#10: By making an appropriate substitution, which of the following integrals is equal to | tan'(x) sec (x) dk ? (A) [1 (1 - t° du (B) [u2 – 1° 1° du (C) fu (1 – u)° du (D) f (u + 1 u du (E) fu (1 + u du (F) (u - 1) u° du (G) [ (a2 + 1)° 1° du (H) [ (1 + 1* du m #10: Select v

Q: Q4) Solve the integral by Simpson's rule x3 cos2x dx, h 0.2

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Q: Find: 1. integral  ∫cos(lnx)/x2 2. integral ∫x3√1 − 2x dx 3. the average valueof…

A: 1. integral  ∫cos(lnx)/x2 2. integral ∫x3√1 − 2x dx 3. the average valueof f(x)=2−6cos(0.09(x−π)) on…

Q: 1 In solving the antiderivative of f(x) = 2- sin(x) by miscellaneous substitution, the substitution…

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Q: 2. Calculate the following integral: dx (a) sinh? x – 4 sinh x cosh x + 9 cosh² x +*) u (1– x²)² x…

A: 2) a)

Q: In this problem, you are asked to carefully read Example 6.4.2 of APEX Calculus. 1 The given…

A: An integral is given by, ∫15+x2dx. The objective is to find the correct substitution which is to be…

Q: x³ + 6x² + x +2 fx-1 ax + In{(x + 1)*(x² – x + 1)| +- 2 Tan Ve The resulting integral of -1 + C,…

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Q: -3.5 x/(16 – x²)3 dx 0.5 Find the numerical value of the integral using: a.) Trapezoidal Rule (n =…

A: Given: ∫3.50.5x16-x23dx To find: Numerical value using trapezoidal rule.

Q: Q: Find the integration for the following functions: - 1.- °(1-cos2x) 2-5 2- sin(tnx) dx 3-f-…

A: According to the guidelines issued by the company we are supposed to answer only first three sub…

Q: 17. Evaluate the indefinite integrals. a) sin x cos x dx x +4 b) S dx (x2 + 8x- 7)2 c) S sin x dx…

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Q: 1. In this problem, we will consider two methods that will allow us to evaluate integrals of the…

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Q: 7. Determine the following antiderivatives. cos (x), dx b. dx sin(x) a. sin(x)cos(x) dx d с. tan )dx…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

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: 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: : cos'x dx to Which of the following is one of the correct steps to evaluate obtain the desired…

A: Here, we have given an indefinite integral in which  we have to integrate a trigonometric function.…

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: Given dy – sin(x))dx + cos(x)dy, where C is the triangle with vertices (0, 0), (1/2, 0), and (t/2,…

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Q: 4x the integral that gives the length of the curve y = f(x) = | sint dt on the interval [0,1]. 4x se…

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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: (17) Given the following standard integrals 1 = arccosS + C /2ах — 2? a - and V2ax – x2 + C, 1 | dx…

A: Given data:   The first given integral is ∫12ax-x2dx=arccosa-xa+C. The second given integral is…

Q: 4 Evaluate the follwoing integrals. Show your work and state any appropriate methods you use. (a) 10…

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Q: !!! 6 cos (x2) Evaluate the integral -dx dy dz by changing the order of integration in an…

A: Triple integral

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: 2. Find the indefinite integral: S (Vã+ - x + - 1) dx 6 .3 X X

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Q: 15. Evaluate the given integral, V4 – 9x² dx: arc sin () A. x V4-9x2 2 arc sin () x V4–9x² В. + c 2…

A: Giiven: To evaluate the integral∫4-9x2 dxFormula: ∫a2-x2 dx=x2a2-x2+a22 sin-1xa+c

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: Q1: Evaluate the following Integration: a) ( In(x²+x)-Inx-en3 dx b) S; sinx Ine(x+1) 1-cos²x

A: Answer (a): To evaluate this integral, apply the logarithmic properties : And, And, And, And,…

Q: 12 »4 Evaluate the integral dx dy by reversing the order of integration. NOTE: Enter the exact…

A: Given:    Double Intergral is given

Q: 9. Determine the following antiderivatives: sec?(x) -dx- tan(x) 6. 4x (2x² + 3)°dx а. b. - sin(2x)…

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Q: Evaluate the Integral dx – (**V2Tan-1x-(Tan-1x)2 1-х4 '2Tan-1x-(Тап-1x)2 3. S х?/2Tап-1x- (Тап-1x)2…

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Q: Sin (x-t) u(t) dt = 1- Cos x

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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: 4. Use residues to evaluate the improper integral 1t r4 a + x2 dx; where a is a real constant.

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Q: 1 The improper integral -dx is given by: x² +8x+41 Select one: O a. None of these sec-'((b+4)/5) de…

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Q: The coefficient of sin(x) in the antiderivative of F(x) =| cos 2 %3D

A: Given: F(x)=cosx26

Q: 7. Find the indefinite integral. (a) + sec , | dx = 4 In |x| + tan(x) +C (b) / )Lanr dx = In |In x|…

A: Given that: (a)∫4x+sec2xdx(b)∫1xlnxdx(c)∫x4-3x2+5x4dx

Q: 1 2. Evaluate the integral using integration by parts. Hints: LIATE, 은(cos-1(x)) : dx 1-x² cos-(x)…

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Q: 13. Find the integral using the u substitution method Jx(x+1)*dx

A: Solution of question as follow

Q: 2. Using an appropriate method, compute the following integrals. dx x² + 3x + 2 (i) sin³x cos*x dx…

A: (i)

Q: QUESTION 12 Evaluate the integral by changing the order of integration in an appropriate way. x sin…

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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: Evaluate the integral (i) S3x3 sin 4x dx (ii) ſ In (x³ + x) dx (ii) cot-1 2x dx (iv) ſeax cos bx dx

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Q: 1 Question: (1+x²) dx Obtain the numerical solution of the integral with n=5 by dividing the x-axis…

A: Given integral is ∫1211+x2dx. a We have to estimate the given integral by using Trapezoidal rule.…

Q: 1. Evaluate the trigonometric integral. (1) [20sin² (2x)cos (2x)dx (ii) S4ta dt

A: Given integral is: I=∫20sin22xcos22xdx To solve this integral we will use the following…

Q: Step 2 1 To find the integral S H x cos 8x dx by the parts formula, use u = x and v = Apply the rule…

A: This is a problem related to integration. Based on the general formula of integral by parts we will…

Q: Find the indefinite integral. (a) / (2* + v#)dx (c) / 2x6 + x5 -dx x4 (4) [(4cs (xỉ + 5x + 4)dx (4…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: (b) Approximate the definite integral f"/² cos(x)dx by employing the Composed Midpoint rule with n =…

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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: Q5. Approximate the integral Sin(2x)dx (i) Using composite Sympson's rule with n = 2,4 and

A: As per the policy of bartleby the provisions is to solve only one question at a time so I am solving…

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

A: We have to find the double integral

Q: A Moving to another question will save this response. estion 9 Match the given integrals with the…

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