Evaluate the following integrals Sa 4 |(x? + 4vz - - 6)dx x3

Q: Evaluate the following integrals Sxcos(3x) dx 2. COS

A: topic - definite integral

Q: Evaluate the following integral using the Trapezoidal and Simpson’s rules with n = 10 In (x² +…

A: The integral is ∫02lnx2+1ecos xdx where n=10. By using Trapezoidal rule,…

Q: w'ew dw -1

A: Using integration by part's & definite integral.

Q: 52? + 3х — 2 dx. x3 + 2x2

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Q: 5. S Evaluate the integral, if it exists. du √u - 2u² Ա

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Q: Evaluate the following integrals r0.5 S"x cosh(x² + 1) dx

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Q: Evaluate the following integral: dx So √1-x²

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Q: Q2 – Evaluate the following integrals- S cosh(2ln(x))dx V.

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Q: Evaluate the following integral using the Trapezoidal and Simpson's rules with n = 10 In (x² + 1)e**…

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Q: 3. Which of the following integrals cannot be evaluated using a simple substitution? 1 xp- x +1 ,4 1…

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Q: Evaluate the following integrals: 4x 6. ²x3x²y²dy dx -TT/3 7. p² sin 0 de dp Jπ/6 S3

A: The integration of the integral is  6) 3x2y2 7) (row) 2sin(theta).

Q: Evaluate the following integral x* In(x) dx O a. 6e5 25 O b. es 5. 4e5 25 es 25

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…

Q: Q2 – Evaluate the following integrals. iv. S(secx – tanx)²dx

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Q: Sx² tan x3 dx (In x)3 dx 4x 2x3 dx x++1

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Q: Evaluate the following integral.

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Q: I. Evaluate the following integrals. 1 1. d.x * ¤(9 – In? x)5/2 -

A: We can solve this using substitution method

Q: Calculate the following integral: e 3x3 + 1 dw 1

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Q: Evaluate the integral: S/2 Se S77/2 S¹² sin (=) dt du π/2

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Q: Q:4) Evaluate the following integrals' 1) fcos (4x)dx 2)

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Q: Evaluate the following integrals: a) s* dx x In x

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Evaluate the following integrals. In(r - 1) d.r. (a) (1- 1)3

A: Given, I=∫lnx-1x-13dx

Q: (c) / sa- (1² – y) dy 82y-3y

A: Solution:

Q: 1 dx 2. 0 (2x+1)Vx²+x

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Q: Evaluate the following integrals.

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Q: Evaluate the following integrals. 3xx + 1dx b. de. a. tan²

A: Consider the integral

Q: Evaluate the integral √(4 by making the appropriate substitution: u √ (432² dx [ X (4x² + 11) 7 = X…

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Q: Evaluate the following integrals: a) S: 2x+1 dx Vx+4 b) 4xe**dx

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Q: Evaluate the following integrals 2x2 + 1 dr J (x – 1)²(r + 2)

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Q: Q1/ Solve the following iterated integral: SL. ex-ydA, R: 0sxs In 2, 0sys In 2.

A: 1) We have to solve the iterated integral ∫∫nR ex-ydA where R= 0≤x≤ln2 ,0≤y≤ln2

Q: S, z? ( z³ – 1)* dz

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Q: Evaluate the following integral 2dr (3(ln r)2 + 12 In z – 15) 15)

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Q: Evaluate the following integral: 1 dx + C (36 – a²2 )3/2 - AY

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Q: 1 e 9- z

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Q: Evaluate the following integrals JJ (5. (5x³y²-y²) dA_R = {(x, y)| 0 ≤ x ≤ 2, 1 ≤ y ≤ 4} R 11.

A: Solve the following

Q: Evaluate the following integral a) º r16 1+ Vª dx

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Q: The result of the following double integral is LL* -3 у+1 4y dxdy= ? -4°0 O None of he others О 225…

A: The given integral,         ∫-40∫03y+14y dxdy

Q: Evaluate the Integral dx 7. S xVx+6x ANSWER: 1 7. ÷ In 3 + C x+6

A: Given: I=∫dxxx+6x   ...1   We know that; ∫1ax+bdx=1alnax+b+C

Q: Evaluate the following integrals ii. fx cot-'x dx .

A: Solution is given below:

Q: Evaluate the following integrals using power formula. 1) S3t dt 2) dy 3) S(5x* -8x³ +9x2 - 2x + 10)…

A: We have to evaluate the following integrals using the power formula. 1. ∫3t6dt2. ∫1y3dy3.…

Q: Ssei'x C tan'x t1) dx 3. X.

A: According to Bartleby guidelines I can only answer the first question of the given two. please…

Q: Evaluate the following integrals by parts 5) f x1 x ln x dx

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Q: Q1/ Solve the following iterated integral: SL. ex-ydA, R: 0<x< In 2, 0 <y< In 2.

A: Given integral I=∫∫R ex-ydA     ;  0≤x≤ln2   , 0≤y≤ln2

Q: Evaluate the following integral from a=-0.4 to b=7.6 with single application of Simpson's 1/3 rule b…

A: The solution is given as

Q: •Evaluate the following integrals : (ii) S(x + 3)² In(5x) dx

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Q: Evaluate the following integrals: 4x (a) 3xet dx (b) / z In(2)dz (c) / 2°e d.x

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

Q: Evaluate the following integrals.

A: The given integral is ∫13 tan-1xx12+x32 dx. Substitute t=x  and  dt=dx2x=dx2t in the above integral…

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: 6х — 9 4.) dx а2 — Зх + 2

A: