Evaluate the integral below. cos(y) dy dx /x/3 Select one: O a. sin 1 O b. O O c. 1 O d. sin 2 – 1 O e. cos 2 +1

Q: 2.0 Hence, evaluste Se? cosz de to 3 decimal places. CoS I

A: According to question given that ∫01ex cosx dx

Q: A. Evaluate the following integrals: 3 | tan°x dx 1.

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Q: Approximate the following integral using the Simpson's 1/3 rule. SO, (cos a) da 0.25 2 -0.25

A: Given,∫-0.250.25cos x2 dxfx=cos x2a=-0.25 , b=0.25 , n=4h=b-anh=0.25--0.254h=0.125

Q: Compute the following integrals. 1 (i) Ss(0.2) sin*(e) cos(2) dz.

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Q: Evaluate the following integrals? .3 1)S x² e3* dx 2) S dx x²+25 dx 3) 6x – x2 4) | cos(In x) dx

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1 Consider the definite integral dx: o (26 – 7)6 This can be transformed into a basic integral by…

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Q: 1. cos50 sin³0 de TL 2

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Q: n/2 L, Sy sin x)dx dy

A: Consider the provided integral, ∫-12∫0π2ysinxdxdy Evaluate the iterated integral.…

Q: Find the integral of ([sin(x)]^6)([cos(x)]^7)dx from x=0 to x = pi/2. a. 14/1001 b. 15/2002 16/3003…

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Q: 4. Determine the following integrals 4.3 (a? + x*)cos(2x) dx

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Q: (d) Ꮭ /2 sin 6 er cos 0 r²dzdrdo

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

Q: Consider the following integrals 00 4 sin? x i. dx x² + 6 e9t dt ii. e9t – 1 Mark the correct one…

A: Given: i.∫1∞4 sin2xx2+6dx ii.∫01e9t dte9t-1

Q: Evaluate the following Integrals 1 I. dx 1-cos x

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Approximate the following integrals using the Trapezoidal rule. c0.25 (cos x)? dx b. x In(x+ 1) dx…

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Q: 2 X COS x dx ах

A: To integrate: ∫0π2x cos (x) dx

Q: 1 Consider the definite integral dx: o (26 – 7)® This can be transformed into a basic integral by…

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Q: 2. Evaluate the following integrals. (a) S sin°(=) dz

A: Using Substitution u = cos(x) , to solve integration

Q: Which of the following integrals are improper? (Select all that apply.) dx 5х — 1 dx 2х — 1 sin(x)…

A: An improper integral is a definite integral in which the limits approach a constant, or,…

Q: dx under Which of the following is the statement of the integral 1-Sinx-Cosx a suitable substitu…

A: the given integral is: ∫dx1-sinx-cosx we have to tell which statement is of the given integral under…

Q: Evaluate the following integrals S, 5v – 3) (e-y*2 sinhy) dy а. b. 8(x + 1) In(sinx2*) cosx dx

A: We have to define the given Delta function and find the points in which it is non zero in the given…

Q: I. Evaluate the following integrals. · cos³@de 4. S 1-sin® 5. S tan ( – x) dx

A: To Determine :-  The integral  4. ∫cos3 θ dθ1 - sin θ 5. ∫ tan  x4 - x  dx

Q: Evaluate the following integrals. (a) / (csc0)(1+ sin² 0 + sin 0 cot² 0) d0 (b) /: (e) / dr VI-2r2 +…

A: Part(a) We need to evaluate ∫csc θ1+sin2θ+sinθ cot2θdθ Consider: ∫csc θ1+sin2θ+sinθ cot2θdθ=∫csc…

Q: a) Evaluate the following integrals 1) xe3*dx 2) | x2 sin x dx 3) | x sin 2x dx

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Q: a. b. Evaluate the following integrals 2 dx cos²x√4 tan x- tan² x I [ sin(√a)da dx

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Q: Which of the following integrals are improper? (Select all that apply.) 1 dx 6x dx 2x - 1 sin(x) dx…

A: We have to find out the improper integral from the given options

Q: Evaluate the given integrals. 5. J(1 – cos 0) csc²0 d0

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Q: Evaluate the following integral.

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Q: 6. Evaluate the following integrals (a) x cos? xdx

A: Given: ∫xcos2xdx

Q: Which of the following is not an improper integral? 1 dx cos x 1 dx cos x 2 cos x dr cos x dx

A: Explanation of the answer is as follows

Q: The integral of the function cos² x. sin a dx is

A: the given expression is: ∫cos2x.sinxdx

Q: 03) Evaluate the following integrals: A) y = sec(tan-1x). tan³(tan-1x) 1+x2 dx

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Q: Evaluate the following integrals: 1. S (cos x – sin x) dx 2. ſ cot²x dx 3. S (sin x + x) dx

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: a) Evaluate the following integrals ce3xdx 2) | x² sin x dx 2) x2 sin x dx x

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Q: Evaluate the iterated integral. * T/6 cos(e) 7r5 sin(8) dr d0

A: Explanation of the answer is as follows

Q: Evaluate the following integrals. e4 (In x) (а) dx e (b) сп/2 cos(x) V1 + 3 sin(x) dx (c) a/6 (…

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Q: Which of the following is not an improper integral? cos x dx cos x dx 1 dx cos x 1 dx cos x 8.

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Q: 6. Evaluate the following integrals: (a) /sir sin³ x dx

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Q: II. Evaluate the following integrals. 2. (sin³x)√1 + cos x dx KIN k 플

A: Here is the solution:

Q: Evaluate the integral of sin 6 (x) dx from 0 to Tt/2. * 5п/32 2n/17 T/32 3Tt/32

A: Given: The objective is to integrate the function sin6(x)dx from 0 to π2.

Q: Which of the following is one of the correctIconvenient steps to evaluate| cot-4dx_which will yield…

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Q: Secos(sin-tw)dv dv S- e2cos(sin¬{w) – 4 dv S- 4+ ecos(sin-w)

A: To find the values of dv such that the antiderivatives(integrals) exists.

Q: Evaluate the double integral below. -27 S sr sin@drde 0. 0. O 5T О бл

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Q: To evaluate the integral | x sin(x2) dx we use the substitution O a. x= t O b. sinx =t O c. sin x2…

A: Explanation of the solution is given below....

Q: e" cos(e“)dx

A: Let I=∫0∞excosexdx  Put   ex=t⇒exdx=dt When x=0, t=e0=1 When x=∞, t=e∞=∞ So, by substitution, the…

Q: A. Evaluate the following integrals: | sin 'xcos xdx 1.

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Q: [9 cos (12 – 6t +1) dt 4

A: Solved below

Q: Evaluate the following integrals. Tt/42 cos x dx e* 2 cos а. S dx V1-9x²

A: We have ∫0π42 Cosx dx Now, ∫0π42 Cosx dx becomes  ⇒2Sinxπ40                         as ∫Cosx…

Q: Which of the following integrals are improper? O " tan xdx dx -dx L2+1 .2 dx -2 x+1 Se*dx None of…

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Q: Q1/ Evaluate the following integrals: (a) S sin³ cos dx . (b) Ja dx . (e) S r² (- 1) dr .

A: We have to find the value of the integrals given.  Note- since you have posted multiple independent…