1. Evaluate the following integrals, Debe Justify all steps. x + 4 dx x3 + 3x2 – 10

Q: Q1 - Evaluate the following integral: J (2x2-3x+2) dx (x-1)2 (x-2)

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Q: Evaluate the following integrals: 1.Jx S dx 1-х4 dx VX 2 2.5 3.5² dx X

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Q: Evaluate the following integrals. Show your complete solution. 1. S(15x* – 6x² + 2)dx 2. S(VE-)dt

A: The given integral,1. ∫(15x4-6x2+2)dx2. ∫t-1tdt

Q: Q1 - Evaluate the following integrals 2x+5 i. S- dx x²+3x-10

A: We will break it into two parts.

Q: Evaluate the following integrals 2x2 + 1 dz J (x – 1)²(r + 2)

A:

Q: I. Evaluate the following integrals. Зx3—2х2-4х-3 dx x² (x²+x+1) 2.

A: Given: I=∫3x3-2x2-4x-3x2x2+x+1dx   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: Evaluate the following integrals b- 4 2vx dx

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Q: Evaluate/Find the following integrals. 3 + 13 2. S 8x 4x + 8x -dx- 3 + x + 2

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Q: Q1. Evaluate the following Integrals 1 dx xVx

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Q: Evaluate the following integrals a) dx J (2x - 1)3 6x dx b) 2.

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Q: 23/ Choose the correct answer to evaluate the following integral dx 1 - Jo (1 – x+)ż

A: By using Bita gama function

Q: |Q1 - Evaluate the following integrals i. 2x+5 •dx x2+3x-10

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Q: Q2 – Evaluate the following integrals. iv. S(secx – tanx)²dx

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Q: 12.) / 5a2 – 14x + 6 dx 23 – 3r2

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Q: 5х — 2 dx x² +1 - 10.)

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Q: Evaluate the following integrals: dx 1. Vzax-x2

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2 - dx x2 +1 01

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Q: Calculate the following integrals: (6X-5)dx 3.1 I = S V3x²-5x+6

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Q: Evaluate the given integrals 1 (a)[ -dx 2 -

A: Given that: ∫1x29-x2dx

Q: Evaluate the following integrals. Show the solution. 1. S(2x -x5 + 7x-3x2- 11) dx 2. S(9y-2 + 6y…

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Q: 5. Evaluate the following improper integrals (if not shoW Wny). x² dx a- 00 4 1 dx -2 x+2 b-

A: To evaluate the improper integrals.

Q: Use the substitution technique to determine the following integrals:

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Q: Q3 - Evaluate the following integrals dx x+V4x2+1

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Q: Evaluate only two of the following integrals: -16 In y a) S 8x² sin(4x) dx dy 4/y b) Jg 4Vý

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Q: Q1 - Evaluate the following integrals ii. S dx Jo ix-1|

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Q: Evaluate the following integrals.

A: Given that: The integral is ∫exe2x + 2 ex + 17 dx .

Q: dx 5. S -9x+6x-2

A: According to the Bartleby guidelines only one question can be solved at one time, post the remaining…

Q: Use the substitution technique to determine the following integrals:

A: Let,

Q: 1 8.) / dx (x2 + 16)3/2

A: We have to evaluate the integral: I=∫1x2+1632dx In this case we do use substitution method, so let…

Q: 2. 21-/9 – 4ª dx

A: The by parts method is given as ∫uv=u∫v-∫u'(v) where u is the first function and v is the second…

Q: Evaluate the following integrals: a) S: 2x+1 dx Vx+4 b) 4xe**dx

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Q: 4. Evaluate the following integrals. 3 е. X- 2x +2 dx 4x 1

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

Q: Evaluate the following integrals (a) [2r³ - 2x³ + 3x - 2 dx (b) [ 3x² + √x √I dx (c) √ ¹ t² (√t -…

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Q: Evaluate the following integrals. 1 dx (e2r – 4)³/2

A: The integration of the integral is 1/(e2x-4)5/2.

Q: Evaluate the following integrals. Show your complete solution. 2 dy 1. S Зу-4 2. S dv v+3

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Q: y V3 x dx 8y-y2

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Q: Evaluate the following Integrals 1. f 5 dx 2 ledr

A: We have to find the integral

Q: evaluate the given integral.

A: The given integral ∫2x+1xx2+4dx can be evaluated as, ∫2x+1xx2+4dx=∫2x2+4dx+∫1xx2+4dx The integral…

Q: Evaluate the following integrals. SHOW C 1. e2*-1)² dx e2x

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Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

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Q: Evaluate the following integrals: 2r3 2) 2x2 + 1 - dx x² - x 1) | dx

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Q: 3. Evaluate the following integrals. (a) / х — 1 x2 + x (b) / 2х — 3 dx x³ + x

A: We have to find the integral

Q: B. Evaluate the following integrals. | 10V7 dx 1. 6x dx 2. |(3u° – (Зи — 2и%) du 3.

A: Since you have posted multiple question in this question so I have solved first three question as…

Q: 03: Evaluate the following integrals: dx (4) √√√²+4x+4

A: Solve the integration

Q: [5]. Calculate the exact values of the following definite integrals. Srsin(2.x) dr (a) o dx x² - 4…

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Q: 1 1 1 dx x+2, x+1

A: We can solve this as follows:

Q: Evaluate the given integrals. ex dx 7. e 2x+2ex+1

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Q: 6х — 9 4.) dx а2 — Зх + 2

A:

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.