To evaluate te use integration by parts. What is the expression after the second integration by parts? x²cosx dx' x-sinx + 2x cost – 2 -2 f sinx sinx dx + C x-sinx – 2x cost –2 C x-sinx – 2x cosx+2 2 f cosx dx + +2 f cosx dx + C -2 f cosx dx + C x-sinx + 2x cost - 2

Q: y dy Vy+2 (√3+2-5) (5√3+2+7+21)+C (√3+2-5) (5√3+2-1+24) +C 3 Ⓒ(√3+2-5) (5√3+2+3y+24)+C…

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

Q: uppose m and n are constants and m #n. Evaluatesin (mx) cos(nx) dx O -sin(m− n)x+ - _____ m+n…

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Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² z…

A: We have to find out the substitution

Q: (C) Find dx (i) y= for the following functions : 3x 2x-1 2x+1 (ii) y=sec(sec ¹5x)+e5lmx +4

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Q: The integral B D x dx can be transformed to which of the following using trigonometric substitution?…

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

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Q: S sec²0 do 1+tano seco tane de seco - 1 The integral O 1: S S x dx x²+√√√x²-1-1 coso do 1-sino sino…

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Q: WAN 1 2 3 4 The graphs of 4 functions are shown above, and the graphs of the derivatives of those…

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Q: y dy Find S- y+2 A ²/(√x+2-5)(-5√/y+2+y+21)+C ℗ ²/(√3+2-5) (5√/y+2-y+24) + C B Ⓒ(√x+2-5)…

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

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: QUESTION 13 Find the area bounded by the trigonometric curves 3.667 square units 1.414 square units…

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Q: x1/2 S dx and using the substitution = x 1/2, the resulting integral takes the form: x-x³ U A / du U…

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Q: 1.₂0 +00 1 2. Determine whether the integral da converges or rvin x diverges. If it converges,…

A: We have to find out integral

Q: What is the value of f(1) - 16B in I x³ Inx dx = f(x) ( (1/4) Inx - B) + C? 01 3 00 02

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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: 3. Evaluate the following integral by using the polar coordinates. £²₁, [x²=²²* (x² + y²)³¹ dy dx.

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Q: S egral dx (x²+4)² can be transfa

A: Answer is option-(d).   Using basic equations of trigonometry and substitution we got the answer as…

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

A: Here is the solution of the given problem. We use here Washer Method

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

A: using trigonometric identity

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

A: Please follow the next steps.

Q: Find an equation of the tangent line to the given curve at the specified point. = (1, e) X y =

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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 1/4…

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

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

A: Follow the procedure given below.

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

A: We have to find out value

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: 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

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

A: We have to find ∫sinln(x) dxWe will apply formula for integration by parts.We know, ∫uv dx…

Q: Suppose m and n are constants and 1 1 —sin(m− n)x+ - -sin(m+n)x+C 2 m-n m+n 1 = cos(m− n)x - 1…

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Q: dy dx ³-√√3x² 2 √5x

A: We will solve the problem

Q: Find the area bounded by the curve y= 16 (A) 8 square units (B) 4 square units (C) 10 square units…

A: To find out the bounded area by the curves.

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: QUESTION 12 Evaluate Stan" (x) sec¹x dx 1 -tan (m + 1)(x) + m-1 -tan (m + 1)(x) - — ¹ m-1 -tan (m +…

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Q: Use Euler's method to solve the following ODES wwwwwwww dy dx = -2y + 4e¯*, with h = 0.18 from x = 0…

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Q: Question 11 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

A: Explained below

Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx 1 Ⓒ[con(-)x-cos(m + n)x] + C B −…

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Q: The integral [₁ face 8 dx S can be transformed to which of the following when trigonometric…

A: We have to solve above integral

Q: Evaluate 1 m+2 tan" (x) sec4x dx n (m + 2)(x) + — tan" (x) + C tan m 1 -tan (m+3)(x). ī -tan…

A: Solution is here

Q: a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of…

A: As per the guidelines we can solve 3 parts only

Q: 154. Use the Fundamental Theorem of Calculus, Part 1, to find sin x d dx √1-t²dt.

A: Topic = Derivative

Q: 2 J xe9x da 0

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: x dx x² + √√x²-1-1 The integral - (A) cose de can be transformed to which of the following using…

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Q: What is the value of f(1) - 16B in ∫ x3 lnx dx = f(x) ( (1/4) lnx - B ) + C?

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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: dy 5.) dx -2x +y = ye +y = ye (ye*) ³ 1 е : ²³-7e²ce Ans: y³ 3X ce ³2

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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…

A: The full solution of the question is given below:

Q: 172. Evaluate the definite integral using the Fundamental Theorem of Calculus, Part 2. 3 La+…

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Q: Consider S x-m+ (A) 6 B) 5 3x5 3x4+6x³3x² - 6x A B C + + x-1 x+1 x+m 17/6 (D) 14/3 -dx. Using the…

A: Here is the solution of the given problem. Method of Partial Decomposition

Q: Find the equation of the following lines in the form specified in bold. a) A vector equation of a…

A: As per our guidelines we are supposed to answer only one question i.e. question no (a). For the…

Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…