Evaluate the following integrals TC 2x a) -e + sin dx V3x 0. 3. cot(-2x) csc?(-2x) dx b) 7.

Q: Evaluate the integrals below: cos3x a) dx, b) 2y Velina - 1) etsin3a)

A: We have to evaluate the following integrals, (a)∫cos3xesin3x2-1dx(b)∫012yy2dx

Q: Evaluate the following integrals using Trigonometric Substitution: x-1- 16x dx x 2. dx 9 dx 25t2 - 1…

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Q: B) Integrate the following Integral: Je²x sin 2x sin x dx

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Q: 2, .cos' xdx 12. 2

A: Given: Let I=∫-π2π2 cos3x dx To Find: To evaluate the given trigonometric integral.

Q: Evaluate the following integral: Ca-ex ·e¯³) dx a. Analytically b. Trapezoidal rule c. Composite…

A: As per our guidelines we are allowed to answer only three subparts of a given question. Kindly…

Q: Evaluate the following integrals.

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Q: dx x Vx² +3 2

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Q: Determine the following integrals: I. In x dx II. | a? cos(2r) dx III. cos° x dx

A: As per our guidelines, I can answer maximum three subparts of a question. Since you have asked for…

Q: V. S, sin* () cos5 (-) dx

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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: (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: Evaluate the following integrals Jécos Cex)dx

A: The given integral is ∫excos2xdx. Calculate the integral by using by parts method. Here, we use…

Q: S sin x e cosxdx

A: The objective of the question is evaluate the given indefinite integral using substitution method.

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: a) Evaluate the following integrals by Parts 6) (lnx)² dx In x [√x 8) | Ir 8) In(x² + 4)dx 9) […

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

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: tan(x)dx, Ind: u = cos(z)

A: We have to calculate the given integral: ∫tan x dx We know the identity, tan x=sin xcos x Therefore,…

Q: To evaluate the integral /V4 + x² dx using a trigonometric substitution, use the (4+: substitution…

A: NOTE: Refresh your page if you can't see any equations. . .............(1) substitute…

Q: #2

A: To find out the integration.

Q: cosx dx Vsin? x-2sinx-3

A: SOLUTION-

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: Consider the following integral 3dx V(16 + 4x2)5 A suitable trigonometric substitution to reduce it…

A: using substitution x=2tanφ

Q: A. Evaluate the following integrals: 1. sin 'xcos x dx

A: Given: I=∫sin7xcosxdx   ....(1)   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

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: Which of the following is one of the correct/convenient steps to evaluate cot-4dx which will yield…

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Q: 2 sin? t sec“ t dt

A: To determine:

Q: Evaluate the following double integral sin (y) dydr

A: To evaluate the integral

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 following double integral (x², coS y – sin x)dxdy.

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Q: Evaluate the following integrals and check by differentiation: 1. J cos 4 x dx. 2. J 5 sec2 2x dx.…

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: Evaluate the following integrals. 1. sec-a dæ cos Va dx Væ csc /æ 2. x2 dx - 3.

A: Integration by parts

Q: ) 1 1 dx x – 1

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Q: Evaluate the integral J dx using trigonometric substitution. x²/16–a?

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Q: Evaluate the following Integrals: 1. J 6x2 sin x³ dx J sec 3x tan 3x cos (sec 3x) dx 3. S у csc3y?…

A: The objective of the question is evaluate the indefinite integrals.

Q: use the indicated substitution to evaluate the integral.

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Q: sin xcos x dx 2 X COS

A: ∫sin2xcos2xdx

Q: Evaluate the following integral [Y*arctan(1/2)de

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Q: Evaluate the integral. | Te" cos(2x) de = 7e* cos(2x) dx +C

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Q: To evaluate the integral Vx2 + 4x + 5 dx using a trigonometric substitution, use the substitution…

A: As we know that 1+tan2x=sec2x

Q: a) Evaluate the integrals using appropriate substitutions. dx Sine i) S ii) S de Cos? 0+1 1+16x?

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

Q: Evaluate the following integral xe -dx J 1+2ex?

A: The given integral is I=∫xex21+2ex2dx Solving the integral using substitution.

Q: Evaluate the given integral. *2x 2ye-X dy dx Jo

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Q: Evaluate the following improper integral or state that it diverges. 3 cos () dx

A: ∫2∞3cosπxx2dx=limk→∞∫2k3cosπxx2dx   Let, u=πxdu=-πx2dxdx=-x2πdu

Q: Evaluate the following integral. * R/2 sinx sin y dz dx dy 0 0 0

A: Given Integral is  ∫0π∫0π2∫0sinxsinydzdxdy

Q: Evaluate the following integral as written. 2 2 10 sin (2x - 5y)dx dy o y

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Q: Evaluate the following integrals: а- T/2 2cosx dx 1+ (sinx)² -T/2

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Q: Evaluate the following integral. 16 dx 1- vx 16 dx | (Type an exact answer.) 1-

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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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