4. Solve the following integrals using the substitution method. (a) sin x cos* x dx (b) Jesin z cos x dx (c) -dx

Q: 1.Solve the following integrals: 1 = V36x dx 12 = " Sin (x)dx dx 13 = dx/x dx 14 = Si 1) 15 =f, 2 •…

A: This is multipart 1uestion having 5 x 4 = 20 subparts. As per company policy, we will solve the…

Q: The following integrals a and b are respectively, 2 and 13.6 by that, n = 5 by the trapezoidal…

A: Given: ∫abf(x)dx f(x)=1(1+sin x)2 a=2 b=13.6= 685 n=5

Q: 3. Find each of the following integrals using any suitable techniques : sin 2x dx cos4 2.x (c)

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Q: Solve the following integral using substitution method: X S. dx √x²-1

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Q: Evaluate the following integrals: 1.5 cos'x dx sin³x sec*x dx tan³x 2. 3. sin?x cos?x dx 4. cos (3x)…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Evaluate the following integrals: 2. Inx de sin 3x 3. dx 1-cos 3x 4. S 32* dx 5. S(e* + 1)°e*dx 6.…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Q2: Solve the following integrals: ..... (2) ix-cos²x sin³x cos³ T dx; (3) dx (4) fxe dx

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Q: 1. Evaluate the following multiple integrals: 2 252 cos y dædy

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

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Q: Determine the following integrals: 1.1 G 3x³ +8 X dx 1.2 G 1.3 4x+6 dx x + 3x-10 sec² (sin 5x)cos 5x…

A: We have to find out solution

Q: [sin(In x)+cos(In x)]¯ dx

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

A: Note:-  As per our guidelines, we can answer the first three sub-parts of this problem. For the…

Q: 1. Which of the following integrals is a candidate for the Substitution Method? | 5x* sin(x*)dx sin'…

A:

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: Q7. Solve the following improper integrals: 2x 00 dx (i) (ii) x* +1 (x² +1)2

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Q: Q1 - Find the reduction formula for each of the following integrals iv. In = S sinh"x dx

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Q: Solve the following integrals: 1. f-7e*dx 2. (2ex-6x) dx √(3¹) dx 3. 4. f 8x+1dx 5. f=dx X 6.…

A:

Q: 1. Evaluate the following integrals. sin x – 2x3 1+ 2x dx (b) 3+ x x3 + x dx (10 cos x + 5x4)5

A: to find the following integrals

Q: Q1: Evaluate the following integrals by using a substitution to reduce it to sec X dx 1 standard…

A: We have to use substitution method.

Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) dx ; (2) S sin x+cos x sin³ x cos³ x…

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Q: -aluate the following integral cln 2 cosh x UTM =dx. sinh? x + 4 sinh x + 2

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Q: Solve the following improper integrals DI d √x dx

A: Given improper integral  ∫0∞1xdx

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

A:

Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) dx ; (2) f sin x+cos x dx sin³ x…

A: We will use partial fraction to solve the first part of the question.

Q: 1. Evaluate the following integrals: '1 36" dx 6* + 3 (a) cosh x + ecotha sinh? x sinh x - (b) dx 4…

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Q: Solve the following integrals completely and honestly. Show your solution in ink and as neatly as…

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Q: Find the following integrals a)  ∫ x3/1+x4 dx d)  ∫ ex/ 1+e2x dx c)  ∫30 | x2 -4| dx  d) ∫1 -1…

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Q: Evaluate the following integral.

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Q: 3. a. b. Evaluate the following integrals 2dx dx cos²x√4 tanx - tan² x sin(√x)dx J I sin

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Q: Evaluate the following integrals: a) sin^4 (2x) cos^7 (2x) dx b) t sin^4 (t^2) dt c) tan^3 (x) dx d)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 3. Evaluate (using appropriate substitutions if necessary) the following definite Integrals. (a) ,…

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Q: Evaluate the following integral.

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Q: Q4: Solve the following integrals:- (1) S x3-2x2 dx (2) √ √² √9-x² (3) [ xả sin xdx (cos-¹4x)…

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Q: 1. Set up the following improper integrals by definition. sin(x) xe-x³ dx dx 2? — Зх — 4 а. с. 7 et…

A: Solution b: Given integration is ∫17exx-1dx Here 1 is the only point of infinite discontinuity So we…

Q: Solve the following integral: 1 yz²e²-y²-=*dx dy dz

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Q: Solve the following integral by using the Tabular Method. (a) x² cos 4x dx (b) sin 3x cos 4x dx 2.

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Q: 02: Evaluate the following integrals: secxdx 1. S- VIn(secx+tanx) 3. VInn 2xex² cos(e**) dx

A: Use the substitution method to solve these problems.

Q: 4. Evaluate the following integrals: a) (22x +5e-*)dx b) S(esecnx sec Tx tan x)dx -In 16 e*/4

A: # we are entitled to solve one question at a time  please resubmit the other questions if you wish…

Q: 9. Calculate the following definite integrals by hand. (a) x² + 4x dx (b) cos(x) dx (c) o JE 3 dx

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Q: Evaluate the following integral. π/4 1 π/2 SS sin Tx cos y sin 4z dy dx dz 0 0 0

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Q: 2.2 Evaluate following integrals. .sin VT cos E 2.2.1 dx

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Q: solve the following integrals:- dx |1-x² (1) J (2) Sx sinždx (3fdr (++x^)x^

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Q: 1. Evaluate the following integrals. 3r5 (a) / dr V2 – x3 2" + e2" sin(2") sin(2=) dx 2x +3 (c) / dx…

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Q: Q2: Solve the following integrals: (1) 7x²+14x+15 (x²+3)(x+7) dx ; (2) sinx+cos x sin³ x cos³ x

A: Since multiple questions are asked, I am answering first question

Q: 5. Calculate the following integrals. (a) / (b) / (c) / sin x cos x dx x sin(x? + 5) dx 3 el/x dx x2…

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Q: 1. S'sin S sin? (2x) cos (2x)dx ,3 COS

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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