1.1 the integral f cos(lnx) dx . x2 1.2 the integral S x³V1– 2x dx

Q: 2. xy dx dy

A: While integrating wrt 'x' we will keep 'y' as constant. While integrating wrt 'y' we will keep 'x'…

Q: 5). S 13+1)E dx (Improper Integral)

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Q: Solve four questions of the following DEs 1- xy dy + (x² + y² ) dx = 0 dx 2- 2- y = e*/2 dy 3- (х +…

A: Explanation of the solution is given below...

Q: 4. Evaluate the given integral. |(x + 1)(x – 3)| dx -2

A: Solution:Given∫-20(x+1)(x-3)dx =∫-20(x2-2x-3)dx= ∫-20(x2-2x-3)dx= x33-2x22-3x0-2=0--83-4+6=23

Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

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Q: Q1: A. Find of four of the following: dx 1. y = x sin-1 x +v1– x² 2. y = (x2 + 2x) tanh(x + 1) 3. y…

A: See the details solution in below

Q: 10. Evaluate the integral 1 2 S S xe® dx dy ху хе 0 -1

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Q: 1. Find the definite integrals of the following functions : (a) L. 4.x dx (h) dx ex +1 -2 0. (b) /…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

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: d/dx integral from e to x^3 ln(t^2+1)?

A: If Fx=∫b(x)axf(t)dtthen dFxdx=ddx∫b(x)axf(t)dt=faxa'x-fbxb'x

Q: 1. Evaluate the following integral: (1-e-²x) dx (a) analytically;

A: Note:- For this problem all the sub-parts  are different as methods are different. So, we can solve…

Q: 1: Evaluate the integral 3x - 1 (x + 4)(2x - 1) I -dx.

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Q: (4)Evaluate the definite integral (a)[ 1+sin x dx (b) | 2t + cost dt -7/2 5 x + dx (d)[ sec' 0 d0…

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Q: 2. (a) | +4 Evaluate the integral. √2x + 1 dx

A: Taking substitution as 2x+1 = t

Q: Q3 Find and show the work for (x+3)(3x+2) dx. (a) х (b) F (sin(2x) – cos x) dx. (c) S(3x² + 2x +…

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Q: 3. Find the indefinite integral: Sx(x-2)* dx

A: Please rate

Q: 3. Evaluate the integrals: S³r[cos(2x) – sin(3x)] dx С. 6 c1 dx d. Jo x2+1

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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: 4 dx Vx(1 + x) roper for two reasons: The interval [0, co) is infinite and the integrand h 4 4 dx =…

A: Here we use substitution so simplify the integration.

Q: 1.5 3-y Q1) Evaluate the integral dx dy

A: To evaluate the given integral.

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

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Q: 1. Evaluate S xe0.1% dx In x 2. Evaluate Sdx x3 3. Evaluate S x³(x² – 1)1°dx | 4. Evaluate (2 +…

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Q: 15+0. The improper integral e* dx is

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Q: 2. Evaluate the following integrals. 6 a) dx x² – 3x b) | 4.2? cos(x³ + 2) dæ 4x2 c) / 4x² ln x dx

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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: Find the complimentary function and particular integral for (D² – 5D+6)y = e2x cos(2x).

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Q: (d) Ln 8(t – 2) sin at dt (h) 0 ex-1) cos 4 (x – 5)8(2x – 3) dx

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Q: -1 2x Evaluate the integral dx = 0 x*+1

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Q: Question 3. Compute the following integrals. 3.1. S(4x2 – 1)'x dx - 3.2. Sx e5x dx 3.3. S x?cos xdx

A: 31) The given question is =∫(4x4-1)4xdx now first of all simplify the function. (4x4-1)4=(4x2-1)22…

Q: Q4: Solve the following integrals:- dx 4dx dx (1) S: (2) S sec xesin x (3) S x sec? x dx (4) S -…

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Q: d’y Find the particular integral solution of dx dy =x+3 cosx+e-*. dx

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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: 4 Find each of the following integrals: dx J (x² + 9)² a. 6 b. Cos x dx 15x2 – 14x – 13 dx - | C. 3x…

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Q: Question 2 Evaluate the following integrals using the appropriate rules of integration. 2.1 S(cos x…

A: (2.1) Given- ∫-π2π2cos x-1 dx To find- Evaluating the above integral using appropiate rules of…

Q: 1. Evaluate the integral: (a) cos(x) dx dy 4y

A: the given integral is: we have to evaluate the given integral.

Q: 1. Evaluate the given integral Q. √x²+1 (x - y² + 1) dy dx

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Q: on 1. Complete the following computation a' In(8x)dx via integration by parts f(x) = In(8x) and…

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Q: Q4: Find the integration for the following functions: - (answer three only) sin(lnx) dx 3-…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find . dy dx e 4x, = sin (x + 8y) %3D O In sin (x + 8y) 4e4x -1 S cos (x + Sv) S cos (x + Sv) 4ex -…

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Q: 1. Evaluate the integral. S. a) t sin3tdt b) / V1+a* dx

A: (a) Given: ∫0πt sin 3t dt Apply integration By part : ∫I.II dx=I∫II dx-∫ddxI∫II dxdx Take: I=t and…

Q: 1) Find dy/dx if: y = ln (tan¬'x) 2) Solve the following integral dx xV25x² – 2

A: Find the integration using substitution method

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: 4. Evaluate the following integrals: a) (e2x +5e-x)dx b) S(esecnx secпx sec Tx tan IX)dx c) Sin 16…

A: Evaluate: a∫e3x+5e-xdxb ∫esecπ xsecπ xtanπ xdxc ∫0ln16ex4 dx

Q: Q2/ Find dy/dx for the following functions: x4 In x - 16 1. у%3D (ln x)3 2. У 4 3. у %3D0 (sin (In6)…

A: y = (ln x)3 To find the derivative (dy/dx) or the given expression we will use chain rule. Chain…

Q: 1. Determine the following indefinite integrals: S (Ax-1 - Bx-3 + Vx") dx a) ez (wt) – cos(Ewt) )…

A: A=2.6, B=6.4, C=2.6, D=3.4, E=2.7 To find:-

Q: 22.9 Use numerical integration to evaluate the following: d.r Ca) (b) e- sin? y dy x(x +2)

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 4) Evalvate the integral E 4 1+x² dx

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Q: 9. Which of the following integrals can NOT be computed using the methods we have covered so far? a)…

A: We have to choose the integral which is not compute by simple integration method