x dy - yz dz where C is the line segment from (4, -1, 2) to (1, 7, –1).

Q: 210z (42x + 42) dz Evaluate the given integral with suitable substitution :

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Q: Evaluate the line integral -ydx + xdy along the curve C: y? = Зх from (3,3) to (0,0). NOTE: Enter…

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Q: 3x - 2y ds where C is the line segment from (3, 6) to (1, –1). |

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. dy…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the indefinte integral. (2x+ (2x+3)lnx dx'

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Q: S 4 sec2x dx 2. tan2x+2tanx +5

A: topic - indefinite integral

Q: 31. /| z sin(z + y) dA, R= [0, #/6] × [0, 1/3] R

A: ∬ x sin(x+y) dA,R =[0, π6]×[0, π3]0≤x≤π6,  0≤y≤π3

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 2…

A: Given: I=∫04∫y2ex3dxdy The region bounded by the curves x=y ; x=2 from y=0 to y=4 is as shown below;

Q: a) By using integration by parts, find the integral Inx dx. b) Hence, find In Vx dx.

A: We have to apply the integration by parts.

Q: Q3/Find the value of integral along the curve C joining the points (1, 1) and (2, 3) | (12z2 – 4iz)…

A: We have to find the value of integralalong the curve C joining thepoints (1, 1) and (2, 3).

Q: 2 yx? – 4x ds for each of the following curves. Cis the line segment from (3, 6) to (3, -6).

A: To evaluate the integral ∫CfdsWe need to find the Parametric equation for a line segment between x0…

Q: Evaluate the integral. (Use C for the constant of integration.) 5x+e5z te* dx

A: Given,            ∫6e5x + e5x dx

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: I = ∫ x ln (5+x) dxLet  5 + x = u       dx  = duand,          x = 4 - 5

Q: z² +1 dz 2²(z – 1) K

A:

Q: Evaluate the line integral along the path C given by x = 6t, y = 24t, where 0 tS 1. (x+3y²) dy Need…

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Q: Approximate the value of the given integral by completing parts (a) and (b) below. (a) Use the…

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Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 30x from (30, 30) to (0,0). NOTE:…

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Q: show that the differential forms in the integrals are exact. Then evaluate the integrals.

A: To Determine: show that the differential forms in the integrals are exact. Then evaluate the…

Q: olve the given DEQ whose solution is defined by integrals. Show each step of vorking for this…

A: We use the fact d(constant)=0  for determining costant C.

Q: Use any of the results in this section to evaluate the given integral along the indicated closed…

A: Cauchy’s Integral Theorem : If f(z) is an analytic function in a simply-connected region R, then…

Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 9x from (9, 9) to (0,0). NOTE: Enter…

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Q: Evaluate the line integral - -ydx + xdy along the curve C : y? = 3x from (3, 3) to (0,0). NOTE:…

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Q: 2* csch (2*) dx J cosh(2*) – sinh(2*)

A:

Q: Using Charpit’s method, find a complete integral of the following equations: xpq + yq^2 =1

A: We have to solve given problem:

Q: A particle moves in a straight line with the given velocity (in meters per second). Find the…

A: Solution...

Q: Evaluate the integral. (Use C for the constant of integration.) 19z3e? dz

A: Explanation of the answer is as follows

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 1 3…

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Q: L x(1 – 2r*)° dx

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Q: Set up an integral that represents the length of the curve. X = Vу - 9у, 1 s y <4

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. •3…

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Q: Evaluate the line integral | -ydx + xdy along the curve C:y? 30x from (30, 30) to (0,0). NOTE: Enter…

A: We need to find integral.

Q: To find the arclength of y = 3x² + 3 from æ = 0 to x = 4, which is the correct integral? OL = | VI+…

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. 357x dx хе…

A: The integral is given by I = ∫xe357xdx                              ........1 To Identify: The…

Q: Evaluate the line integral along the given path. (Give your answer correct to 2 decimal places.) |…

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 1…

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Q: Use Trapezoidal Rule with number of sections (4) to calculate the double integral below 2 3 I =…

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Q: Consider the curve defined by the equation y = 5x + 1x. Set up an integral that represents the…

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Q: 6. S ze 4z² dz

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Q: Given: J Vx sinh TV

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Q: Set up an integral that gives the length of the curve y2 + y = 2x from the point (1,1) to (3,2)

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Q: Calculate the integral approximations T3 and Mg for dæ. Your answers must be accurate to 8 decimal…

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. 297x хе dx…

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Q: I+tgX dx; 2 COS X cos

A: Given: ∫1+tanxcos2xdx

Q: Evaluate the line integral -ydx + xdy along the curve C: y? = 30x from (30, 30) to (0,0). NOTE:…

A:

Q: eiz 0o cos x dx? cos z Can you use - 1+ z2 instead of - 1+ z2 to obtain the integral for Jo 1+x²

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Q: (12) Sz sec¹z dz.

A:

Q: Consider the curve defined by the equation y = 3x + 4x. Set up an integral that represents the…

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Q: 1. Evaluate the line integrals x + Y ds and

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

Q: Evaluate the line integral, where Cis the given curve. (x + 6y) dx + x² dy y (6, 1) C (7, 0)

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Q: Evaluate the line integral -ydx + xdy along the curve C : y = 3x from (3, 3) to (0,0). NOTE: Enter…

A: We have to find the line integral ∫C-ydx+xdy along the curve C: y2=3x from (3,3) to (0,0)