Q 2. Evaluate the following integrals S(1) = [ (3r° +1)8(1 +4) di 1.

Q: Q3/ Evaluate four of the following integrals. ( x³+1 sinx cosx dx b. f*+¹ dx c a. S √1+cos2x x²

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Q: I. Evaluate the following integral: 1. S dx 3 2х+7 2. S y²e2-2y* dy 3. S sec? (4 – 3x)dx

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Q: ex dx Q1 - Evaluate the following integral : S e2X+ex+1

A: Please refer the attached image for complete solution.

Q: Q.1- Evaluate the following integrals (answer two only) a -1° V√x - √x₁ dx 0

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Q: Q2 (a) Calculate each of the following integrals. sin 3 0 cos'e 1 S sin x(cosx)4 dx

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Q: 9. Evaluate the following integrals (a) L 8(t + 3)e-'dt (c)[[8(t)cost + 8(t – 1)sintdt] - 00 -5 (b)…

A: Formula: Shifting property of Dirac delta function is given by, ∫-∞∞f(t)δ(t-a)=f(a) Given:…

Q: 12. Evaluate the following integrals. a. S (9t+ 415) dt b. Se-4* dx **3** dx d. f(x-1- x + 4t3…

A: Note: Since you have posted multiple sub-parts we will solve only first three for you. If you want…

Q: For x 1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: 4u -du 4-u U…

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Q: Q2/ Find the value of the following integrals: 1- |((x+y)dx + (y – x)dy), when cis given by, x = cos…

A: The integrals in the form ∫C(x+y)dx+(y-x)dy involve the integration over a particular curve C. In…

Q: II. Evaluate the following integrals: 6. 1 x te dx 5. ST + dy √y.e√ 7. jet dx ·et +ex et - e 8. s dx

A: To evaluate the given integrals.

Q: Q4: Solve the following integrals:- dx 4dx (1) f 2+cos x (2) J sec xesin x (3) Sx sec? x dx dx (4) )…

A: Indefinite Integration

Q: Q2/ Find the value of the following integrals: 1- |((x+ y)dx +(y-x)dy), when c is given by, x = cos…

A: We have to evaluate the integral is ∫cx+ydx+y−xdy. where c is given by x=cosθ, y=sinθ and 0≤θ≤2π.…

Q: Q₁: Evaluat the integral:- 플 S S. sec (cosx) dx dy Sin y

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Q: 4 S* (2x -6)° dx= S f(uldu where du = a 6 = f(u)= The valve of the original integral is

A: We have to solve the given integration

Q: Q3: Find the integral for the following functions: - 1 dx 1)S- Vx2-2x+1 2) S 3cotx csc² (x)dx 3)…

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

Q: The improper integral (A) e B) © ⒸO D 1 8 Stoe ex dx is

A: Given that,

Q: Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 eCos-1x 5. S V1-x2 6. Se…

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Q: Find the integral |(2 + 1)e* dz. (z + 1)e²² dz +C

A: solution is given below integration by parts...

Q: Q1) A-Evaluate the following integrals: 1) S (cos x / sin? x) dx. 2) S (2x+4)/3 dx, use x-0 to x-2.…

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Q: 2. Evaluate the following integrals a)S3z dx 314r b) S dt

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Q: 1) Find the following integrals: b) S 6* dx c) S 2x(1+x²)³ dx

A: Given that  The integrals  To evaluate the given integrals

Q: 3 I [(e* +x² + A\dx Дх 3 0,25 1

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Q: S B+1F dx (Improper Integral) (3x+1)?

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Q: Find the approximations   T 8  and    M 8    for the integral integral 0 to 1 cos (x 2   ) dx

A: Given ∫01cos(x2)dx

Q: 1. Evaluate the following using integration by parts. Show all necessary solutions. (b (e) / re* (d)…

A: As per the guidelines we can solve 1 question only.

