4 35) dx 1 1 (1+ x2)arctan x A) B) 4 In 2 C) 4 In D) 4 In 7 2

Q: Evaluate the integral, AP where, E lies between spheres +y + z = 2 and a + y + = 3. for a 20

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Q: Evaluate the integral using FTC I.

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A: since you have posted multiple questions so I'll solve first one for you , for rest question's…

Q: Evaluate the double integral given by p2 sinOdrd0 TT JO

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Evaluate the integral using FTC I.

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Q: O Calculate He in tegual usng the Caucly Integral Theoren sin b (2) dz

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Q: Express the integral in terms of the variable u, but do not evaluate it. In c dr; u = In x rels In c…

A: To determine: where  u = lnx

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A: We are given with the integral and evaluated

Q: hipln] = = = juM/2ejun dew sin[wc(n – M/2)] A(n – M/2)

A: Definite integration

Q: Use contour integration to compute the following integrals. (a) 1. 2π cos(20) dv 5+4 cos v

A: (a) Given integral ∫02πcos(2ϑ)dϑ5+4cosϑ. The objective is to compute the integral by using contour…

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Q: Evaluate the impropec integral oc sho that it diverges, dx

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Q: Choose five other iterated integrals that are equal to the given iterated integral. r2 f(х, у, 2) dz…

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Q: Evaluate the integral. * m/6 cos(z) dz sins (z) Jn/2

A: Given,          ∫π2π6coszsin5zdz

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Q: Evaluate the integral 20 | by making the appropriate substitution: u = 5 – 2 (2³ – 2)® dx %3D -

A: Evaluate the integrals

Q: Find the anc length oF t1x)=x° on [o,] Hint; use the Integral Tables,

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Q: Use an appropriate contour integral to evaluate the following real integral rinfinity (26 – 8)dx Jo…

A: Given, integral is as, ∫0∞x6-8x4+5x+42dx  I=12∫-∞∞x6-8x2+12x2+42dxconsider…

Q: Calculate the iterated integral 2 So Só Væ + ydædy

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Q: Evaluate the integral using FTC I.

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Q: Evaluate the integral. |, arctan(1/x) dx (: -) * + In( *) 9. 2 O +In 2 4 (÷ - *) *+ In V3 8 n + 4 9.…

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Q: Evaluate the integral using the given substitution. 15) 1- sin cos dt, u = 1 - sin 13 1 - sin + C A)…

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Q: 7/2 y3 cos os 2y dy

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Q: Use the fact that cos(z) = R(eiz) = (eiz + e-iz)/2 to find the integral of (e3xcos(4x))dx.

A: Here the given integral in not in the complex form so we calculate the integral as it is given in…

Q: 19. z?e-l/? (a) |z| = 5 %3D

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Q: Evaluate the double integral x cos y dA, where D is bounded by Y = 0, y = x², and x - 2. Answer:

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Q: Use this result to either evaluate the improper integral +oo 5xe dr or show that it diverges.

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Q: By using trapezoidal rule, n=2, The integral J = -π/2 ST O 0.9480 O 0.94809 O 0.9481 O 0.9444 O…

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Q: Evaluate the integral using the given substitution. 5- sin cos dt, u= 5- sin- cos 1 O A. 5- sin 3 t…

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Q: Evaluate the integrals LI Vy+I dy b. So a. 5r dr (4+r²)?

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Q: Sketch and evaluate the reverse integral 3. dy dz

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Q: , evaluate the given double integral. I sinxcos(y – n)dxdy 10.

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Q: Calculate the integral Sa-ydA D where D = {(r, y)|0 < < 2y < 2}. %3D

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Q: Evaluate the integral Sr 8ry dA, where Ris the triangle 8x + y 0, y > 0.

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Q: Evaluate the integral Ja (2 – 2) " da, - by making the appropriate substitution: u =

A: The given integral is ∫x2x3-219dx

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

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Q: The suitable substitution to evaluate the integral (V cot (2x) dx is sin (2x) Ou3tan(2x) none Ou=…

A: To find The suitable substitution to evaluate the integral.

Q: Use the substitution formula to evaluate the integral. , π/2 20) cot x csco x dx T/6

A: on solving this we get

Q: Evaluate the triple iterated integral. T/2 r cos é dr de dz Jo

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Q: Evaluate the integral using FTC I.

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Q: Find the integrals. a) R= %3D R.

A: First we have to plot region of integration.

Q: Evaluate the integral using FTC I.

A:

Q: The result of the integral in 0 given V Vr²- 25 -dy is 5 tan0 -50 +C, True B False

A:

Q: evaluate the integral using substitution method sin√w/√w dw

A: The given integral beI. I=∫sinwwdw. The most important step is to convert  variable such that the…

Q: Evaluate the improper integral dz, if it exist (x² + 49)2

A: Here we have to evaluate the given improper integral.

Q: In evaluating the inte gral, Substitution leads to a now integral S f(u) du xST+2x dx 1 Correct for…

A: Given∫012x21+2xdx

Q: Evaluate the integral by choosing a convenient order of integration: x cos(xy) cos' (Tx) dA; R 0, x…

A: Given