Evaluate the integral. S. sec Sx dx sec 8x tan 8x - In|sec Sx + tan Sx| + C 1 sec 8x tan 8x + In|sec 8x + tan Sx| + C .O 16 16 sec 8x tan 8x+ 16 16 *C + C sec 28x tan 8x +In|sec 8x + tan Sx| + C 16

Q: 4) Compute the integral where is the closed chrve SRe (z²)dz -2

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Q: Use the appropriate substitution to evaluate the following integrals: 9x² + 1 +C 2/9x² +1 V9x2 + 1…

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Q: can i get step by step help please

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Q: The set of all values of p which makes the integral x* dx is divergent is a) (-1, 0) b) (-n,-1) c)…

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Q: Evaluate the integral. Select the correct answer. 2√ 213, 9 S -1 -1 tan 2 ( 1² + 2x + 4) - ²¹ (+²) -…

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Q: Evaluate the integral. w2 In(w) dw

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Q: Evaluate the integral by using a substitution * x2 dx J Nx2 + 18 3x 2- 18 + 9 In (x + V2 + 18) + C…

A: Solve the indefinite integral by using the substitution method

Q: Let a, b> 0, then the integral x2a +1(1-x²)bdx, after changing variables y = 1– x will be expressed…

A: Given the integral I = ∫01x2a+11-x2 b dx To changing variables y = 1-x2 will be express

Q: Evaluate the integral: tejat A. 2 1n(e2t-e-2t) +C B. 2 1n(e2t + e¬2t) +C e20-e-2t In(e2t-e-2t) +c -…

A: To evaluate the given integral.

Q: Evaluate the integral. a) farctan 4t dt b)

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Q: Evaluate the integral S√x Inx dx 3 2 4 -x² Inx+ x² + C 03x³nx-x²+c 4 2 -x² Inx+ 2 C 15 3 2 4 °²x²nx…

A: We have to solve above integral

Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer. ○ 응z + 3z + C O 2x5 + 3x +…

A: ∫xndx=xn+1n+1+C , C is a constant and for any real number n.

Q: Is dz

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Q: A. Evaluate the following integrals: S tan'x dx 3 1. 4 2. csc* xdx 3. |tan 3x sec 3xdx 4. ſcot'x…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Evaluate the integral. w2 In(w) dw 1.

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Q: Verify Green's Theorem by evaluating both integrals ax dA ду for the given path. C: rectangle with…

A: From: (0, 0) to (5, 0)y=0, dy=0∫ y2 dx+ x2 dy =0From: (5,0) to (5, 9)x=5, dx=0∫09 x2 dy= ∫0925…

Q: Evaluate the integral by making the given substitution. dt u = 1 - 7t (1 – 7t)6' -

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Q: Evaluate the integral. e3t V2 + et dt =

A: We have to find the indefinite integral

Q: Evaluate fv*+1dx x2 A. 를 (1 +즐)를 -를 (1+ 즐)를 :. 를 (1-즐)를 -를 (1-2)를 + C + C + C D. + C Evaluate the…

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Q: Which substitution is needed to evaluate the integral S tan* x sec² x dx =? u = tan* x, du = sec? x…

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Q: 1. Evaluate the iterated integral. .Só Sa(x² + y) dyd.x b. S So sin(x²) dydx 2y -1 x+1 dydx с.

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Q: Evaluate the integral of F(x,y) = x^2 y^3 in the rectangle with vertices (5,0);(7,0);(7,1);(5,1)…

A: We have to evaluate the integral of F(x, y).

Q: Find the area +6 C1 R -6 +6 C2: 4x2 + y² = 16 -6 using green's theorem.

A: We are given the above region of which we need to find the area and as per the instruction, we need…

Q: Evaluate the integral using the given substitution. u=8x + 10 /8x+10 A. +C 3/2 8(8x+10)* O B.…

A: Simply integrate

Q: Evaluate the integral. (Hint: u-sub) sec x tan x dx 5+ sec x O 5 In Isec xl + C O In 15 + sec xl + C…

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Q: Find the product of the integral 1- S x²cos(xy)dxdy

A: We have to change order of integration first.

Q: Can you help with this problem step by step?

A: Given:

Q: Evaluate the integral. S yz dx dz dy 0 2 2 O 128 3

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Q: Evaluate the integral. Select the correct answer. O 3100 3100 3100 t + t + sin 16t+sin 32t+C 75 1…

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Q: Specify the substitution you would choose to evaluate the integrals. √ √4-2t dt Ou=t Ou = 4-2t O u =…

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Q: Specify the substitution you would choose to evaluate the integrals. S (t + 4) e²+8+1 dt Ou=t+4…

A: The given integral is ∫t+4et2+8t+1dt. We have to find substitution for the integral.

Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

Q: Evaluate the integrals. /3 (5 sec t tan t)i + (4 tan t)j + (3 sin t cos t) k dt =…

A: The integral is, ∫-π 6π  35secttanti→+4tantj→+3sintcostk→dt The first coordinate is∫-π  6π…

Q: .4 The integral f has a value of: a. In y In 4 b. С. d. In 2 е.

A: Hi There,  As per bartleby rules, we are supposed to do only one question at a time.  Kindly repost…

Q: Evaluate the integral. 1³w² in w² In(w) dw

A: We will solve the integration

Q: Evaluate the integral. (Hint: u-sub) Cos x dx 1 + 4 sin x O! Inl1+4 nin x| + C 4 In |1+4 sin x | + c…

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Q: Evaluate the integral using the given substitution. (6(y6 + 2y3 + 1)° 2y5, 2y2) dy,u= y6 + 2y3 + 1 O…

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Q: Evaluate the integrals of five only of the following: 1) I = St2 e" dt 2) I = Se-2x sin 2x dx 3) I =…

A: Please refer the attached image for complete solution.

Q: 2 Evalu ate the fllowing integral - R Is the regiovi be undéd by the grapis x:2, y= x-5, and…

A: We will evaluate the required value.

Q: Evaluate the integral: S csc²xv1+ 3cotx dx. A. (1+3cotx) + c B. -3(1 + 3cotx) + c c. (1+3cotx) + c…

A: Solve the integration

Q: Evaluate the integral given below. Vīn3 e dædy (2VIn3 4/5 O 3vln3 In3 1

A: The given integration is  

Q: Evaluate the line integral IF.då over the path C to Q (2,4) from P(0,) where F(xy) = 2xy2 + 3y f 131…

A: According to question, Given function, F→x, y = 2xy2 i^ +3y j^,We have to calculate line integral…

Q: Evaluate the integral. 7. w2 In(w) dw

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Q: The suitable substitution to evaluate the integral [V tan (2x) dx is cos (2x) O u= sec(2x) u =…

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Q: Evaluate the integral. sec3xdx A In sec3x+ tan3x+c There is no correct answer from the given…

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Q: Use the appropriate substitution to evaluate the following integrals: / e++da ... e3z+4 +C 3 e3x+4 +…

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Q: evaluate the Cauchy principal value of the given improper integral. roo 1 dx 6x + 25 | roo x2 dx (x2…

A: The Cauchy principal values of the given improper integrals areevaluated as shown below.

Q: Evaluate the integral. s'a In óx dx 219.01 190.21 187.01 O -61.21

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Q: Evaluate the iterated integral 3 1/x 4 = S S yla³ dydæ 1 1/22

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Q: Evaluate the following integral. JJJ (xy + xz + yz) dV; D = {(x,y,z): - 4sxs4, - 2sys2, -6<zs6} JI…

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