QUESTION 12 x 1/2 ·S For S S- S- dx and using the substitution=x1/2, the resulting integral takes the form: 4u -du - (24²) ² 11 -du 411 -du "1 -du

Q: Exercises To Solve [No.5] dx зах 2 x²+2x+5 9x²-6x+5 of

A: "Since you have posted a multiple question. We will solve the first question for you. If you want…

Q: dx The integral S- can be transformed to which of the following when trigonometric substitution is…

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Q: Evaluate A B Stan" (x) m+1 D "(x) sec4x dx. tan (+1)(x) +tan (-1)(x) + C m-1 tan (+1)(x)-tan (-1)(x)…

A: topic- indefinite integral

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Evaluate only four integrals of the following integrals: 1/4 1 dx (i) dx (ii) J √1-9x² sin (3x) 0…

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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C?

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Q: The integral I com S f se fse x dx x² + √√√x²-1. cose de 1-sin sinᎾ dᎾ 1+ cose sec²0 de 1+ tane sece…

A: Substitute x= secθ and solve . dsecθdθ = sec(θ) tan(θ).

Q: QUESTION 5 Evaluate Sun"(x) seets de tan' ₁ (m + 2)(x) + tan m 1 -tan (m+3)(x) + · m+1 -tan…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Suppose m and n are constants and m‡ n. 1. Evaluate sin(mx) cos(nx) dx

A: using trigonometric identity

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: The problem is to find volume of solid generated by curves revolving about a line using disk method.…

Q: e /// 2 Evaluate 2xz dV where E {(x, y, z) |1 ≤ x ≤ 4, r ≤ y ≤ 2r, 0 <z<x+3y}

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Q: ·S- For x 1/2 dx and using the substitution=x1/2, the resulting integral takes t U -du 1-u² 4u 4-4²…

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Q: Question 9 The integral - dx (x²+4)² can be transformed to which of the following when trigonometric…

A: The given  integral can be transformed to which of the following when trigonometric substitution…

Q: dx The integral can be transformed to which of the following when trigonometric substitution is…

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Q: Evaluate A B fsir sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression…

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Q: Find the equation of the tangent line to the curvey = √2-4 at the point (5, 1). Oy=2-1 Oy= 22-2 Ov=z…

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Q: Find the equation of the tangent line to the graph of the given function at the given value of x.…

A: Solved below.

Q: 1

A: We will solve the problem.

Q: Consideri x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 3/8 1/4…

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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 02 0

A: Correct answer is 0.

Q: To evaluate A B [x²cc x²cosx dx use integration by parts. What is the expression after the second…

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Q: Tercises To Solve [No.5]

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Q: 28. 5x1 +4x2 2x1 2x1x2 - 2x3 = 4 + 3x3 = 2 + x3 = 1

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Q: Find the area bounded by the curve 16 square units 10 square units 4 square units 8 square units 16…

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Q: Consider S integral can be written as of A, B, and C. 6 O 5 14/3 O 17/6 3x5 3x4+6x3-3x2 - 6x √(x-1…

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Q: Evaluate A B D Stan" (x) sec¹x dx. 1 (m+1 ¹) (x) + m+1 1 )(x) + m+3 2) (x) + m+2 -¹)(x) – m+1 tan…

A: We will evaluate the given integral by using substitution method as shown below

Q: The Intermediate Value Theorem can be used to prove that the equation 2²-2-15-0 has at least one…

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Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

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Q: What is the value of f(1) - 168 in x3 Inx dx = f(x) ((1/4) Inx - B) + C? 02 8 8 0 3 1

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Q: Question 2. Find the limit, if it exists, or show that the limit does not exist. (a) 4xy (2,3)—(0,0)…

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Q: fe²x+lnx² sin x² dx = 25-410-312-2 2M 12 e2x cos x² dx

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Q: dx 3-2x-x2

A: Since, the student has posted multiple questions and mentioned to solve no. 5 but there is no no. 5…

Q: π 5π Find the area bounded by the trigonometric curves y=sinx and y=cosx from x= —to x = 4 1.414…

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Q: Exercises To Solve [No.5] 05² dx 3dx x²+²x+5 9x²6x+5

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Q: Suppose m and n are constants and m #n. Evaluate I sin O 1 1 -cos(m-n)x- - cos(m+n)x+ C n-m m+n 1 1…

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Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² The…

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Q: What is the value of 1)- 168 in x² Inx dir = f(x) ( (1/4) Inx-8) + C? 03

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Q: Find y dy √y+2 using the substitution u +5=√√y+2.

A: Follow the procedure given below.

Q: Suppose m and n are constants and m‡n- Evaluate sin(mx) cos(nx) dx* 1 1 2n-m 1 -cos(m-n)x- +COS (m…

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Q: Question 5 The integral - (Α S se ® / B Ⓒ / - (D x dx x²+√√√x²-1-1 *sec²0 de 1+tano sece tane de…

A: We have to find out

Q: y dy Find ·S= √y+2 0²/(√y+2-5)(-5√/y+2+y+21)+C 3 03 (√y+2-3) (5√/y+2+y+24) +C 3…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

A:

Q: Find the value of that will make the function ƒ(z) continuous everywhere. f(x) = 4z + k, -5 0 =…

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Q: ·S- y dy Find using the substitution u +5=√√y+2. √√y+2 ²² (√y+2-5) (5√/y+2+y+24) + C (√√y+2-5)…

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Q: S- For x 1/2 U 4u U dx and using the substitution -du -du -du 4u 4- (21²) ² -du u=x1/2, the…

A: The objective is to find the correct option.

Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1…

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Q: Evaluate Stan" (x) sec¹x dx. 1 A 1 -tan (m+3)(x) + m+3 m+1 1 tan (+2)(x) +-tan" (x) + C m+2 m 1 tan…

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Q: ate sin (Inx) dx Integration by parts will be used repeatedly. What is the expression after the…

A: We have to evaluate integral

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We have to use simple logic to solve the problem