Q2) - Evaluate the following integral: 1 1.25+ cos w

Q: |S(1 – cos 4u) du

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Q: 4. Evaluate the following integral using three-point Gauss-Legendre quadrature: 3.5 dx Vx2 - 4 3.

A: We will use the three-point Gauss-Legendre quadrature. First we convert the given integral…

Q: Evaluate the iterated integral: a S " cos(2) dy dar.

A: Given that the double integral

Q: Evaluate the integral n²/4 cos vt dt Vt sin I Jesin vE n²/36

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Q: Evaluate the following iterated integral Vi- V1-2-y e(²+*+=)" dz dy dz.

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Q: Evaluate the multiple definite integral J, J. zr²sinu du dr dz

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Q: Evaluate the improper integral. 6 dx V36 - x? O A. 12 O B. 1 12 О с. O C. O D. 1 KIN

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Q: a) Evaluate the integrals using appropriate substitutions. dx Sino i)S i) f de Cos? 8+1 1+16x2

A: as per our guidelines I am solving only first question with both parts a(i) ∫dx1+16x2ii ∫sinθcos2θdθ

Q: Evaluate the indefinite integral r cos rdr %3D + C

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Q: Consider the following integrals 6 sin z i. 12 +8 et dt I. edt - 1

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Q: 3. Evaluate the following integrals: Cose G = 1+ sin ở) v de Vsin

A: LetI=∫cosθ1+sinθsinθdθPut sinθ=udifferentiate on both sidecosθdθ=duI=∫1u1+uduPut u=v2differentiate…

Q: Evaluate the integral f cos(lnx) dx = Select one: a. none

A: Given that,

Q: r cos (2x) COS

A: Given : The integral is ∫ cos4(2x)sin4(2x) dx .

Q: Evaluate the iterated integral. * Tt/2 r cos 0 dr de dz -1Jo

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Q: Evaluate the double integral. 8ху? dA, D is enclosed by x = 0 and x = 4 – y2

A:

Q: I know it’s u-sub, but I forgot how...

A: Given information:The given integral is

Q: Evaluate the following indefinite integral. 12 J 12 dx 12 12x %3D +

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Q: Evaluate the integral 20 | by making the appropriate substitution: u = 5 – 2 (2³ – 2)® dx %3D -

A: Evaluate the integrals

Q: Use the integral test to Σ cos 1/n n2 1 ך

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Q: 7/2 y3 cos os 2y dy

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Q: Evaluate the following iterated integral by reversing the order: 2.x cos(8y – y?) dy dx -

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Q: 2. Compute the following integrals. tan"(2) sec"(r) dr. (b) sin*(x) tan(x) dx.

A: (a) given that a integration of tan3(x) *sec6(x) Here we compute this integration. We know that tanx…

Q: Which of the following integrals represents the area of the intersection of r= 5+5 cos(8) and r = -5…

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Q: Evaluate the following integral tan z sec* Z 2 dz

A: To evaluate the given integral.

Q: evaluate the integral.

A: Let the given integral as

Q: TU f2 sin² p cos6 p dp

A: Solution is given below:

Q: Evaluate the integral. |a cos(6 z) dz =| %3D

A: Topic:- integration

Q: Evaluate the integral using the given substitution. 5- sin cos dt, u= 5- sin- cos 1 O A. 5- sin 3 t…

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Q: (a). Evaluate the following integral 1 dx x(x-1)? 2 -In(

A: Since all are different questions. So as per our guidelines, we are supposed to solve only first…

Q: Finel the integraL of finchio XSina) wher ne 5 and (0,2) by Simpsors rule 3.

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Q: Evaluate the following iterated integral. 4 2 x cos y dy dx

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Q: Evaluate the following integral using the Trapezoidal rule with n = 10 and h = 0.2 In (x² + 1)e co**…

A: According to the trapezoidal rule, the definite integral of a function fx over the interval a,b can…

Q: Evaluate the given indefinite integral. Indicate u, n, and du. [5lan2P etan 28 sec² 2 Bd ß

A: Let I=∫5tan2βetan2βsec22β dβ

Q: Evaluate the integral using the given substitution. x co 2 (3x) dx, u= 3x X COS sin (u) + C O B. sin…

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Q: Evaluate the following integral. TC - -4x coS x dx

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Q: Evaluate the f 2 3 8xy dxdy=? e following integral by usin tes -8 dA = ?

A: We have to find the value of the given integration according to the given information

Q: Evaluate the following integrals (taken anticlockwise) using Cauchy's theorem: (f) P.„(²+1)² eiz dz…

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Q: Evaluate the integral. | Te" cos(2x) de = 7e* cos(2x) dx +C

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Q: Evaluate the integral 10 cos(In(x)) dx, x > 0

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Q: Determine the following indefinite integral.

A: The given integral ∫1+3cosθdθ

Q: TU 2. fz sin² x cos4 x dx J

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Q: Evaluate the following integral be f (4? +3)cos(St). dt

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given, ∫0π42cos(x)dx

Q: Evaluate the following integral: J Sec?x -dx V1-tan2X

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Q: Evaluate the improper integral dz, if it exist (x² + 49)2

A: Here we have to evaluate the given improper integral.

Q: Calculate the following improper integrals or show they are divergent. (a) | cos(nt) dt (b) /. dx

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Q: Evaluate the integral. Tt/3 V1 + cos(2x) dx

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Q: Q3. Evaluate the following Integrals Stan* 0 sece de I. 2-16 хр- Vx II.

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Q: Use the specified substitution to find or evaluate the integral.

A: We have the given integral as I=∫et-3dt Let us consider that,…

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Evaluate the following integrals using theFundamental Theorem of Calculus.