Evaluate the integrals below: cos3x a) dx, b) 2y Velina - 1) etsin3a)

Q: Sketch the curve y cu. = x sq.   Use Formulas 3 and 4 to set up two integrals for thearc length from…

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Q: Evaluate the integral using FTC I.

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Q: Use symmetry to evaluate the following integral. 2 ja (2- |x|) dx - 2

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Q: @ set up, but do not evaluate the integral for length of y= Vx+2 , I5X<7

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Q: Parle to Fully demonstrate eva luate the Integral Litegration by demonst ra te 3メ 5xe

A: Given : ∫5xe-3xdx

Q: Evaluate the integrals in Exercises  by making a substitution(possibly trigonometric) and then…

A: since you have posted multiple questions so I'll solve first one for you , for rest question's…

Q: Find what value of c does ∫∞7c/x^3dx=1 (integral is from 7 to infinity)

A: find what value of 'c' does∫7∞cx3 dx = 1taking integration on left sidec x-3+1-3+17∞   = 1c -2(x2)7∞…

Q: Evaluate the integral using FTC I.

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Q: O Calculate He in tegual usng the Caucly Integral Theoren sin b (2) dz

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Q: Evaluate the integral SR 8xydA, where R is the triangle 8x + y 0, y 2 0. SR 8zy dA =

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Q: Evaluate the integral by making the given substitution. sec(6z)tan(6æ)dr, u = 6z + C

A: According to question given :∫sec6xtan6x dx, u=6xWe have to evaluate the integral by making the…

Q: Evaluate the integral da 2+ et using the substitution u = 2+ eª. dx 2+ et +C | -

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Q: Evaluate the impropec integral oc sho that it diverges, dx

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Q: Choose five other iterated integrals that are equal to the given iterated integral. r2 f(х, у, 2) dz…

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Q: Evaluate the integral. * m/6 cos(z) dz sins (z) Jn/2

A: Given,          ∫π2π6coszsin5zdz

Q: Evaluate the double integral /| (2² + 8y) dA, where Dis bounded by y = x, y = x³, and æ > 0. Answer:

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Q: Calculate the integral $dz, where C: |z] = 2.

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Q: Apply Cauchy integral formula to find the value of the integral ſ. AG-DE dz; where C: |z| = 3. 2z-1

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Q: Compute integrals b) dz 7 cos(z) ris Countercleckunse oriented rectangle with -2,ス-6,2tースォ Jis…

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Q: Find the anc length oF t1x)=x° on [o,] Hint; use the Integral Tables,

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Q: Use an appropriate contour integral to evaluate the following real integral rinfinity (26 – 8)dx Jo…

A: Given, integral is as, ∫0∞x6-8x4+5x+42dx  I=12∫-∞∞x6-8x2+12x2+42dxconsider…

Q: Evaluate the integral using FTC I.

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Q: Evaluate the definite integral dy using area formulas from plane geometry: (2.x + 3)dr

A: the given definite integral is: ∫-222x+3 dx we have to evaluate the definite integral by using the…

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: Evaluate the integral f, (5x + 6y²) dA, where R = {(x,y)|0 < x < 4,0 < y < 3}.

A: Given integral is ∬R (5x + 6y2) dA Where R =  (x, y) | 0≤x≤4, 0≤y≤3

Q: Use the given substitution to evaluate the integral.

A: Given integral: ∫sec22θ tan2θ dθ

Q: Use Property 11 to estimate the integral xxD esin x cos y dA, where is thedisk with center the…

A: We know that –1 ≤ sin x ≤ 1 and –1 ≤ cos y ≤ 1, Hence, –1 ≤ sin x cos y ≤ 1

Q: The value of the triple integral J.J.J v+2z)dzdydx (Correct to ONE decimal place) will be

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Q: , evaluate the given double integral. I sinxcos(y – n)dxdy 10.

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Q: Evaluate the integral by making the given substitution. sec(5z)tan(5z)dz, u = 5x +C Submit Question…

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Q: Use a computer algebra system to evaluate the iterated integral. 9 y dz dx dy 9 -

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Q: Evaluate the integral. dx dy dz O 168 84 O 252 O 28

A: The given integral is: ∫1e7∫1e6∫1e21xyzdx dy dz Let, I=∫1e7∫1e6∫1e21xyzdx dy dz

Q: Evaluate the integral Sr 8ry dA, where Ris the triangle 8x + y 0, y > 0.

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Q: Evaluate the integral by making the given substitution. sec(4x)tan(4x)da, u = 4x + C

A: To find following integration  I = ∫ sec(4x).tan(4x).dx

Q: Evaluate the double integral | 3xydA where Ris bounded by y=2– x, y=0, and x =4 –-y² in the first…

A: this problem is related to application of integration

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: Evaluate the integral using FTC I.

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Q: Find the integrals. a) R= %3D R.

A: First we have to plot region of integration.

Q: ir a unit circle centered at 7=1) (2 -17

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Q: Prove that the area of the cardioid 3 r = a(1- cose) is , πα?. 2

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Q: Evaluate the iterated integral. SIT stad dy dx dz 5ze

A: Answer and explanation is given below...

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (x? 4x…

A: We can find the solution

Q: (24 — бх) dx 14

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Q: Is the integral / A · dr path independent if A = (2x - y)i+ (x + y)j? of Evaluate A · dr around a…

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Q: Write five other iterated integrals that are equal to S, L f(x,y,z)dz dx dy.

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Q: Choose five other iterated integrals that are equal to the given iterated integral. '2 f(x, y, z) dz…

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Q: Use the Cauchy integral formulas to evaluate the eiz cos z dz, Yo z2(2z – 37) | where C is the…

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