Q2/ Find the solutions of the following integrals (Choose one only) 1) rCos20dv 2) JA S S Cosedv

Q: 2t – 1 dt 3 t+t3

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

Q: 4 dr. 162? — 16х +13 Use the Table of Integrals in the back of your textbook to evaluate Perform the…

A: Indefinite Integration

Q: Evaluate the integrals

A: We separate the integral first.

Q: Evaluate the integrals ∫√t sin (2t3/2) dt

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Q: If p(v)dv - 7 11 and p(v)dv = 6.1 what does the following integral equal? | p(v)dv %3D - 7

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Q: The particular Integral for (D² + 19²)y = sin19z is Yp 38 O Yp 19 O None O Yp Zacon19z 38

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Q: (xt2) (x+2), x+1dx

A: Consider the integrals: ∫x+2x+1  dx…

Q: O Set steneted integrals for where Do not evaluete 5

A: Here, the objective is to set up the limit for the given integral.

Q: Evaluate the integrals

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Q: 2х + 1 2x3 – x²

A: ∫2x+12x3-x2dx

Q: S²₁₂ So 1-y² √x² + y² √x²+y² xyzdzdxdy

A: We know that integration power rule is - Integration of xn is xn+1/n+1 +C . Here C is integral…

Q: The integral can be rewritten as 6u³ (a). Joudu u+1 6u4 (c). du u²+1 ܐ | dx √x+√x (b). Sū 6u² u²+1…

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Q: Evaluate the integral. 2 A + 5v7 v3 dv

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Q: The integral can be rewritten as (a). 6 6u³ du u+1 6u4 (c). √ ₁²+1² -du dx ³√x + √x √ (b). Sū 6u² u²…

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Q: The value of the triple integral 0. 0. is

A: Evaluate:

Q: SVEsin(1+ VF )dz 4 Vz sin .3

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Q: 1= [3y/7-3y° dy

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Q: Use properties of integrals to evaluate 3 (2æ²) dæ, if j 3 (2a²) 2 j (2*) dæ = *. -2

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Q: - (In /3) /4 4 e4x dx 1 + e8x

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Q: evaluate the integral; ∫ [5,1] t/1+t^2 dt

A: We have to find the value of given definite integral. To find that we use integration by…

Q: Use the fact that 1 +C 2e2 to either evaluate the improper integral -dr, or show that it diverges.

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Q: Find the integral 1 dt 4t2 + 4t + 5

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Q: (у+10)dy у3+2у2-5у-6

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Q: Evaluate the integral da (7x + 10)2" by making the appropriate substitution: u = dx (7x + 10)

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Q: If 3 p(z)dz: -7 and Lple)dz = 4.7 what does the following integral equal? - 1 |. p(2)dz = -7

A: The objective is to evaluate the given integral.

Q: by taking |In x · dx: solution of the integral with Simpson's 1/3 method Inx n = 2 which one? 1

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Q: Evaluate the integrals

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Q: If q(s)ds = 16 and q(s)ds = 6.6 what does the following integral equal? | q(s)ds -

A: ∫-64q(s)ds=16⇒  q(4)-q(-6)=16        (1)∫14q(s)ds=6.6 ⇒ q(4)-q(1)=6.6         (2)subtract equation…

Q: If 3 h(t)dt = 5 5 and .3 h(t)dt = 7.3 what does the following integral equal? h(t)dt =

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Q: Evaluate the integrals "m/4 tan → 53. yeon sin t dt sec² t dt 54. x^(1 + Inx) dx alnx - dx 55. 56.

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Q: Evaluate the integrals

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Q: 1 V3 - 4zdz

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Q: 2- Find the the integrals: /3 – 2s ds ds V5s + 4 Sovi 9Vī – 0² d® 3yVT- 3y° dy

A: Recall: ∫xn dx=xn+1n+1+C ∫ax+bn dx=1a(ax+b)n+1n+1+C ; where C is an integration constant.

Q: 4. Evaluate the integral. (a) (2r-4r + VE) dz + 4x) dr

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Q: 24 S2−3x√1 + y² dydx 0

A: To solve the following iterated integral.∫02∫x24-3x1+y2 dy dx

Q: 20 + S 2c + 5 こ

A:

Q: The solution of integral Vu2 + u +1 du is:

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Q: Evaluate the integrals in do 4dx 14 -x² 19 9 S3 dx リー4(X-リ2 (55

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Q: Use the Addition Property for integrals and the results of Section 5.2 to find values for r and s.…

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Q: If | h(2)dz = 4 and | h(2)dz = 9.1 %3| 1 what does the following integral equal? |h(2)dz = 4

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Q: d) Prove the results of the integrals 3 dx = 2+ In (2)– 4 [In (5)– In (3)]. x² +3x +2

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Q: Compute the following Gaussian integrals. 1. xte-aa2 dx 8. 2. xe-ax dr

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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: What is the integral of (3t – 1)^3 dt

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: THIS BE SOLVED ANALYTICALLY? SO, HOW? (a=0.75 STILL) dy=ay (1-2y). 6y³ - dt 4y³+5 SET UP THE…

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

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

Q: Evaluate the integral /_s 10+2z dz. 24 00 1,

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Q: Evaluate the integral 22 V4 – 22 dz 0.

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Q: The integral can be rewritten as 6u³ (a). [√ 小 1+1 6u4 (c). Su u² + 1 - du du dx √x + √x S 6u² u² +…

A: Given:       ∫dxx3+x     Prepare for substitution:        =∫16x56·6xx6+1dx  substitute…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: