V4 the integral | -dx, becomes O None cot2 (0)d0 tan? (0)de cos? (6)de 4 sin (0)de

Q: Which of the following integrals represents the length of the curve y = cos(x), 0 < x < 2n? A. V1 +…

A: We have to find integral that represents the length of given curve.

Q: II. Find the following indefinite integral. 4 -5y + ye +r sec" y - 7) dy 1. + 2? - z+1 dz 2. 1+22

A: Integrate it. P

Q: Which one of the integrals below represents the area of the region that lies inside the curve r = 3…

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Q: me result of the integral in 0 given | V ²– 25 -dy is 5 tane – 50 +C , y A) True B) False

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Q: 16. Determine the following integrals: (a)Scos 8.xdx. S sin" x.cos.xdx (b)? sec² xdx (c) (d)Se*dx

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Q: I. Evaluate the following integrals. 1. Sx sin 3x? dx tan y 2. S dy 1-tan²y 3. S sec?(3 – 2t)dt

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Q: cx² +y² Convert the integral 4.xz dz dy dx into an integral in cylindrical coordi- nates. You do not…

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Q: 1/30 15x e cosh (15x) dx. Determine J= (Hint: You should not compute the integral by parts. Use the…

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Q: 36 - Evaluate the integral: dx (A) Which trig substitution is correct for this integral? Ox = 6…

A: Given that: ∫3x2-36x4dx

Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx = (xy + 1)²

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Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx (xy + 1)²

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Q: 5. Evaluate triple integral Szr? sin e dz dr d0.

A: We know that,∫sinxdx=-cosx∫xndx=xn+1n+1The given integral…

Q: S. dx What should be the rewrite of so that the resulting integral is integrable? 1- cos x ® Sa-. А…

A: NOTE: Refresh your page if you can't see any equations. . multiply and divide by

Q: (d) S tan? 3t dt 5 cos? x - 3 tan x (e) S dx cos x

A: We use substitution method and Trigonometry identities to solve these integration

Q: dx Given that /2 || 1+sin² x 2/2' ) please evaluate the double integral CT/2 pT/2 1 dx dy (1+ sin?…

A: We have to find value of given Integral.

Q: Evaluate the integral: a. ∫10(te + et) dt

A: Since you have asked multiple questions in a single request, as per policy, only first question is…

Q: Q3. Evaluate the following Integrals Stan? 0 sec? e de | cos 7x cos 2x dx 4sin3x dx 1+cosx Q4.…

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Q: Y Evaluate the following integrals: 1) tan(3x +5) dx evs -1 2) dx 3) [Vx² -x' dx 4) sin(tan 0) sec 0…

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Q: Evaluate the integral. cos y dy 2, siny+ 3 sin y - 28 S: cos y dy 2. siny +3 sin y - 28 (Type an…

A: To evaluate∫cosysin2y+3siny-28dy

Q: 1 dx becomes: Using a trigonometric substitution, the integral x* V1-x? Select one: Jcsc* e de Sante…

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Q: I. Evaluate the following integrals. (Simplify ) x²dx x3-a³ S sec²(3 – 2x)dx ·cos³ydy 1-siny

A: See the detailed solution below.

Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx (xy + 1)

A: We need to evaluate the integral- ∫04∫01x(xy+1)2dydx Here integral is with respect to both x and y.…

Q: (e) Evaluate the following integrals. Sx: Sx sin vx2 + 1 dx (i) (ii) =dx Vx2-2х-8 cost (iii)…

A: This question is related to integration .solve in step 2.

Q: r6 Evaluate the integral dx dy by reversing the order of integration. NOTE: Enter the exact answer.…

A: We're going to solve

Q: Q2) Evaluate the integrals 1) f (sec 0 tan 0) VI + sec 0 d0 , 2) sa+v2 du

A: 1. ∫secθtanθ1+secθdθ Take  1+secθ=tsecθtanθdθ=dt Therefore,…

Q: Evaluate the definite integral. 2exin ( z ) cos(z)dz 0.

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Q: L? + 1)? dx evaluate the Cauchy principal value of the given improper integral. x? (x² + dx 1)?

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Q: Fined the specitic integrals (show calcoladion e x' (Inx) dx 1. /2 2) 7 sinx cosx dx 10 3) メ-MS 2.…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: Q5. Use a double integral to evaluate [f sin 0 dA where R is the region in the first quadrant that…

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Q: 3. Which of the following integrals requires integration by parts? A. S csc°0 de B. S cot*0 csc*0 do…

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Q: y= cos 3x, for 0sxsn a. Which of the following is a simplified form of the integral? 元 OA. -3 cos 3x…

A: Formula Used: length of arc:

Q: Evaluate the integral. 3a/4 (a) csc 0 cot 0 de (b) (cos x + | cos x|) dx

A: Integration Question

Q: 1. Evaluate the following integrals 5ecz sin z dr. cos? I (a) (b) e sin zdr (use integration by…

A: Explained below

Q: Vy²– 25 The result of the integral in 0 given dy is 5 tane – 50 +C, y

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Q: I.Evaluate the ff. iterated integrals. n |4 2 sin x cycosx y dz dy dx Jo

A: To evaluate the given triple integral.

Q: - sin(y) dy: cos(y) + 7 Consider the integral- This can be transformed into a basic integral by…

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Q: Evaluate the integral. cos y dy sin'y +2 sin y - 15 2. cos y dy 2. siny +2 sin y - 15 (Type an exact…

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Q: Q.1 Find the double integral le cos x² dA Where R between : x=-y/2, x=1 and y=-2 , y=0. Q.2 Sfr…

A: Please see the explanation below

Q: HW/calculate the integral the following -S e-st tan(t) dt

A: Given that, ∫0∞e-sttant dt From 0 to ∞, The e-sttant is increasing function.

Q: Q2:A/ Evaluate the integrals 1/x sec (1 + e) tan (1 + e) dx Q2:B/ Find dy/dx Vidt sin x cos t dt 2

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Q: Integral of cos^2 y cot y dy

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Q: The best substitution to use for the integral sin z V1+ cos z dx

A: when we substitute, u = 1 + cosx then the value of du = - sinx dx

Q: Q.1 Find the double integral , cos x? dA Where R between : x=-y/2, x=1 and y=-2 , y3D0.

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Q: a²f, a2f ax ay2 ду? f(x, y) = In(x2 + y?) + tan-1() A- Show that = 0, where B- Evaluate the integral…

A: Dear students you have asked multiple questions. As per our policy your first question will be…

Q: y2 – 25 The result of the integral in 0 given -dy is 5 tane – 50 +C , y (A) True B) False

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Q: (a) Use integration by parts to evaluate T/4 | 0 sin(20) dð . (b) Use the substitution u = 1+ x to…

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Q: sin 2x costx + cos?r -dx integrali hesaplayınız.

A: We can substitute  cos(x) = t  To solve this.  Same solution is shown below

Q: e the substitution x = 3 sin t to evaluate the integral ſ V9 – x² dx. ote: Use C for an arbitrary…

A: Topic:- integration

Q: Q#5 Evaluate the integrals using the indicated substitution. i) i) iii) iv) S 2x(x² +1)23 dx; u = x?…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: dx x3∫?cos(t) dt evaluate the integral

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