Evaluate the integral *(* – 10)"dz 6 by making the substitution u = 1 z° – 10- +C

Q: 2. Use Cauchy's Integral formula, Evaluate the following sin42 IZ1= 3. (Z-4)3

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the integral. 7y 1-7y dy

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Q: Compute these integrals: dz 3114

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: Use a substitution of the form u = ax +b to evaluate the indefinite integral belov 7x+1 dx 7x+1 dx%=

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Q: 14. Verify that f cotx dx = In(sin x) +C. (Do not try to solve the integral from scratch.) %3D

A: Given: verify that ∫cotxdx=lnsinx+c For verifying given integral, we integrate given integral

Q: Consider the integral -8e-2' dt If the integral is divergent, type an upper-case "D". Otherwise,…

A: Given: ∫-∞-1-8e-2tdt

Q: Evaluate the integral of xydx from x =3 to x=6 when x = 6cos angle and y=2cos angle

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Q: 1= [3y/7-3y° dy

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Q: Evaluate the derinite Integral. #5 In(x) dx

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Q: evaluate the definte integral 4 at the top and 1 in the bottom square root of y+1

A: Given,         The integral 4 at the top and 1 in the bottom square root of y+1.

Q: 6. Evaluate the fallowing real integrals by residue theerem 3 2计 I = Ssine -d8;a>l anse 2(a- Ja?1)

A: Given: I=∫02πsin2θa+cosθdθ, a>1

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: We need to integrate∫ex-8x-8dx

Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using right endpoints with 4 rectangles;…

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Q: Calculate the indefinite integral: ∫ (9t−2/3 + 4t7/3) dt

A: Integration formulas help to find the integration of the given function. The integration formula…

Q: Compute the integral of f(x) = 0.4 – 2x² + 40x5 from a = 0 to b = 0.8 using i. Trapezoidal Rule with…

A: Numerical integration

Q: Identify the type of generalized integral +00 fx'e* dx- and in continuity (if converging) to be…

A: According to question,Given Integral,Let I= ∫0+∞ x2ex3 dx

Q: (2t+1)(2t-1) dt

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: In 2 sinh?xdx - In 2

A: Given problem:-

Q: Is the integral of 2x wrt x equal to 2x^(1+1)/(1+1)?

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Q: dx%3D 9+x²

A: Solution is given below:

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

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Q: 2. Use Cauchy's Integral formula, Evaluate the following • I= sin4z ,IZl= 3

A: I am attaching image so that you understand each and every step.

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

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Q: Evaluate the integral 35 dz 4 by making the substitution u = x* – 6. +C

A: integration

Q: The improper integral 2dx is 1-x2 0.

A: π

Q: Find the integral t5sin

A: let  I=∫t5sin(t6)dtsubstitutet6=udifferentiate6t5dt=duort5dt=16du

Q: de 1+tan 0 k/2

A: Let I=∫0π2dθ1+tan θ      I=∫0π2dθ1+sin θcos θI=∫0π2cos θ dθcos θ+sin θ     ....(1)Using property…

Q: Can i get help step by step with this problem?

A: We need to evaluate the value of the given integral

Q: | 7x2 V2x3 - 1 dx

A: Here the given integration I=∫7x22x3-1dxNow Substitute as2x3-1 =u⇒6x2dx=duThus the integration…

Q: Find the integral using the substitution u = t3.

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Q: Evaluate the integral. 2 - 121 y - 121 2 -dy, y> 11 dy=

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Q: Compute the integral of f(x) = 0.3 – 2x² + 40x³ from a = 0 to b = 0.8 using i. Trapezoidal Rule with…

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Q: In3 xp;

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Q: Evaluate the integral from 0 to infinity of 1/[x2+5x+4] or show that it diverges

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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: Evaluate the integral. S- dx 8 =, x> 7 V49x2 - 64

A: Solution-

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

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Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using mid points with 4 rectangles, you…

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Q: Calculate the indefinite integral 4dy V4-9y2

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Q: Evaluate the integrals ∫√(25 - t2) dt

A: We have to evaluate the integral: ∫25-t2 dt Rewriting the integral, ∫25-t2 dt=∫52-t2 dt We know the…

Q: Compute the integral using contour integration: 27 cos no (cos 0+a)20 for a > 1.

A: Note:- ∫C fz dz =2πi ×sum of residues cosnθ= Re ei nθ  cosθ=ei θ+e-i θ2      Given that  ∫02π…

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: z · 3°dz

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Q: Consider the integral 2x x² dr. Use the composite Trapezoidal rule with n = 4 to approximate the…

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Q: Evaluate the integral. 7 - x2 | x5y dy

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Q: Evaluate the integrals in ∫3 sec2 t/6 + 3tant dt

A: Given integral is, ∫3sec2t6+3tant dt

Q: Consider the integral 2x [2 dz. 4 Use the composite Simpson's rule with n=3 to approximate the…

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

A: The given integral is: ∫45∫23xcosydydx Here  x0=4, x1=5y0=2, y1=3fx,y=xcosy By Trapezoidal rule,…