r4 4x² + 2 + 2/x Evaluate dx.

Q: ay or dx. 2x + y = 7x - 6 to find y a)

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: dx 3/2 3

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Q: a) Evaluate: -6x2 + 2x dx . b) Evaluate: - + dx.

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Q: V5 x 2 dx = 7 2 +C 517

A: Here we will find the solution.  We know,  integration x^n = x^n+1 / n+1  + C , where c is any…

Q: klax=5 and gk)dx = evaluate {12/(x) +6g(x)}dx =

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Q: J 2x³ + 3x² - 22x - 60 X2 - x - 12 dx

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Q: x+2x dx r2+1 -2.

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Q: dx Q2) Evaluate 2. 9+3x

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Q: .4 dx (x² + 9)2

A: To evaluate the following integral.∫x4 dxx2+92

Q: 43x2-2x dx . | Evaluate x + 2

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Q: r2V2 Vx2-4 dx

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Q: ng trigo V4 - x dx マ。

A: Given:  I= ∫x3 4-x2dx       put  4-x2= t       ⇒ -2x dx=dt    ⇒ dx=dt-2x          I= ∫x3 t dt-2x…

Q: 2x2 - x + 4 dx. x3 +4x Evaluate

A: ∫2x2-x+4x3+4x  dx

Q: Q1- Answer only two 2. Evaluate (x + 2)-5e-(x+2) dx.

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Q: e2x dx Evaluate: 9-4e4

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Q: dx- 3 (9 — бх — Зх2)2 -

A: Consider the given integral. I=∫x9-6x-3x232dx First, make the complete square of the denominator.…

Q: r2 (e2x-2e3 dx e 3x

A: We know, eaeb=ea-b

Q: x³ +2x .3 dx x2+1

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Q: Solve: dx dy = 3x5(9 + y²)3/2 %3D

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Q: Evaluate the definite integral using the given values

A: Given: verify that ∫26x3dx=320 for verifying given integral we solve left hand side

Q: .2 dx r6 +1

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Q: (5 – |r|) dx = -6 |

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Q: dx 3— 2л — т2

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Q: Sx V(x² – 5) dx 3 2

A: We have to solve the given indefinite integral: ∫x x2-53 dx Solving the integral by using…

Q: 10 b.) x-36 dx 64

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Q: r(4) r (3:5) 了ざ。 X dx

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Q: dx D3. Evaluate (x²+9)(x²+4)

A: Integration

Q: -6 3 dx. - 25 - Evaluate x² -

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Q: d² Vx7 b) Evaluate dx2 x=9

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Q: S₁ dx J2x (J2x +9)

A: To solve the given integral.

Q: 2x e² dx 9 + e4x

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Q: r8 17 - By?) dx dy

A: While integrating with respect to one variable , take other variable as constant.

Q: Find:

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Q: 9x²–x+ dx 1. Evaluate

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: V212 -7x2 dx Jo V1- x?

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Q: Evaluate I 6 dx 3-2X -x2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: dx 3 (2-4ス-

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

Q: 8x' +13x dx. (x² +2)² (b) Evaluate

A: Using partial fractions, Partial fractions of 8x3+13x(x2+2)2=Ax+Bx2+2+Cx+D(x2+2)2 as there is square…

Q: 7. What is Vx3 – 7 i dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Sx²e-x² H₂(x)H₂(x) dx

A: We know that Hn+1x=2xHnx-2nHn-1x⇒2xHnx=2nHn-1x+Hn+1x⇒xHnx=nHn-1x+12Hn+1x…

Q: Q.2: Evaluate: -2 2 dx 1 I = x2 - 8.

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Q: Evaluate: - 4) dx -1 38 3 32 (B В 3 12 14

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Q: r1/2 dx V1 – x² 37 3

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Q: YOUR TURN 3 x + 1 Find dx. (4x² + 8x)³

A: We need to evaluate the integral. We will make use of the substitution: 4x2 + 8x = u Hence, (8x + 8)…

Q: r 5x² – 3x + 18 dx aln b - clnd x(9 – x²) 12.

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Q: 17x2 – 2 dx. x² (9x² + 1) 18x3 – Evaluate (1 + z76) ==

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Q: (c) Evaluate -dx (x – 3)3

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Q: 3x2-3 and y(0) = 8, then y(1) = If dx 4. 12. 0. 8 6.

A: As a first step, let\'s rearrange the term. Please see the white board.

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.