Given: dx x3 Using trigonometric substitution, solve for the integral form in terms of 0.

Q: u+ 2v = 1+ vw; w, and vw. w

A: To find the partial derivatives for given function.

Q: Using Integration By Parts, x3 x2 +4 dx = uv- - Sv du

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Q: |(x² + a) 5 5x The resulting integral of dx is In +eTan-1X + C, where a, b, d, and e are integers.…

A: Given:        ∫5xx3+x2+4x+4dx Apply linearity:     =5∫xx3+x2+4x+4dx Factor the denominator:…

Q: Evaluate sin*(2x)dx. sin (2x)dx. sin 4x, sin 8x + C 64 3x 8 8. sin 8x + C 64 O X sin 4x 4 8 8 O 3x +…

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Q: (2x + 4) + 1 (2x +4) +1 dx: x2 + 4x + 5 x2 + 2x- 10 2 2 2 Consider dx = x2 (x2 + 4x + 5) dx evaluate…

A: We can solve as follows

Q: MY INOTES ASK YOUR TEACHER PRACTICE ANOTHER Two people start from the same point. One walks east at…

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Q: Find the average rate of change of the function over the given interval. R(0) = 40 +1; [6,12] AR…

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Q: 1 -x dx = u v- Sx sec xtan Svau Using Integration By Parts, Find UV- X sec ec- x dx 1 1. x sec 1.…

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Q: Evaluate the definite integral. V4x + 3dx 0.

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

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Q: Using trigonometric substitution, what is dx ? A sec + C 2x2 Vx² – 9 +C sec-1 6x2 none of the…

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Q: Ssin(x)cos(2x)sin(3x) dx O sin(6x) sin(2x) , sin(2x)cos(4x) 24 8 8 + 4 sin(3x)cos(3x), sin(2x) +…

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Q: 1. Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Let θ denote the angle between thw ladder and the ground

Q: 5 — 4г — 2? dx

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Q: 10. Consider the function f (x) = x³ + 6x2 -36x + 4. Then I. f decreases on (-6, 2) and increases on…

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Q: Write a in the form a = a- T+ anN at the given value of t without finding T and N. r(t) = (t + 5)i +…

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Q: A company manufacturers and sells a televisions sets per month. The monthly cost and price-demand…

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Q: Given the function f(x) =2+3x - x³. Determine the intervals where f is increasing or decreasing,…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: dx Using Trigonometric Substitution , find f(e) !! (x2 + x + 1)2

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Q: Use substitution to evaluate the integral. s1/5 sin(s/5 - 2)ds 1/5 6/5 sin(s - 2)ds = %3D

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Q: 15x2 — х3 — 43х - 19 The integral J (x + 1)²(x² – 6x + 13) can be rewritten as Ах + B C D + + bx + c…

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Q: f2x² Find uv- v du Using Integration By Parts, dx =uv- du UV- | S12 xe 6 x2 dx 3 x2 6x e dx 02

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Q: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

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Q: Question 3 6x³e**3 dx. using integration by parts Svdu) and letting = UV u= f(x), dv= 3 g(x) dx,…

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Q: Find the cartesion coordinates whose polar COordinate is

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Q: За — 1 (x – 2)(x + 5)

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Q: Evaluate the definite integral. 1 5x +6dx

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Q: y" + 4y' = cos(t – 3) + 4t, y(3) = 0, y'(3) = 7

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Q: Consider the following. 1 f(x) = 2x – 4 x2 y 4 3 y=2 x – 4 2 1 X 8 (a) Write the integral that…

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Q: 2х dx cos?(2x) Evaluate 1. xtan (2x) + In|cos(2x)| + C 1 xtan (2x) + In|sec(2x)} + C xtan (2x) 1…

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Q: Find exactly T(t) and N(t) for x = e*cost, y = e'sint, z = e' for t = 0. [Choose the correct…

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Q: x +6 (a) Find dx. (1– 2x)(x² +3)

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Q: Let r = xI + yj + zk and r= |r|. Find each of the following. (Give your answers in terms of r.) (a)…

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Q: What change of variables is suggested by an integral containing * Vx² – 4? O a cosø O none of the…

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Q: 2x2+x - 1 Evaluate -dx using method of partial fractions. Which of the following is the correct form…

A: We can proceed as follows

Q: (2х + 3у)dx + (у — х)dy —D 0

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Q: If f(x) = (4x – 2)² - (3x² + 6)", find f'(4).

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Q: cos. Given: tan x |dx. Using trigonometric transformation , the integral in terms of u is m ( u ™ )…

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Q: 9- x2 Consider using Trigonometric Substitution what is dx ? x2 3 sec e tan e de 3 sec e de 3 sec2 e…

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Q: What will you factor out from the integrand of ] csc°(3x)dx so that you can transform it to its…

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

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Q: 2 - メ

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: The given function,   f(x)=1x+ln x, 0.6≤x≤5

Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

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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: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Using Trigonometric Substitution J JA€)d® ,find f(e) (x2 + x + 1) 2 4 3 sec? e 4 3 sec e O 3 sec e 4…

A: Here we have to apply trigonometric substitution.

Q: 5x |(x²+ a) The resulting integral of dx is In +eTan-1X + C, where a, b, d, and e are integers. What…

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