x2. x² – 9 dx ? Using trigonometric substitution, what is

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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: BLUsing the following table, find f(x) as polynomial in x: -1 3 6. F(x) -6 39 822 Good Lup 3.

A: Let's find.

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Q: dx Using Trigonometric Substitution 3 sin e+C. 3 express the answer in terms of x. (x² + x + + x+1)…

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

A: We need to evaluate integral.

Q: 1 Using Integration By Parts, x sec x tan 2 1 -uv-Jvau Find u v- Svdu '2x sec 을x-J25ec을x dx o 1 2*…

A: From the given problem; ∫xsec12xtan12xdx=uv-∫vdu    ....1   We know that; ∫secxtanxdx=secx+C

Q: Ca

A: ∫92-x22dx=∫81-x22dx=∫ 6561-162x2+x4dx=∫ 6561dx-∫ 162x2dx+∫ x4dx=6561x-54x3+x55Add a constant to…

Q: Find the derivative of the function. f(x) =-4x2+x+ 6

A: Consider the function  f(x)=-4x2+x+6

Q: x³ + 6x² + x+2 s ax + In[cx + 1}*(x² – x + 1)°| + fx-1 Tan-1. V3 The resulting integral of x³ +1 +…

A: use simple integration formula.

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

A: Here is the solution:

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Q: Using Integration By Parts, x Arcsec 3x dx=uv- -Svdu 了 Find uv- x² Arcsec 3x – 2 dx 2 x²-1 3 x…

A: The given integral is: ∫x sec-1(3x) dx

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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

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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: • tan°(x) Xp- cos“(x) 1 1 tan9

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A: Here we have to apply trigonometric substitution.

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A: I am attaching image so that you understand each and every step.

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

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Q: Find the derivative of y with respect to t. y = In (t) dy %3D dt

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A: Given problem:-

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Q: sNinzx dx=uv- Jvdu -Svau: Using Integration By Parts, Find u v- Sv du 2 XyX In 2x-| 들 Vx dx 2 XVx In…

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

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Q: 1 A function f is given by f(x) = This function tak (x+ 4)2 f(x + h)-f(x) Find f(2), f(0), f(a), f(x…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Using Integration By Parts, x3 V x² +4 dx = u v- -[vdu Find UV-

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A: Topic:- application of integration

Q: Performance Task Determine the antiderivatives of the following 1. sec24x dx 2. [(tanx – 1)²dx dx 3.…

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Q: Evaluate the definite integral: 1/5 dx 1-x2

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

A: To find the partial derivatives for given function.

Q: 1. Given: S(x) = {10ze", | 2r³ + 3x² – 12x, r>0' I < 0 a. Find all the critical numbers of f. b.…

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Q: Evaluate the integral Jcots x csc³x dx -csc 1 7 x + 1 1 sc x + C csc csc x +csc? x + C X 1 2 1 7csc"…

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