Q: 1. Evaluate the following integrals. ? cos(r) dt а. Зx2 — 1 dx b.

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Q: I. Solve the following integrals using Algebraic Substitution 1. ſ 2. S -1dx dy y+4-2

A: ∫un du = un+1n+1+C ∫1au+b du =1alnau+b+C ∫1u2+1du = tan-1u+C

Q: 3 (e* + a² + 2) dæ x Calculate the integral with the Trapezoidal method. Take n = 8 (A =x 0.25) for…

A: See the attachment

Q: Q. No.5 Compute the integrals: a) S* 4 sin* x cos?dx b) , cos 2y sin 5y dy

A: Given:  5. a) ∫0π4sin4x cos2x dx b) ∫-π0cos2y sin5y dy

Q: Q4: Solve the following integrals:- dx (1) ſ; 4dx (2) S; (3) ſ x sec² x dx 2+cos x sec xesin x

A: Since you have posted multiple subparts question in this question so i have solved first three parts…

Q: Q1) A-Evaluate the following integrals: 1) S (cos x/ sin? x) dx. 2) S (2x+4)1/3 dx, use x-0 to x=2.…

A: We have to evaluate the given integration.

Q: Q2: Evaluate of the following integrals: 4. S sin xcos dx 5. Sxe*dx

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Q: 7. Evaluate the following integrals. 5 a) e dr -5 .2 b) (y – 1)(2y + 1) dy

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Q: 1- xy dy = 0. 1+ xy

A: 1+xyx2y.dx+1-xyxy2.dy=0 (Now multiply both sides by (x2y2) ): y1+xy.dx+x1-xy.dy=0 or,…

Q: 1. Evaluate the given integral Q. /9-y² Q 3r (2x - 2) dz dy dx

A: Note: As you asked solution for only Number (1) so, I answered here only Question (1).

Q: 2. Evaluate the following integrals. (b) § S, sin y² dy dx

A: Solution

Q: 1 dx. Evaluate the improper integral 2 e x(Inx)*

A: We have to evaluate the improper integral.

Q: Calculate the following integral: 4 I V16 - x dx .2 0.

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Q: Q4: Find the value of integral 1 1 1. 1+x4 1 V1–x²dx 1 cos(x + 1) dx 2. 3.

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Q: n/4 3x Approximate the integral e "sin(2x)dx using both Simpson's rules with n = п/12

A: Given: I=∫0π4e3xsin2xdxn=π12

Q: Q.1) Evaluate the following integral dx (2e2 - 4ez – 1) |

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Q: Q2: Evaluate the following integrals? 1) [ cos¹x dx 2x dx 2) S (x-2)² (x+2) 3) S: dx

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Q: 1. Evaluate the given integral Q. Q - CC² LL- (x - y) dx dy y²

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Q: •3y 4 1. Evaluate the integral , S" 3 + x² + dxdy

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Q: 5. Evaluate the indefinite or definite integrals: 1 arctan y e а) dy 2 1+ y 1 b) [ dx (Use Trig Sub)…

A: According to the question answer guideline the expert suppose to answer the first three subparts of…

Q: (i) Use the successive substitions method to solve the following Fredholm integral equation. (05)…

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Q: 1 (a) for e³x+4 dx Evaluate the following integrals using an appropriate method: (b) √ (3a² +…

A: Given,∫01e3x+4dxLetI=∫01e3x+4dxPut 3x+4=uDifferentiate3dx=dudx=du3As x→0 then u→4As x→1 then…

Q: H.W 7.2 Compute the following integrals: e+? + 1 + 4) x 1. 2x dx ex? + 4x² + x

A: We use substitution method

Q: Q2/ Find the value of the following integrals: 1- [(* |(x+ y)dx + (y - x)dy), when c is given by, x…

A: The line integral ∫CF1dx+F2dy involves the integration over a specific path. In this problem, we…

Q: Find the exact value of the integral. Question 1 4 V2 + x'dx dy

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