[(an-2-n-3) dn 1

Q: 9. z In(1 + x²) dx

A: As mentioned to solve only question number 9.Question number 9,Given,          ∫xln1+x2dx

Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: a.) Evaleiate. (6tanx dx

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Q: 1. Evaluate (i) dy dx, 3

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Q: 1-) dx dx n above is separable.

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Q: Evaluate S 2y²sinxy dy dx

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Q: of ū at the poir 01

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Q: 3 Given that 3. e dx = e° - e, use this result to evaluate 3ex + 4 dx.

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Q: Set up two different ways to find the shaded area - one way oriented horizontally, with a “dx”, the…

A: Sol:By considering small differential area, dy,f(x) = 3⋅ xg(x) = 32 ⋅ x-1x1 = f-1(y) = y23 andx2 =…

Q: If (x – k)³ dx = §,x³ dx , find k? %3D -

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Q: FIND DY/DX OF THE FOLLOWING 5. y=csc Inx

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Q: differ ny dy

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Q: の1) (のの) (めみ) Cn %3D Cnt = %3D antt San So,itis increa Sing. @dn=

A: dn=n32n! On simplification, we get dn=n32n·2n-1!=n22·2n-1! Now,…

Q: find the following intergral X^2+1/ X-1 dx

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Q: solve the following integoal రయి dx 22 Nx²+5

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Q: -8x +5)dx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: evaluate Fhe In tegral 子 dx

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Q: 5. /2хе-2х dx

A: Given:       ∫ 2xe-2xdx

Q: 46-% dy dx change bheorder and eva/ute.

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Q: Use symmetry to evaluate the followingintegrals.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: The rectangles in the figure have been drawn to approximate g(x) dx.

A: Left Rectangle approximation :The left rectangle approximation uses the left top vertices of the…

Q: "4 rseco sin 20 dp do d0 0. 0,

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Q: - 1 dx

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Q: 1. Use a substitution to find (6x2 2)e*+¤ dx showing working.

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Q: 2sinh cosh -dx 3cosh? * 2

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Q: dx is approximately

A: The midpoint rule uses the midpoints of a subinterval:

Q: Show that esin(x²)dx < e– 1.

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Q: use a geoetry formula to find the exact value of the definite interval (-2x+4) dx on the interval…

A: The given function is (–2x+4) with the interval [0,3].

Q: Use the Chain Rule to find dy/dx of the following. 1. у3 (4x3 -Зх? -х -5 )

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Q: So Si S*x 1 су-х ху dzdydx

A: Let the integral be  I = ∫01∫x1∫0y-xxydzdydx 'I' can be solved directly by integrating individual…

Q: 8. Using any work found in Question 7, determine the 3x (x? - 5)° dx a.

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Q: Find the value of b so that (2x – 1)dx = 10 - 1 3 O 2

A: We have to find out b

Q: sec2 X dx 3

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Q: dy _ 1 dx y-x 6.

A: 6) Given:             dydx=1y-x               dxdy=y-x                dxdy+x=y This is in the form…

Q: cln 2 In 5 e2x+y dy dx Jo 1

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Q: Using the Fundamental Theorem of Calculus, we know that 1 dx x2 3 is equal to...

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Q: re? e3 1 dx dy dz xyz

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Q: Evaluate dx .

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Q: dx Evaluate

A: ∫0919+x2dx

Q: The area to the left of z =0.53 is

A: The z-score for any assumed random variable X~N(μ,σ2) is Z=X-μσwhere, μ=population mean…

Q: Integrate (2x + 1)" dx with respect to x.

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Q: dx Vsinxcos3x

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Q: Evaluate e (r- 2|) dx if it exists. If it does not exist, explain why.

A: To evaluate: ∫-12x-2|x|dx

Q: the da entia Dn.

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Q: Graph the integrand and use geometry to evaluate the integral. (3+5x)dx | (3+5x)dx = (Simplify your…

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Q: 7 dx = x3

A: ∫xndx=xn+1n+1+C1xn=x-n

Q: In (x) -dx is equal to x2 The numerical value of

A: Given is an integration and we have to find it's numerical value. Here, we use the Integration by…

Q: sin vr -dx =?

A: Integral of  ∫sinxx dx   is calculated as shown below

Q: Find Jog %3D 1-cosx dz n=770

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Q: Find the value of b so that (2x – 1)dx = 10 O 1 O 4 O 2 3

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