х cos 4x dx; и 3D х, dv cos 4x dx =

Q: ,3 Evaluate the iterated integral dx dy

A: We have to evaluate the iterated integral ∫12∫yy3dx dy.

Q: Evaluate only four integrals of the following integrals: 1/4 1 dx (i) dx (ii) J √1-9x² sin (3x) 0…

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Q: 1 1-xl-x²-y? Evaluate the integral S S [dz dx dy 0 0 0

A: We will evaluate the given integral in this question.

Q: 3. Evaluate the integral Sx cosx dx.

A: Please see the below picture for detailed solution.

Q: 4. .2 + 2x) cos(2x) dx

A:

Q: Q2:A/ Evaluate the integrals 1 sec²(eVx + 1) dx J Vxe-V

A: Given: ∫1xe-xsec2ex+1dx Consider, u=ex+1, du=ddxex+1=ex+1ddxx+1=ex+12xdx

Q: Evaluate the iterated integrals: 4 2 S[x* +xy}dydx 0 1

A:

Q: integral of (cos(4pi t) i + sin(5pi t) j + t^2 k) dt

A: Given∫(cos(4πt)i^+sin(5πt)j^+t2k^)dt

Q: 3 2 Evaluate the iterated integral x cos y dy dx. 2 3л 2

A: Ans= 5/2=2.5 For detail go through the solution...I have solved step by step in detail

Q: Determine the following integrals: 1.1 G 3x³ +8 X dx 1.2 G 1.3 4x+6 dx x + 3x-10 sec² (sin 5x)cos 5x…

A: We have to find out solution

Q: Evaluate the iterated integral. 9. (8x – 2y) dy dx 1

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Q: 7) Evaluate the integrals a) 3(x + 1)²dx b) secx (tanx +cosx )dx

A: An indefinite integral, also known as antiderivative, is a function F(x)=∫f(x)dx such that…

Q: 2. Evaluate the integrals. (a) S (b) [9rc (c) J (d) O 1+ e²r 9x cot(x²)dx -do -dx cos sin² 0 +1 -dx…

A: As per the guidelines we can solve 3 parts only

Q: 10 | (2)dr = f(x)d.r + / f(z)dz f(x)dz, 2 what are the bounds of integration for the first integral?

A: Given,           ∫abfxdx=∫-28fxdx+∫810fxdx-∫-25fxdx

Q: Evaluate the integrals ∫cos (1 - ln y)/y dy

A: We have to find the integrals: ∫cos1-lnyydy We will find this integrals by substitution method Let…

Q: 1. Prove that L{cos(at)} cos(at)dt integrating by parts twice and the evaluation of the improper…

A:

Q: Consider the following two improper integrals: (1) 1 dx г — 5 -1.7 dx (2) (x –

A:

Q: 19. fy/6 + 4y – 4y² dy

A:

Q: Evaluate the following integrals. [e² sec ³ (eª) da 1 2 6 tan¹ x dx I 3 4 √9-w² w² dw pln(4/3) et dt…

A: Given data:- ∫x2dxx2-152, x>1

Q: 2. a) Evalute the following improper integrals 6. dx 3 3

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

Q: 1 2x dæ is an improper integral. 1

A: The definite integral is called a proper integral if the interval [a, b] is finite or bounded and…

Q: Evaluate the iterated integral [² [² 2e3² dy dx by changing the order of integration.

A: The given integral is ∫02∫x22ey2dy dx In original integration, the integration order is dy dx. Our…

Q: 6. Calculate the integral in parts: Je (2x + 4) cos(4x) da.

A:

Q: (2) Compute the following integrals. /4 (a) sin (4r) cos (4.r) dæ. (b) cos(ka)e-lz dx, Hint:…

A:

Q: 5. Evaluate the integral: Jsin?x cos'x dx

A:

Q: 1. Evaluate the integral using FTC Part 1. | (23 – 2a) dæ 2. Evaluate the integral using FTC Part 2.…

A: As per guideline we have to solve only one question

Q: 15. Evaluate the given integral, V4 – 9x² dx: arc sin () A. x V4-9x2 2 arc sin () x V4–9x² В. + c 2…

A: Giiven: To evaluate the integral∫4-9x2 dxFormula: ∫a2-x2 dx=x2a2-x2+a22 sin-1xa+c

Q: 4. Calculate the following integrals: 4 3 dx 1 – x2 dz 25z2 + 1

A:

Q: 15. Evaluate the following integrals: (b) , Tax+1)3/2 (c) f, (8)05xdx. 30 8 dx (a) J 7x+5)1/3 ' -dx,

A:

Q: Identify which among the numbers are odd-numbered integrals. 1. S21 cos 7x dx 2. S csc* dx 14. S dy…

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Q: 3. Evaluate the integrals. dx ( Use u = Vx(1+x)

A:

Q: d) Numerically approximate the integral 2+ cos(2Vx) dx by 3 Simpson's rule with 6 strips

A: Given integral is ∫022+cos2xdx. To evaluate the integral using Simpson's 38 rule. Consider the…

Q: 14 Find the integrals using integration by parts. -2 b. JVF In Vxdx a.

A:

Q: 2.5. Use integration by parts to evaluate the following: 2.5.1. In (1 + z*) dz [ con VE dz (3)…

A:

Q: 1. Evaluate the integral using Integration by Parts. (a). S In(Inx) dx.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 3+n (2x) dx By specifying the +ype of examine it by explainings conveyere integral, x --

A:

Q: 4. Determine the following integrals 4.2 - dx - a x

A:

Q: 9/u The evaluation of the Integral of S° sin2x cos4x dx is

A: we have to integrate

Q: Find the integral by Integration By Parts. 2. 0 cos r0 de 3. cos t dt 4. x² sin x dx

A: Integrating By Parts Rule.

Q: 25 2 8 5 cos (x²) 4Vz Evaluate the integral -dx dy dz by changing the order of integration in an…

A: Consider the provided question, We have to find the integral ∫025∫02∫4y85cosx24zdxdydz by changing…

Q: Evaluate the Cauchy principal value of the given improper integral. 1 [ (x² + 4)² dx

A:

Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

A:

Q: Consider the integral  ∫17⋅x⋅cos(8⋅x) dx Which of the following choices of uu and dvdv are…

A: The given integral is,∫17xcos8x dx

Q: Compute the given improper integral. Enter the exact value of the answ 13 1 dx x² – 25

A: Here we have to find the exact value of ∫5131x2-25dx=?

Q: 2 Evaluate the iterated integrals. 2 (x + 3) dy dx 0, 6. y sin x dy dx

A:

Q: Find a formula involving integrals for a particular solution of D.E y" + 3y" – y' – 3 y = tan x

A: In this question, we find the particular solution of the differential equation. Here, we used the…

Q: Find a formula involving integrals for a particular solution of D.E y" + 3y" – y' – 3y = tan x

A:

Q: a) Compute these two integrals shown below using one application of trapezoidal rule and Simpson's…

A: Given that ∫23x dx ∫-66x2cosx dx we have to calculate given integral using  trapezoidal rule.

Q: 1. Evaluate the iterated integrals. √27x² (a) [sin - dydx (b) √√x² - y² dydx

A: