dx When the integral JexV4 – e2x is evaluated by trigonometric substitution, the integrand is transformed into? (a) 금 cos? 0 (c)등 sin? e (b)를 sec? 8 (d) csc² 0

Q: Use the substitution u = x + Vx +5 to evaluate the definite integral dx I = Va2 +5 Give an exact…

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Q: The Lineo Differ ential Eguatios of Order n in ope-ator form Find F(D)= Dx~4Dx +3 when u = 3x² + 2…

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Q: (2- sec?x) elm cale sec³x sec( 3A – x) cIn (ale) Nhat should be the value of A for -dx to be…

A: We will use options to find the answer .

Q: use a geometry formula to find the exact value of the definite integral  2x dx on the inteval [a,b]

A: As a first step let's plot the graph y = 2x and the line x = a and x = b. The line is blue is the…

Q: 3. What are the integrals of tan x and cot x? sec x and csc x?

A: Part (a) - Let the integral be y - y = ∫tanx dx  y = ∫sinxcosxdx…

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

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Q: S tan-3 (x) sec² x dx

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Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 - y³)żdy

A: Given integral ∫b2y6-y812dy The objective is to evaluate the integral by trigonometric substitution.

Q: S(cos 3x + sin 7x)² dx

A: Here, when we solve this integration it becomes separate integration of trigonometric term and…

Q: Evaluate the integral. 9 dx V64 - Sx2 sin +C tan sin +C tan +C a eo

A: To evaluate the integral

Q: r430 sin x 160 cos2 x(16-sec² x)

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Q: Use trigonometric substitution to find or evaluate the integral

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Q: 't + Vt2 - 36 In dt J ले +C t2 -36 6

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Q: [? sinycos° ydy 2

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Q: √1² +25 -2 I dt

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Q: Using an appropriate substitution, the integral Jez-tan is equal to 2-tan sec²0 de O none of the…

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Q: [(2- sec?r) sec(3A – x) e In (a le) sec³x -dx to be integrable using the formula ? и"du What should…

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Q: Consider -(x Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

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Q: Evaluate the integral using the indicated trigonometric substitution. 2 dx, x= 3 sec(0) x² Vx? – 9

A: →Substitute, x= 3secθ

Q: SOLVE USING :TECHNIQUES OF INTEGRATION: TRANSFORMATION BY TRIGONOMETRIC IDENTITIES Jycos y ay ydy n=

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Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y³)źdy

A: SOLUTION-

Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y®)Zdy

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Q: dx sin (7x)[7-cot2(7x)]

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Q: 4x² – 25 7. = sec 0 dx

A: 7) a)Evaluate the integral using the indicated trigonometric substitution. b) Sketch and label the…

Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

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Q: dx 4. Evaluate the integral by trigonometric substitution: , Væ²-9

A: We can find the integral using trigonometric substitution as below

Q: 1. ò F 2 dt dt Ve' + 9

A: The integral function are 1. ∫etet+9dt   2.∫2t+4ttdt

Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² z…

A: We have to find out the substitution

Q: Evaluate the integral ² ² sin² 20 r dr de where D = {(r, 0)| 0 ≤ 0 ≤ñ, 0≤ r ≤ 2√cos 20}. X

A: Solution: ∫∫Dr2sin2(2θ)rdrdθθ→0 to πr→0 to 2cos 2θ

Q: dx ex√4-e²x the integrand is transformed into? (a) cos² 0 (c) sin² 0 (b) sec²0 (d) csc²0 When the…

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Q: Evaluate the integral in terms of inverse hyperbolic function x2 dx Vx² + 1

A: for a part see 2nd,3rd and 4th step. for b part

Q: S What is the integrable form of / sin-cos-sino do? 2 2 (A) 1-u? du B) sinu du -2 V u2-1 du O 2…

A: We have given integral  I=∫sinθ2cosθ2sinθdθ Using formula  sinθ=sinθ2cosθ2 I=12∫sinθsinθdθ As,…

Q: The coefficient of sin(2x) t F(x) =(cos() is Blank 1 (use fraction form not decimal no space) in the…

A: To determine the coefficient of sin2x in the antiderivative of Fx=cosx26.

Q: sec? e de. 1- tan e Evaluate the improper integral:

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Q: Find the area inside r = 2(cos 20- sin 2 0) and outside r 1 %3D

A: The area inside r2=2(cos2θ-sin2θ) and outside r=1 is:

Q: 9 Let the integral be solvable' using trigonometric substitution. What is the correct choice of u…

A: A detailed solution is given below.

Q: ∞ .COs mx by Use contour integration to evaluate the real integral √ (x² + 1) d² 0

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Q: Consider the following. dz 4z + 2 1 Find a substitution to rewrite the integrand as du. 4u du = dz

A: Given : ∫dz4z + 2

Q: dz du Evaluate the integral Jo 5 the concept J + c. 2zv9z2-4 using uvu?-a? arcsec a a

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Q: Use the substitution formula to evaluate the integra 2. 3 cos xsin x dx 1/3 OA. 8. O B. -0.126 %3D…

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Q: Evaluate the integral sec 0 tan e de. Answer:

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Q: Verify if zo = 0 is a removable singularity for sinh z (ii) sin z3 (i) z2 (ii) 2³e/=, Explanations…

A: A limit is a mathematical object perceived to represent the last object in a sequence of the same…

Q: 1 | (n²z6 – 28)Zdz

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Q: a²f, a2f ax ay2 ду? f(x, y) = In(x2 + y?) + tan-1() A- Show that = 0, where B- Evaluate the integral…

A: Dear students you have asked multiple questions. As per our policy your first question will be…

Q: The substitution 2=tan 2 transformed the integral dx Stadz, expression 5sin(x) – 12cos(x) + 13 into…

A: Consider the given integral ∫dx5sinx-12cosx+13 Take the substitution z=tanx2 to transform the given…

Q: dt | 65. Use the substitution u = tanh t to evaluate cosh? 1+ sinh?t"

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Q: sin 2x costx + cos?r -dx integrali hesaplayınız.

A: We can substitute  cos(x) = t  To solve this.  Same solution is shown below

Q: Complete the integration: Ssin (x)cos (x)dx = sin (2x) sin (2x) + C ? %3D 16 32 Determine the yalue…

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Q: What is the integrable form of sin e) de? sin (A du 2 cos(u)du (©) -2 © -2/sin(u) du D) | - u² du

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.