Evaluate: ((-x² + 4x – 1)dx 1 3.

Q: Evaluate: a) +7sec2 x dx /x 1+x?

A:

Q: Find the intergral of dx/(x^2+6x+13)

A:

Q: x+2 dx x2+4x-2

A:

Q: (V2x° – Ta) dx - (b) / (x + 4)(2 – 1) dæ (c) a²Vx³ + 1 dx

A:

Q: dx 9-x2

A: We will find the integral as following.

Q: ?dx V4 -x² 2.

A: Given ∫x24-x2dx

Q: 29. f(x) = 3x4 + 8x³ – 18x? 30 %3D -

A:

Q: dx x2 + 25'

A: Here we will sove the given intigral,

Q: 4. f(x) = 2x – 6x – 36x? 4 бх -

A:

Q: Cos2 10x d 8.

A: The integral is given by,

Q: Q4/ Evaluate xe2x dx, using i- Two point formula

A: Solution is given below:

Q: dx x² - 4x + 19

A: Given,  ∫1x2-4x+13dx

Q: dx x'V4- 8x?

A:

Q: √= - 4x + 43 x² 11x + 18 dx = +C

A:

Q: (2) S dx x²√9-x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: d Differentiate (-16x-1 +4x + 2) when x dx

A:

Q: Evalvate 5x-12 X (x²+4) dx

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Q: -4 dx 2. 510

A:

Q: dx 9 + x2

A: Integrating the function of the standard form we have,

Q: So dx VL-4X2

A:

Q: dx : 9+x² 3

A:

Q: -6 3 dx . x² – 25 2. Evaluate |-

A: Topic- Integration

Q: dx x2-10x+34

A: Solve above integration.

Q: iv) [16xe*)dx бхе ,-(x+9)

A: The formula for integration by parts is given by: ∫u.v dx=u∫v dx-∫dudx∫v dxdx Note: ∫a.fxdx=a∫fxdx

Q: x* dx (9x² + 49) - (92 - - (9x* + 49) +c V9x² + 49 18.

A: This is a problem of integration. Based on the general formula we will solve the integral problem.

Q: •B Find 2xVx- 5 dx, where B > 3.

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Q: dx (x2 – 6)2

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Q: dx (v9-a 9-x2

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Q: - Trig Sub x5 dx (36x2 + 1)ž

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Q: dx 3 - 2х-х*

A:

Q: Show that: -1 xb-1 In x dx b2 2-

A: we use integration by parts

Q: dx V5+4x-x²

A:

Q: dx -x² – 4x+12

A:

Q: : Evaluate: r 2x3-4x2-x-3 dx | х2—2х-3 |

A:

Q: dx x²-6x+18

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

Q: dx Зх 3D 2sec® in x²V9x² – 4

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Q: Sxe dx -X-

A:

Q: d'y 4x2 +8x dx

A:

Q: -2//3 dx 28. xVx² – 1

A: Solve this question by the substitution method: also you will need this in future:

Q: dx x2 – 6x + 10

A: We can find the integration as below.

Q: 2 < 3x|x dx = 56 ,b فما قيمة b

A: Integral

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

A:

Q: Use the Quotient Rule to evaluate and simplify

A: Given that: ddx x - 13x + 2

Q: dx x² + 8x + 7 2

A: We know, ∫dxx-a=lnx-a

Q: dx Evaluate ) TVx2 +5x-3

A:

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: 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: dx . Evaluate 3 xVx² – 9

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Q: Find:

A: We rewrite the given integral as:

Q: dx Evaluate: x/9x² + 4

A: LetI=∫dxx9x2+4I=∫dxx(3x)2+22Put 3x=2tany  ⇒y=tan-1(3x2)differentiate…