What is the value of the definite integral 4x – 3 -dæ? dx? 1² – I 2

Q: The integral dx may be written as me" +px+qe™+ C, where m, r ,sinx equal to zero. Evaluate m…

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Q: Answer the following integral related questions. -3 I = L,(3x² – 2x + 1) dx, evaluate I;

A: We know that ∫xndx=xn+1n+1+C, where C is the integration constant. We need to use this formula to…

Q: Complete the table by identifying u and du for the integral. "(x) u = g(x) du = g'(x) dx | (tan(x))7…

A: ∫fgxg'xdx u=gx du=g'xdx ∫tanx7secx2dx u= du=

Q: Which trigonometric substitution would you use in evaluating the following integral? & *יו< -e| (9 –…

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Q: use the indicated substitution to evaluate the integral.

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Q: Complete the table by identifying u and du for the integral. u = g(x) du = g'(x) dx x4 + 3 dx u = du…

A: Please refer the attached image for complete solution.

Q: Consider b sin() dx where a, b E R. Which of the following selections result in the integral…

A: I=∫ab sin2x5π dxI=1π-cos2x525abI=52π-cos2b5+cos2a5I=52π2 sin2b+2a5(2)sin2b-2a5(2)I=5π sin(b+a5)…

Q: 5. Evaluate triple integral Szr? sin e dz dr d0.

A: We know that,∫sinxdx=-cosx∫xndx=xn+1n+1The given integral…

Q: Evaluate the integral.

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Q: 2) Use the appropriate trigonometric substitution to transform the integral into an integral in the…

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

Q: What is the value of the definite integral r- 2 da? O 15 O 40 O 20 O 10

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Q: Can you help with this problem step by step?

A: Take out the 9 , because it is constant. Integration of sec^2 x is tanx

Q: Evaluate the following integral using trigonometric substitution. dx (1+256x?) dx (1+256x2) (Type an…

A: To find: The value of integral ∫dx1+256x232. Formula used: Trigonometric relation: 1+tan2t=sec2t.…

Q: 4. S cot?x csc x dx

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost other…

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A: To find out the integration.

Q: Complete the table by identifying u and du for the integral. u = g(x) du = g'(x) dx | (tan(x))5…

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Q: Choose the most appropriate answer The definite integral: (4x + 14)dx 14)de = %3D O48 O32 60 O 51

A: Now we will find the solution  we know  ,    Integration of Xn dx = Xn+1 / (X+1)  + C   Where C is…

Q: Q1/: Evaluate the Trigonometric integral m/4 V(1+ tan?x)3 dx -a/4

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Q: et d.x 10 + e Evaluate the integral using the substitution u = 10 + e". dx 10 + e +C

A: Given that a integration and we solve this integration by using general formulas of integration. We…

Q: The definite integral /. '(tan2(x) + sec2(x) ]dx when evaluated is equal to AV3 + Br, where A and B…

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Q: Choose the correct answer to the following integral: 1 dx x In? (x) where 0 < a <b are positive real…

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Q: rect answer to evaluate the following integral dx 1 I (1 – x4)Z

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Q: Find the value of the integral ∫∫R  and cos(x) cos(y) dA, where R=

A: We need to evaluate  ∫∫cos(x)cos(y)dA over region R=(x,y)| 0≤x≤π2,  0≤x≤π2

Q: u = g(x) du = g'(x) dx x8 + 5 dx u = du dx

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Q: To evaluate the integral dx, we substitute x = 2 sec 0. VAx-4 Select one: a. True b. None of these…

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Q: Evaluate the double integral : 4 3, 3x Si Si +14) dy dæ Answer:

A: Using integration formula we can solve this double integral

Q: By using a trigonometric substitution x = 3sece ,where 0 s0 < 27 "he integral 3 Vx² - 9 dx can be…

A: We have to choose the correct answer from the given option according to the given condition

Q: 11. The integral of nunex dx is bln]sec(In(2x)")|. What is b? A. 2 B. 2 C. 4 D.

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Q: Evaluate the following integral as it is written. 1 2x ху dy dx 0 x? 1 2x ху dy dx %3D (Simplify…

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Q: Evaluate the f 2 3 8xy dxdy=? e following integral by usin tes -8 dA = ?

A: We have to find the value of the given integration according to the given information

Q: За? dx is equivalent to Using substitution, the definite integral ... /x³ +1 c12 u żdu ... A •12 u…

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Q: Evaluate the integral. */6 6 sec?x dx R/6 S 6 sec?x dx =| (Type an exact answer.)

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Q: The best substitution to use for the integral sin z V1+ cos z dx

A: when we substitute, u = 1 + cosx then the value of du = - sinx dx

Q: Which of the following integrals is equal to the integral /f(3x – 5) dx? -2 7/3 / (:) dz -2 7/3 5.…

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Q: To evaluate x?V1– x²dx using trigonometric substitution, what is the new integral in terms of .a? 1…

A: Simplify the integrand using the formulas below .   sin2θ=2sinθcosθsin2θ=1+cos2θ2sin2θ+cos2θ=1

Q: Complete the table by identifying u and du for the integral. u = g(x) du = g'(x) dx | (tan(x))5…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Evaluate the given integral using Trigonometric Substitution 81e dæ 3(9e2r –6e² +10)

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Q: Consider the following integral and answer dz where C is the equation |z – 3i| = 2.

A: The integral  ∫C1zdzwhereC:  |z-3i|=2 To evaluate it by parametrization and by direct theorem.

Q: 2y (4 — у?)dy

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Q: Choose the most appropriate answer The definite integral: e 5z dx = %3D 10 5. O lie10 1 e hOlie 10

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Q: et dx using the substitution u = Evaluate the integral 17 + e*. 17+ ex

A: To evaluate the integral: ∫ex17+exdx. Solution: Le substitute u=17+ex. Differentiating both sides,…

Q: To evaluate the integral 1 dx, we substitute (x2 + + 2x)3/2 x = sec 0- 1. Select one: a. False b.…

A: It is true.

Q: Complete the table by identifying u and du for the integral. u = g(x) du = g'(x) dx | (tan(x))?…

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Q: what does the following integral equal? L 9(2)dz - [ = ['s g(z)dz = 23 and g(z)dz = 6.5

A: Given:             ∫-9-1gzdz=23              ∫-4-1gzdz=6.5              ∫-1-4gzdz=-∫-4-1gzdz

Q: Evaluate the integral. 17xe dx +C %3D ENOTE: Enter the exact answer.

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Q: What is the value of the integral f sin(6z) arctan(sin 3r)dr? a) 3(7 – 2) b) c) d) 6(* - 2) e) - 3

A: Let  I=∫0π6sin(6x)·tan-1sin3x dx =∫0π6(2sin3x·cos3x)tan-1sin3x dx   ∵sin2x=2sinx cosx Assume,…

Q: Q.35 The integral sin ede is given by

A: 35 Given integral is ∫0πsin3θdθ Since, sin3θ can be written as sin3θ=sin2θ⋅sin3θ Hence,…

Q: Evaluate the integral (Trigonometric Substitution) |(a?x* – x®)&dx 6. x³)Zdx

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.