X+2 √4x-x² 16. S dx

Q: 12. Evaluatesin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

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

Q: 5ñ Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=to x== 4 (A) 3.667…

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Q: 19. The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4…

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Q: If " (x+5) dx = 14, then the value of b is equal to A) None B 2 (C) 4 D -3 (E) 3

A: Given

Q: Find the cross product a x b. a = (7, 6, -5), b = (2, -1, 1) Verify that it is orthogonal to both a…

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Q: Question 18 Find - y dy (y + 2 A(√y+2-5) (5√/y+2+y+24)+C А Ⓡ(√y+2-5)(-5√/y+2+y+21)+C B Ⓒ(√3+2-5)…

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

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Q: QUESTION 16 y dy Find of- using the substitution +5= √√y+2 √y+2 ² (√√y+2-5) (-5√/y+2+y+21) + C…

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Q: If S A 2x²+x+1 (x-1)(x+1)(x-2) 11 3 -2 11 3 None 1 E - 3 C dx = А SA + B C + 1 + = -₂2]dx x+1 + dx,…

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

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Q: Determine whether the lines L₁ and L2 are parallel, skew, or intersecting. L₁: x = 6 + 4t, y = 8 -…

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Q: Exercises To Solve [NO.5] D "Cosx dx. Sinx+25inx+5 6 3 b

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Q: (D² + 4)y= 4 cot 2x

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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: The simple use integration

Q: = fx²coss x²cosx dx- use integration by parts. What is the expression after the second integration…

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

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Q: Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x. Determine the area of region…

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Q: [x²cos x²cosx dx, use integration by parts. What is the expression after the second integration by…

A: We will use integration by parts to solve this question.

Q: (в Suppose m and n are constants and m #n. Evaluate 1 (A) √ [n² m² -cos(m− n)x-- -cos(m+n)x] + C m+n…

A: To solve the given integral.

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

A: Please see the below picture for detailed solution.

Q: The integral x dx x² + √x² can be transformed to which of the following using trigonometric…

A: ∫xx2+x2-1-1dx=∫secθ.secθtanθsec2θ+sec2-1-1dθ=∫sec2θtanθsec2θ-1+sec2-1dθ=∫sec2θtanθtan2θ+tanθdθ=∫sec2…

Q: Question 3 1. Given the following data A₁=0 I₂ = 1 Fo=11 -4 I3 = 2 5 -1 0 Fill in the Newton divided…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: What is the solution to the following initial value problem? dy + 4x = 3 y(0) = 1 da Oy=-2x² + 3x -…

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Q: Question 14 Find the area bounded by the curve y = - -x 16 A 10 square units B) 4 square units C 8…

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Q: True/False 1) d[f(x) g(x)]/dx= f'(x)/g'(x) 2) d[f(x)]"/dx= n[f(x)] f'(x) and…

A: This question is based on diffrentiation and integration.

Q: 4. What is the value of f(1) - 16B in § x³ Inx dx = f(x) ( (1/4) Inx - B ) + C? A. 0 B. 1 C. 2 D. 3

A: We know that integration of xn is xn+1/n+1.   Here i attached the solution of this question.

Q: 4. f ta tan x sin xdx

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Q: Use the table to the right to find the given derivative. d xxx) 1x=5 (Simplify your answer.) |x=5 X…

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

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Q: 3 Find the area bounded by the curve y=-x3- 16 A) 8 square units (B) 10 square units C 4 square…

A: The region is bounded by the curves y=116x3-34x2+3x and the line y=x

Q: Л 5x Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=-tox= 4 4 A 1.414…

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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…

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Q: What is the value of f(1) - 16B in J x³ Inx dx = f(x) ((1/4) Inx-B) + C? (A) 1 B) 0 C 2 D) 3

A: Let's evaluate and then find value.

Q: s 3x5 3x4+6x³-3x2 - 6x Evaluate x²–2x Α) +In x² - 4x Ⓒ²-*** B + In 2 x²-2x-In x² - 4x 2 dx. using…

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Q: Evaluate (A) B ze Stan" (x) sec²x dx- D tan (+2)(x) +-tan" (x) + C tan (+3)(x) +tan (+1)(x) +C 1 1…

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

A: Please see the answer below

Q: Exercises To Solve [No.5] ⒸS dx (x-1) √X²2X-3

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Q: ·S- For x1/2 S- S. dx and using the substitution -du U 1-u² 4u -du 4u 4- (21²) ² U -du 1-u4 -du u=x…

A: We have to solve Integral

Q: S= Evaluate Ox² - 4x 2 Ox²–2x 2 O x² - 2x - In x² - 4x 2 3x5 3x4+6x + In 3x² - 6x - (x-1) 1/6(x+2)…

A: Explained below

Q: Let g(x) be the function 7x² - 6x + 6 . Then the quotient to ah + b. What are the values of a and b…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2=2y, the…

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Q: x2 £f* dx X A) True B False tan 1²d/= 2x tan.x²

A: We have to find derivative of given integral.

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

A: topic - integration by parts

Q: S (2 + x)dx √4-2x-x²

A: We can solve the integration as below.

Q: St. -4 16-x² A 4 (В 2 (C) 0 (D) None (Ε 8 00 dx is equal to

A: This is based on the definite integral.

Q: Suppose m and n are constants and m + n. Evaluate [sin (mx) cos(nx) dx- A) Ⓒ[-(-)-(+)₁]+€ m+ncos (m…

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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 0 2 0 3 01

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Q: Evaluation. Find the antiderivative of the following exponential expression. Show complete solution.…

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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: 2. Given u = 8i - j + 3k and v = 7j - 4k, compute each of the following. (a) -3v (b) 12u + v (c) ||…

A: In this question, we have given two vectors u and v. We want to compute the given expression.