15х2 — х3— 43х - 19 The integral | can be rewritten as (x + 1)²(x² – 6x + 13) Ах + B C D lax² + bx + c (mx + n)t' rx + s] C What is the value of ? (тx + п)*

Q: local

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Q: Vx² + 4x – 5 ,2 using Trigonometric Substitution find x Consider X+2 O -2 +3 sec 0 O3 sec e O -2+…

A: Here, the given integral is: ∫14x2+4x-5x+2dx=∫14x2+4x+4-9x+2dx=∫14(x+2)2-9x+2dx

Q: 2x How many times will you use integration by parts in solving- cos²(2x) once O twice O thrice no…

A: Here, the given integral is: I=∫2xcos2(2x)dx=2∫x sec2(2x) dx

Q: _12. What is the maximum directional derivative Daf of the function f(x,y,z) = x – y² + z² at the…

A: Let's find.

Q: Using Integration By Parts. x3 x2 +4 dx =uv- v- Svau- -Svdu. Find uv- 3 글x리 (x2 + 4)Z-/글x(x2+ 4)2 dx…

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Q: 2. |=xp(x)JLOS Then find the value of the integral: pune f(0)=| Sketch, on a sheet of work paper, an…

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Q: dx , find f(0) · Using Trigonometric Substitution 3 (x²+ x + 1) 2

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Q: Assuming that z is a function of x and y, find the equation of the tangent plane and the equations…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: We find the local extrma using first derivative test by checking the nature of f'(x) at different…

Q: s2+3 1. (s-3)(s+5)(s-1)² s2-s+3 s3(s+5)(s-2) s-8 (s-3)(s²+2s+17) (s+1)²(s²–4s+85) s² +5s-2…

A: let's solve option (2) L-1 s2-s+3s3s+5s-2 By partial fraction, s2-s+3s3s+5s-2=As+Bs2+Cs3+Ds-2+Es+5…

Q: 2x4 + 3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x)? C(2x- 4) +D E(2x…

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Q: A continuous function y f(x) is known to be negative at x = 2 and positive at x=7. Why does the…

A: Given that f(x) is a continuous function.

Q: Consider (2x2- x² + x +2 x4 + x3 C D B + dx = dx find A+B+C+D- + x+1 O 3 O 2 O 4 O 5

A: Topic:- partial fraction

Q: dx The result of is F(b) – F(a), where F(a) and F(b) are both real numbers. What is the value of F…

A: integration

Q: The equation of the sphere with radius r = V75 and center C(2,1, – 1) is (a) x² + y² + z² + 4x + 2y…

A: The general equation of a sphere with radius r and center a,b,c is x-a2 + y-b2 + z-c2 = r2

Q: | 2x+11 dx = Consider 1 dx evaluate 3. x² + x - 6 dx- X+3 X- 2 X+3 X-2 x-2 In + C X+3 |(x-2)3 In + C…

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Q: Evaluate the integral Scor? x dx cot2. O cot x - x + C О -cot x - х+ С O cot x + x + C o 1 cot? x +…

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Q: [sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) sin(2x); [cos(2x) – 1]+ +C + 12 8 4 sin(3x)cos(3x)…

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Q: Question 4 When x°cos (x²)dx is evaluated using IBP, the value of J v du is? A B -cos (x2) cos (x2)…

A: We need to choose correct option.

Q: 3r + cos a 2. Use Squeeze Theorem to evaluate lim 1-00 V1+ x² – 5x

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Q: Given: dx x3 Using trigonometric substitution , solve for the integral form in terms of 0. A sin? 0…

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Q: 16. Follow (and show proof) of each step below to estimate the area under the curve f(x) = 3 cos x…

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Q: Evaluate the definite integral. sin(4t)dt

A: Here is the solution:

Q: Find the function f(x) such that f''(x) = x + cos(x), f(0) = 1, and f'(0) = 2.

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Q: Using Integration By Parts, (2x2 e -Svau dx = uv- Find u v- Sv du- 1 6 x2 e - f12 x e3" ax Soxe s".…

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Q: 2x³ – x² + x + 2 y= (: dx%3D C D + x + 1 Consider dx. , find A+B+ C+D. x4 + x3 x3 5 4

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Q: 2 (х + 2y)dx + (у - х)dy %3D 0

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Q: Question 7 15х2—х3— 43х — 19 Ax+ B C D -dx can be rewritten as dx. The integral + + (x+1)2(x2– 6x…

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Q: Sxsecxtanx dk=uv- fvau -Svau- O 2x sec x - S2secx a 1 Using Integration By Parts, x sec x tan dx =…

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Q: 4 Using Trigonometric Substitution x2 +4x - 5 dx = | f(e)de find the new limits of integration. X+2…

A: By using Trignometric Substitution fin the limits∫14x2+4x-5x+2dx=∫abf(θ)dθ

Q: Find the cartesion coordinates whose polar COordinate is

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Q: Calculate the derivative by expanding or simplifying the function. Q(r) = (1 – 7r)(6r + 5) (Use…

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Q: CHOOSE ONE. Find the length of the curve x = 4- y (a) using the parametric equations r = 2 cos t and…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: S2x². uv- Svau Using Integration By Parts, dx = uv- uv- Jva Find du

A: Our Aim is to solve the integral given below using integration by parts∫2x2e13x -(i)

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: 2) f(x) =f"(x) 3 x+7

A: Use simple differentiation formula.

Q: A/Certain values of x and log1o x are (300, 2.4771), (304, 2.4829), (305, 2.4843) and (307, 2.4871),…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: cos x Given: tan x dx. Using trigonometric transformation , the integral in terms of u is sin x Cos4…

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Q: [ 2x4+3x2 - 1 dx as Rewrite integral of sum of partial fractions. (x3 – 4x² + 5x)?

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Q: 1. Evaluate the following limits. 2 - V2r + 10 a. lim 1-3 x2 + x – 6 4x – 7 lim z+-1- \3x2 – 2r – 5…

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Q: Consider the following vector field. F(x, y, z) = (2e* sin(y), 7e sin(z), 4e² sin(x) (a) Find the…

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Q: 4x3 + 4x? – 2x + 4 dx - (x² + 1)?

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Q: Find 8²-45+13 2

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Q: Evaluate the integral [cot5 x csc x dx O 1 1 늑csc? x-cscs x + 하sc3x + C 2 X + x + C 2 esc x + 1 csc?…

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: We need to find surface integral.

Q: ーx? + 4x +5 dx. Consider Using trigonometric substitution, what is the integral form in terms of

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Q: За — 1 (x – 2)(x + 5)

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Q: 'n = 1 n (- 1) "xη Σ 'n = 1 n2 8. 8.

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Q: dx Using Trigonometric Substitution -sin e+C express the answer in terms of x. (x² + x + 1)7 4х+2 +C…

A: Given ∫dx(x2+x+1)32=43 sinθ +C

Q: S2x²-x² + x+2 2x3- x4 + x D |dx find A + B+ C+D· x+1 Consider O 2 O 5 O 4

A: Here is the solution