Evaluate the integral гЗл /2 [2 Choose... + r.r dr de л/2

Q: Evaluate the integral using appropriate substitution. an V3- a de + C

A: It is required to evaluate integral by substitution.

Q: Use the substitution formula to evaluate the integral 6r dr V16• 3r² O 2V19 -8 O NIS .4

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Q: The integral 1 Jo JE (1 + x) is improper for two reasons: The interval [0, ) is infinite and the…

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Q: Evaluate the improper integral: rer dr 8.

A: Explanation of the answer is as follows

Q: 5. Use the binomial expansion and Cauchy's Integral Theorem to evaluate ( с 2n dz Z + -/-/-) where C…

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Q: Evaluate the integral: , (V4-z² dydz O 2[1- 4] + c O 2 [1 – ±] et

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Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4- 3.…

A: Given:

Q: Evaluate the double integral : ľ (o – 162) de dy

A: In the question it is asked to calculate the value of double integral…

Q: Evaluate the integral: (In z) dz =

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Q: 2. In r dr

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Q: Rewrite the iterated integrals in the order dydzdx 11-z- 1-z SS S f(x,y, z)dxdydz

A: Let's find.

Q: Evaluate the integral zedAwhere R = [0, 1] x [0, In(5)]. Round to three decimal places. R

A: From the given problem:   I=∫∫RxexydA   R=[0,1]×[0,ln5]⇒x,y ; 0≤x≤1,,0≤y≤ln5   So we can write as:…

Q: tVt2 + 2dt.

A: we can evaluate  the given integral by substitution method(Substitute  u=t²+2).

Q: use ctouble integral in polce cooadinato eva luate in 18f lo where R is . the geguon quadraut…

A: We need to evaluate ∫∫9-x2-y2dA and R is the region in first quadrant within the circle x2+y2 = 9 In…

Q: 1 dr. J =(1+ Inz)

A: Given indefinite integral is ∫1x(1+lnx)dx. Apply method substitution to solve the integral. Put…

Q: Evaluate the indefinite integral ∫⟨4cos2t,4tet2,2t+3t2⟩dt.

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Q: Evaluate the improper integral (A) diverges (в B (C) ml+ 2 3 √√2²233/3dx 4

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Q: Evaluate the integral. zp zul s)

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Q: Compute the integral: -3 dz (z – 2)*

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Q: Q.5 Evaluate the integral with the aid of the formulas 5,6, and 7. dt 9-4t2

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Q: Evaluate the integral: /25 – z z²dz

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Q: Evaluate the integral.

A: Let the given intergral be y -y = ∫01r34+r2dry = ∫01r24+r2 r drLet,x = r2Diffrentiating with respect…

Q: The improper integral 5dx is V1-x?

A: Since you have asked multiple, we will answer the first one. ∫015dx1-x2dxLet x = sin θ ⇒ dx = cos θ…

Q: dydr 13. Evaluate the double integral J, J, o x²+7 a, In 10 b. In 10-In 7 а. c. In 11 d. In 11+In 7…

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Q: Evaluate the integral. 8 Ox z dr dz de 5 4x 0

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Q: Find the integral b) Use the subslilation

A: This question is based on Integration.

Q: "(2 - sinoy de

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Q: Evaluate the triple iterated integral. LLL Jo π/4 6 6-r rz dz dr de

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Q: Rewrite the iterated integrals in the order ddzdy 11-z 1-z SS S f(1,y, z)dydzdr

A: ∫01∫01-z2∫01-zf(x,y,z) dydzdx To Find: Rewrite the integral in the order dxdzdy.

Q: Rewrite the iterated integrals in the order dzdydx 11-y? 1-y SS S f(x, y, z)dædzdy 00

A: The given integral is: ∫01∫01-y2∫01-y f(x, y, z) dx dz dy

Q: Q.5 Evaluate the integral with the aid of the formulas 5,6, and 7. dt V9-4t2

A: We have to solve integration .

Q: Finel the integraL of finchio XSina) wher ne 5 and (0,2) by Simpsors rule 3.

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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 integrals ∫8 cot4 t dt

A: The given indefinite integral is: ∫8 cot4t dt Since 8 is a constant, so take it outside. ∫8 cot4t…

Q: Inx 2. S soe ye*dzdxdy

A: topic - triple integration

Q: Consider the integral 7x – 21 da 2x – 3 If the integral is divergent, type an upper-case "D".…

A: the given integral is ∫027x-212x-3dx

Q: Rewrite the iterated integrals in the order dzdyda 11-y? 1-y SS Sf(,y, z)dadzdy 0 0

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Q: 1 -de is not an improper integral z +1 Select one: O True O False

A: We need to know the definition of Improper fraction to solve this

Q: 2. Use Cauchy3 Integral formula, Evaluate the following • I=0 e %3D

A: The given problem is to evaluate the given complex integral over the given contour using cauchy…

Q: Compute the integral by algebraic substitution

A: we put 1-3x=u so that dx=-1/3du.and solve the question. see 2nd step.

Q: what is the integral of z 3^z dz

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Q: z · 3°dz

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Q: Compute the integral S ye- dydx (Hint: Change the order) 0 2r

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Q: Evaluate the integral: (In z)6 dz %3D

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Q: rtoo Е. re dx स०२२

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Q: Evaluate the integrals

A: We have to evaluate the integral ∫33dt3+t2 We know  ∫dxx2+a2=1atan-1xa

Q: Evaluate the integral * -In2 2e0 cosh 0 do -In4

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Q: Evaluate the integral over the rectangle R: (a) |/ ev dA, 0 < ¤ < In 2, 0 < y < In 2 R (b) dA, 0 < x…

A: As we know that; The Power rule; ∫xndx=xn+1n+1+C ; n≠-1 And ∫eax+bdx=1aeax+b+C   (a). Given:…

Q: Use integration by parts to evaluate the integral: 3. In(r) dr r8 .020327 %3D

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