Evaluate the integral Jzl=2(z-1)(z+1) az. enz

Q: evaluate the integral. li+4/ij-8r³/2k)dt

A: To evaluate the integral, ∫14t-1i +4tj-8t32kdt

Q: 7x2 V2x3 - 1 dx .2.

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Q: Evaluate the integral ∫1/ √tcos (√t+3)dt

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Q: dx Evaluate the integral V1 + 9x² 1) Which substitution will change the integral into one of the…

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Q: U V3-22- zt

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Q: calculate the integral of  integral of 0 to 4 for dt/64t^2+9

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Q: Evaluate the integral. 4 (5 - t)Vt dt

A: The objective of the question is evaluate the definite integral.

Q: Sx(Inx)² 2

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Q: Evaluate the integral. ds 7s- 2 ds = V7s-2

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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: 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 double integral S ry° dydx

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Calculate the integral ∞∫−∞dxx2+4.

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Q: Evaluate the integral. 1 ds V5s - 9

A: Given,         ∫15s-9ds

Q: Compute the integral 2u? du u² – 1

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

Q: calculate the 4-) integrals rdr a-) b-) (x2-9r+20)dr (-3)a

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Q: Evaluate the integrals ∫ et dt/e2t + 3et + 2

A: Evaluate: ∫ete2t+3et+2dt

Q: Evaluate the integral 3 -x a. So Sox² exy dydx 0

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Q: Evaluate Integral. integral 0 to 2 (4/5t^3-3/4t^2+2/5t)dt

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Q: Evaluate the iterated integral: dydx - 1/4 Jx2

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Q: "(2 - sinoy de

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Q: loS dt:

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Q: (1 + 1)² – 1 , dt

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Q: Compute the given improper integral. Enter the exact value of the answer. 7 In(4x)dr 0,

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Q: Evaluate the integral. | e3t V4 + et dt = %3D

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Q: COSz Show, without evaluating the integral, that z2(z + 1) *26 5 zp-

A: Given integral is , ∫ccoszz2z+1dz. Cauchy residue test: ∮fzdx=2πib1. Where b1is residue of fz.…

Q: Evaluate the integrals. In 3 6tei + Te'j+ 2 ln tk dt 18(In(3)-1)i+7(3-e)j+2(In(3))(

A: Topic- integration

Q: Use the form of the definition of the integral given in Theorem 4 in section 5.2 to evaluate the…

A: First integrate the function x2+7 with respect to x using the power rule of differentiation.

Q: In(y) Evaluate the iterated integral: ye 4xdxdy. Show all of your work.

A: To evaluate the iterated integral. ∫12∫0lnyye4x dx dy

Q: Inx 2. S soe ye*dzdxdy

A: topic - triple integration

Q: Evaluate the integral. 4 2t 9 -i- j+¬Vt k dt (9+?)*

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Q: Evaluate the integral a"(2* - 3) "de, 19 by making the appropriate substitution: u = 19

A: The given integral is ∫x3x4-319dx

Q: Evaluate the integral.

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Q: Evaluate the integral fff, xyzdV,where: E = {(x, y, z)|–1 <x< 1,0< ys 2,1 szs 2}

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Q: Evaluate the iterated integral. In 4 In 3 4x+ 2y dy dx 0 1

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Q: Use double integral to find the avea l2: of the regien (4, 3) 3. -

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Q: 8. Evaluate the iterated integral. /8-z2-ya zdz dz dy

A: The given question can be solved as explained in step 2.

Q: Evaluate the integral AP R = [0, 2] x [2, 4] × [-1, 1]. (y + z)2

A: As per the instruction, we will be solving only the first one.…

Q: Use the indicated entry in the Table of Integrals to evaluate the integral. 2 9V 4x2 – 3 dx; entry…

A: Solve, as follows: I=∫1294x2-3dx=18∫12x2-322dx

Q: rtoo Е. re dx स०२२

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Q: / (292 + 7)* - vz de. 5 Compute the integral

A: We apply u substitution

Q: Compute the integral: Integral of (e4x+5ex+2 divided by ex) (dx)

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Q: Evaluate the integrals

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

Q: 3 In 3x Evaluate the defınite integral : J 6x2

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Q: Evaluate the integral. to dt 5/2 x2 (x² – 16}"-

A: Given:  ∫ x2 dxx2 -1652 =?Using Substittution Method:…

Q: Evaluate the improper integral .a-2 dz. 1 dr. (4-a)2

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Q: Evaluate the improper integral : 6be 8z" dx

A: Note: As per our guideline we are supposed to answer only one question. kindly repost the other…

Q: Evaluate the Integral Sec² √r √x dr Njw SYD

A: Given: ∫1832sec2xxdx To find evaluate the given integral.