = 4x (4. 4) y 2x-4 5 (1,-2) Using a horizontal element of area, the area of the shaded region is…

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Q: 5* dx 1 + 5x Evaluate the integral

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Q: (2+ln² x) 2. S: -dx x(1-In x)

A: As per rules supposed to solve only one problem at a time so please post the remaining question as a…

Q: (2x2+ 1) dx The integral J x+1)(x-2) -- +C Select one: O Inix+1|-Inix-2 O -In|x+1|+3 Inlx-2 O…

A: We have to find value of given integral.

Q: 3 ex dx = e - e to evaluate (5е^ - 1) dx. Use the properties of integrals and

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Q: x³ + 6x² + x+2 s ax + In[cx + 1}*(x² – x + 1)°| + fx-1 Tan-1. V3 The resulting integral of x³ +1 +…

A: use simple integration formula.

Q: a) Evaluate the indefinite integrals using Repeated Integration by parts Sx²e-2*dx ii) fx²Sinxdx 6…

A: =?

Q: evaluate the integral using the appropriate method or combination of methods covered thus far in the…

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Q: 1 dx 2 X x X+1) Evaluate the integral

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Q: dz (x2²–x³) 1/3dx Using the substitution *=-, dx= - the integral reduces to x3 (22– 1) 1/3 -dz A) -…

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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.