Solve the following integral (a) S dx 1+x (b) S dx 2x-8x

Q: Find the indefinite integral ∫ (e−3x + 2e2x + 3) / ex dx

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Q: 1 dx (1+x2)2

A: Given:

Q: Evaluate the definite integral. 1 ex dx 10 1 + e2x

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Q: 1. S(x3/2 + 2x + 1) dx

A: consider I= ∫x32+2x+1dx

Q: Find the following definite or indefinite integrals: 2+In x dx a) S-

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Q: Find the indefinite integral. Solution in handwritten. 1. f =dx /1+x4

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Q: S (x² – 12x + 100)(6 – x)dx -

A: We can solve as follows

Q: Evaluate the indefinite integral -dx x6 + 1 + C

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Q: Solve the following integral using substitution method: X S. dx √x²-1

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Q: Solve the following integrals with detailed steps: dx a. x²/4+x² dx S - (4-x²)ž b.

A: a). ∫dxx24+x2 Put, x=2tanθ⇒1=2sec2θ·dθdx⇒dx=2sec2θ·dθ Therefore,…

Q: Find the indefinite integral. + 10x – 6) dx = +C.

A: We have to evaluate the  given indefinite integral.

Q: Find the indefinite integral.

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Q: Find the following indefinite integral. SxVx2 +5 dx

A: The given integral is ∫xx2+5dx

Q: x - 1 dx x² +1Xx– 2)

A: First of all use partial fraction then differentiate.

Q: 4. dx (x² +1)*

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Q: What change of variables would you use for the integral S (4 – 7x)-6 dx?

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Q: Solve the following integrals: 1. S–7e*dx 4. S 8*+1dx -6 2. S(2e* – 6*)dx 5. S-dx 3. S;(3")dx 6.…

A: ∫ex dx = ex+C ∫ax dx = axln a+C ; where, 'C' is an integration constant. Note : As per our…

Q: Evaluate the following integral. 3 5x(x - 3)dx 0

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Q: S dx 2.

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Q: (In x) dx x+1 c) d)

A: Definite integration

Q: Solve the following integrals: 1. f-7e*dx 2. (2ex-6x) dx √(3¹) dx 3. 4. f 8x+1dx 5. f=dx X 6.…

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Q: Solve the following integrals with detailed steps: dx a. x²V4+x2 dx (4-x²)7 b.

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Q: Evaluate the indefinite integral. 4x dx x2 +1 + C

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Q: Find the following indefinite integrals. 24x² a) S -dx (3x4-8) b) c) (-2x² - 15e* + √√x³) dx…

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Q: S x² √x²+4 dx

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Q: Evaluate the following integrals. 9 – x2 dx - 1.

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Q: Q5: Solve the following integrals:- *+2-1 (21) Zv- xp- (3) f(x-5x)e"dx (4) dx (1) f- 245x-6

A: According to the guidelines I am supposed to do the first question among multiple questions. To get…

Q: Solve the integral: dy dx. x2 H/4

A: To solve: The integral ∫141∫x2xxydydx. Formula used: ∫xndx=xn+1n+1+C Here, C is constant of…

Q: Solve for the integral of the following using substitution and integration by parts. ∫2x3sin(x2)dx

A: This question is related to indefinite integration, We will solve it using given information.

Q: Find the indefinite integrals below. a) S 12x³ Vxdx dx x³-7 b) S c) S 9e0.2x dx

A: We have tofind the indefinite  integrals.

Q: Find the integral below: (x² + 1) dx (2х3 + 6х)

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Q: dx 2x² 2. + 6

A: Given ∫4x2x2+6dx In order to solve the given integration first substitute 2x2+6=u and then proceed.…

Q: Find the indefinite integral. - 4x2 + 2) dx + C

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Q: Solve the following integrals:- (2) S dx (1) Sx3-2x² dx x²√√9-x²

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: Solve the following integral 1+x (a) S dx 1+x2 x+3 (b) S dx 2x3-8х

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Q: dx -2 (5-4x- x²)2

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Q: InX dx x7 8.

A: on solving integration by part method we get

Q: x + 4 dx = x' + 4x

A: Given, ∫x+4x3+4xdx Now we take the partial fraction we get, x+4x3+4x=Ax+Bx2+4…

Q: x Inx dx .2 4. dx 4-x2 3.

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Q: Find the following indefinite integral - 3r – 5x + 18 dx x² – 6

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Q: 1 dx = 4 + x

A: To findI=∫19+x24dx

Q: Find the indefinite integral. x + 7x2 + e) dx

A: The sum rule of integration states that ∫a+bdx=∫a dx+∫b dx. The constant rule of integration states…

Q: 2: Solve the following integrals: - 7x² +14x+15 (x²+3)(x+7) dx ; 1) S

A: Given: ∫7x2+14x+15x2+3x+7dx

Q: dx (b) . +2) (x +3)

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Q: Solve the following integral xe* dx 1

A: Calculate the integral         ∫12xex3 dx

Q: Solve the integral: √√ 3√x dx x²

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Q: Find the integral ∫(x3 + x)5(3x2 + 1) dx.

A: we have to find the integral of ∫(x3 + x)5(3x2 + 1) dx.

Q: x-1 x² + 5x + 8 S dx

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Q: Solve the integral: 1 √√√√√x+x dx

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Q: dx 1. S (2-3x)2 2. S V2x + 1 dx

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