1 The improper integral Jo 2+4x+13 dx is given by: Select one: None of these O a. O b. lim tan-((b+2)/3) de tan an-(2/3) tan-((b+2)/3) do C. - lim tan-(2/3) O d. - lim b-o J sec-(2/3) sec-(b+2/3) d0

Q: 3. (a) Evaluate the indefinite integral / 2/arctan(3r dr. 1+922

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Q: The suitable substitution to evaluate the integral tan (2x) dx is 4 C cos“(2x)

A: Explanation: Given that, ∫tan52xcos42xdx

Q: Step by step

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Q: 18 Estimate the error if cos t is approximated by 1- 2 in the integral cos t? dt. 4! - -+ The error…

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Q: Find the reduction formula for the integral co cos" x dr, for n> 2.

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Q: Which of the following is NOT EQUAL to the given integral. tanx 4+x2+x4 tanx tanx dr 4+x2+x+ dx+ -2…

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Q: To evaluate the integral /VF² we use Select one: x² +9dx Substitution with x = 2 tan 0, where -T 7…

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Q: Evaluate the integral:: 1. § 4+0²³²- dz e² · cos³x + 8 sin x cos²x + 6 sin²x dx ; cos x ‡ 0 2.5.…

A: We have to find value of given Integral.

Q: For cach pair of definite integrals in Excrcises 13-18, decide which, if either, is larger, without…

A: 13. both are equal since the area covered by cos is same in both the region. 14. Question not…

Q: Evaluate the integral sin^4 e de from 0 to π/2 * 2π/3 TT/4 31/16 31/5 O h

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Q: Evaluate the following integrals: 1 1) [(x² – 1)-(4 – x² )dx Ix' - 4x+c) (ans. : 2) Je* . sin e* dx…

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Q: Evaluate the following integral: [²√²+² (cos(x² + y² S - y²)) dydx

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Q: Evaluate the indefinite integral. Sa V1 - a? dæ cos° 0 – cos 0 +C 3 - 5/2 (1-22)이2-3 (1- 22)이2 +C. |…

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Q: Can i get help step by step?

A: We will use the Pythagorean identity tan2x=sec2x-1

Q: Use the integral test to Σ cos 1/n n2 1 ך

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Q: Find the expansion of sin(xy) in powers of (x – 1) and (y – 7/2) up to and including third degree…

A: Given function is   fx,y=sin(xy)

Q: Evaluate the integral tan 4x S- Vtan? 4x – 24 In/tan 4x + /tan² 4x – 24| +C O 1 sec 4x +C Arcsec 5 O…

A: 14lntan4x+tan24x-24+C' =14lntan4x+tan24x-24' +C' =sec24xtan24x-24+0=sec24xtan24x-24 So, the…

Q: 2. Evaluate the integral of 5 sin4x cosx dx if upper limit TO and lower limit = 0. а. 4т/315 b.…

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Q: 8. Evaluate the integral: S 2r cos r dr

A: Given, ∫2r cos r dr We know that, ∫a fxdx=a∫ fxdx⇒2∫r cosr dr Now by using the Integration By Parts,…

Q: Evaluate the integral 7sin^2(x)cos^2(x)dx, from 0 to pi/2

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Q: Evaluate the integral. 7 7 √49-x² ILL 1 /49-x² (x² + y²)1/2 dy dx dz =

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Q: Suppose that the trigonometric substitutionx = 3 tan 0 is used to compute an integral and the answer…

A: Simply use  resubstitution and replace θ in terms of x from initial trigonometric substitution.

Q: Evaluate the following integral. |5 cos (5x)dx 5 cos (5) dx |(Use C as the arbitrary constant)

A: The integral is given by

Q: Evaluate the integral. 7/2 sin 8t sin 7t dt 16 O 31 O T5 3

A: the given integral is ∫0π2sin8t sin7t dt use the formula Sin C sin D= -cosC+D+cosC-D2 here C=8t and…

Q: Which of the following is one of the correct steps to evaluate cos'x dx to obtain the desired…

A: Solving

Q: 2.Expand the following in powers of x i)√(1 + sinx) ii)e cosx iii) cos x²+

A: Given data:- (i); 1+sinx (ii); excosx (iii); cos-1x2-1x2+1

Q: Sy² sin(3y³ + 4) dy

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Q: The integral of sin2 3xdx is x 1 -x +A + C, What is the value of A if x =-. 4 O -1/12 O 1/12 O 1/18…

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Q: 28. Evaluate f 5 sin 3x dx 2+cos 3x a. 2 In 15 sin 3x| + C b.- In 12+cos 3x|+C c. In 15 sin 3x| + C…

A: Evaluate integral

Q: 1 The improper integral -dx is given by: x² +8x+41 Select one: O a. None of these sec-'((b+4)/5) de…

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Q: Evaluate the integral. 28) sin dt A) -cos B) cos C) 5 cos + 6 D) COS 1/5 +

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: (4) Evaluate the iterated integral ". Scos" 3r² sin 0 dr d0.

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Q: Evaluate the following integral using the Fu 9x/2 | (cos x- 4) dx -9x/2 9x/2 | (cos x- 4) dx = -9x/2…

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Q: Evaluate the integral of x cos 2x dx with limits form 0 to pi/2. (A) -3/4 B 0.75 C -0.5 D 1/2

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Q: +o0 In(tan -1 x) dx 1+x2 1

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Q: -Jxcar (r<)= o x sin(ñ x) cos (Tx)

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Q: The integral S x dx x²+√√x²-1-1 can be transformed to which of the following using trigonometric…

A: Please follow the next step.

Q: sec22ydy cotzy(3+tan?2y) : 1n(3 + tan?2y) + C D. - In(3 + tan²2y) + C Evaluate the integral: J 1 С.…

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Q: • 8 If In = 7/2 e*cos" x dx, where n 2 2, prove that: %3D (a) In = 1-n[" /2 e-* sin x. cos"-1 x dx…

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Q: 11. The integral of tan(In|4x²|) dx is bln|sec(ln(2x)ª)|. What is b? А. 2 В. 1 D. ! С.4 4

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Q: 3. Evaluate the integral / sin (mz) cos (nx) dr; when m and n denote the (i) Same non-negative…

A: To evaluate the integral ∫02πsin(mx) cos(nx) dx; when m and n are non-negative integers. (i) When m…

Q: 1 ( cosx + 2 x| ) dx 7) Evaluate the following integral : | COS

A: Consider the provided integral, ∫0π 12cosx+cosxdx Evaluate the following integral. Apply  the…

Q: 3.) a.) Evaluate the following integral. In(1 + 4x²) dx b.) Evaluate the following integral. tan x…

A: (a) We will evaluate the integral by parts. Now, we use the result  Therefore, we have

Q: Evaluate the integral 3. 2х cos(xy)dydx 2

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Q: Evaluate the integral: ( ) sect tan ti +tcos 2t j+sin² 2t cos 2tk 1k)dt

A: the given integral is: ∫0π4sect tant i^ +t cos2t j^ +sin22t cos2t k^ dt we have to evaluate the…

Q: Evaluate the following integral. 5 1+ cos (4x) dx 4

A: Answer