1 The integral of g(x) = will result to a+V9 – x² o a l csc* 0dO Odo 81 O b. None of the choices. ос. 1 Oc. S1 / sin' odo O d. 1 cos* Ode 81 O e. 1 4 csc" Ode 81

Q: Q.3 Find the double integral for Sl. x2 dydx, where R between y = -4/x y = -x and x = -4

A: Ti evaluate the given double integral  first we draw  the region

Q: In the integral of x cos 2x dx with limits form 0 to pi/2, what is the indefinite integral? Select…

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Q: how I calculate the definate integral 3x^2-e^2x(dx) on the interval ln3 to 0

A: To find the definite integral

Q: We have determined that du = 5x* dx. However, the given indefinite integral dx does not conta %3D x…

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Q: 6. Evaluate the integral ex e* +e-xdx

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Q: Evaluate the integral. S 20x cos x dx Select one: O A.80 sin. 1 40x cos + C O B.20 sin n1)x+ 40x cos…

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Q: The particular Integral for (D² + 19²)y = sin19z is Yp 38 O Yp 19 O None O Yp Zacon19z 38

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. [x x cos…

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Q: (5) Find the indefinite integral (a)f Vtan x sec²dx (b)fem2* sec² 2xdx sin x (c) Cos x 1 cos-do 0 2

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. x cos 7x…

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Q: 7. Evaluate the integral using integration by parts. S cos (5x)e 2* dx.

A: Given the integrationI=∫cos(5x)e2xdx

Q: 7. Express the solution of y" + 2y' + 2y = sin (3t) convolution integral (you don't need to evaluate…

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Q: Q.3 Find the double integral for Sle x² dydx, where R between y = -4/x y = -x and x = -4

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Q: 3. Solve the integral by two grid in the y-direction and four grid in the x-direction with…

A: Solve the integral by two grids in the y axis and four grids in the x axis with Trapezoidal rule:…

Q: 5. Evaluate the indefinite integral. S cososin'oc (1) (3x - 2)20 dr (2) (3) S etanr sec?rdr

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Q: To apply the integral test for 3n2 + 1 n3 +n n=1 we evaluate the improper integral 0 3x2 + 1 dx. x3…

A: Solve the following

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: 3. Evaluate the double integral /sin(x+y) dx dy by using Simpson's 1/3-rule with four sub-intervals.

A: I = ∫0π2∫0π2sin x+ydxdy,

Q: 3 by taking n= 6 [In x · dx solution of the integral with Simpson's • method 3. (y, + y2 + y4 + y3 +…

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Q: 3. Prove properties (3) and (4) analytically, by making x = -t in the part of the Integral from -a…

A: Concept:

Q: 7. Which of these is a non-elementary integral? In(2y² + 1) А. -dy 4y e-x cosh(2x) В. c. [ e-x +…

A: Non-elementary integral for a given elementary function is an  indefinite integral that is, itself,…

Q: In the integration of (cos y)^2 dy/(1 - sin y), what is the first step to solve the integral? a.…

A: Consider the integral: ∫cosy21-sinydy

Q: Compute this improper integral showing all steps.  integral of x ln(x) dx from 0 to 2.

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Q: Find indefinite integral.

A: ∫5lnz+3z dz Put, 5lnz+3=t⇒5·1z+0=dtdz⇒1zdz=dt5

Q: Only one of these calculations is correct to evaluate the definite integral | Vx²+1 dx Using the…

A: Given: ∫-13x2+1dx Solution: Here, fx=x2+1a=-1b=3n=4h=b-an=3+14=1 Now, we know,…

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: 3 1 L₁ dz -3 (x+2) ³0 Compute the integral:

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Q: Consider the improper integral: x² +2x+2 dx what will be the appropriate solution and answer? A Im…

A: ∫0∞1x2+2x+2dx

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: 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: When using Simpson's rule to approximate the integral In(x+1)dx, then the upper bound of the error…

A: Consider the given information. I=∫23lnx+1dx Let's take 1 for n for the error bound. Calculate the…

Q: 1. Find the exact value of the iterated integral by changing the order of the integration: 8 2 1…

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Q: Q4: a)Evaluate the integral: ( In(cosh2x) coth2x dx b) prove that sec-1x = cos-1! = Cos

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Q: 1 dx x /1 – (In x)² 1

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Q: 5 Only one of these calculations is correct to evaluate the definite integral 7x In(x) dx Using the…

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Q: 4. Evaluate the improper integral. dx х2 — 1

A: Consider the given integral as Solving the integral

Q: 3. If f f(x) dx = 13 and , g(x) dx = 4, find [ [3f(x)+ 4g(x)] dx **SHOW EVERY STEP USING THE…

A: If ∫07f(x)dx=13 and ∫07g(x)dx=4Find ∫073f(x)+4g(x)dx

Q: Calculate the integral approximation S6 for 0 -1 4-² dx.

A: In this question we have to find the Integration.

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

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Q: 3 Evaluate the improper integral :S e2 dx

A: e-198

Q: 1+1 dz is 1+ z6 By comparison test, the improper integral

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Q: - Prove using integrals Proper tos : e even sin()fc) dx=0 -b 9- For even functions.

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Q: 2 Evaluate the improper integral 4x e dx, if exists. 8.

A: Given that,           ⇒           ∫-∞2e4x dx   ,   if exist             ⇒         find the…

Q: 2. Evaluate the improper integral S₂ (5. dx (5-x)4/3 or state that it diverges.

A: The given integral,      ∫28dx5-x43

Q: by taking n = 2 • dx solution of the integral with Simpson's 1/3 method which one?

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Q: tep 4 Rewrite the integral by substituting for cos 60. 1. sin? 60 5/2 -(n)- cos 66 sin 60 de = 9.…

A: The given integral is sin2(6 theta)√cos(6 theta) sin(6 theta).

Q: 4) Reverse the order of integration in 2 2x x' dydx 0 x2 and evaluate the integral as an x-simple…

A: To reverse the order of the below integration. ∫02∫x22xx3dydx

Q: Select the improper integrals in the following list of definite integrals. 2 7dt o 1-t2 1 9x In(x)dx…

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Q: Only one of these calculations is correct to evaluate the definite integral Vx+1 dx Using the…

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

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