.2 x+3 Evaluate / -dx (x+1)(x²+1)

Q: H(x)= In(x+2)

A: our objective is to find x

Q: dy will be dx In x+1 If y = then 2x3 - 3x' (2x- 3x) +1)- (In x+ 1)(6x? – 3) (2x – 3x)? A. (2x - 3x)…

A: To find the dy/dx of the given function

Q: 3. Evaluate J (2x + 5)(x + 5x)'dx.

A: The given integral is ∫2x+5x2+5x7dx

Q: 2. Evaluate L |x² − 1|dx. -2

A:

Q: dx 1. x(In 4x-1)

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

Q: 3/2 x+3/2 x² - 2 Show that dx = In 3.

A: Since there are multiple questions posted, we will answer the first question posted (4). If you want…

Q: Evaluate f -dx is equal to x In 3x

A:

Q: fy at (3,1)

A:

Q: 7) Evaluate: S(-x² + 4x – 1)dx

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Q: Show that x +2 and oe) = *+6

A:

Q: 5. Evaluate the integral. x+7 (x-6)(r-2)*a

A:

Q: (5 + 6t)7 16x* +6sec(x) x-3cos(x) In(x2 – 1) 2e3x + ex³

A:

Q: 1. Evaluate 2 0 X √1+ 2x² -dx

A: Answer is in step 2.

Q: 5 dx. 2. Evaluate J-∞x²+25

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

Q: 1 th X +7 Fy =

A:

Q: - lx + 2 -dx (x – 5)(x – 4) Evaluate + C

A: Here we can solve the integration as below

Q: -2x dx 7. Evaluate (1–x)' A. x' + 6x - In(1-x)" +, -(1-x)* +C C. x' +6x + In(1-x)' +, (1-x) +c 1-X…

A: See the details solution in below

Q: -2x+5 Evaluate 10-4x -2y dy dx 3x 25 25 26 7. 27 5 0 28 3 27 0

A: First option 25/3 is correct answer.

Q: The integral 9 [² 1 x - 1 dx

A: NOTE: Refresh your page if you can't see any equations. .

Q: 7. Evaluate x²+2 + (x − 1)(x − 4)(x+2) - -dx.

A: ∫1ax+b dx =1alnax+b+C.

Q: 3 7) Evaluate: f(-x² + 4x − 1)dx 1

A: Given, ∫13(-x2+4x-1)dx

Q: 33. (a) L²₁ let - 11 dx r3

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

Q: 6) Evaluate dx (x+1)(x² + 4)

A:

Q: Find dx О А. О в. 0 с. 16 X * - *$*). - X -20%√/x 16 4 X x5 55/4 3 5 16 OD. 3 х

A: Derivative  of [4/x4 -4 5sqrt(x)].

Q: dx. 4-x² Evaluate IN

A:

Q: 11. x² +1 Find +3x+1 -dx

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Q: s at x =-1 and x = 2

A:

Q: 22 Evaluate S- dx. 3/2 +1

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Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…

Q: -5 3. Evaluate dx 4 х2-1

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Q: -1)/(x4))1/2

A:

Q: 8. y = In(x + V +1)

A:

Q: a. Evaluate S dx α x2+βx+13

A: Given- ∫xαx2+βx+13dx To find- The value of the above integral. Identity Used- ∫1a2+x2=1atan-1xa and…

Q: π Show x² x² + x² +1 4 √3 -∞0 4 Hint: x² + x² +1= (xª + 2x² +1) − x² = (x² +1)² −x² dx =

A: The objective is to show that ∫-∞∞ x2x4+x2+1dx=π3

Q: 2- S5olve X" = LX given u =1

A:

Q: dx x(In x)5

A: NOTE: Refresh your page if you can't see any equations. . ............(1) substitute…

Q: 3. X-メ Find d x at x=\

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Q: by3 (3b² – x²)(1 – x5V3)/3b² – x² dx - -

A:

Q: 2. Evaluate x² dx (x-1)(x² + 4x + 5)

A:

Q: 2. Evaluate. (Зx* - 2х + 1)dx -2

A:

Q: 5 Evaluate [ (x + 2)(x² - 1) dx

A: Solution:Given   let      I=∫25(x+2)(x2-1)dxFormula:∫xndx=xn+1n+1+C

Q: 1. Evaluate: z? - 1) In(-x)dx

A: Given, zx2-1ln-xdx ⇒z ln-xx2-1dx We know that the distributive law, ab-c=ab-ac

Q: ines: 8. 3 x 4; D = {Integers} %3D -

A:

Q: 2. (a) Evaluate [ x*V1+4x° dx.

A: We are given : ∫01x21+4x2 dxLet I=∫01x21+4x2 dx Let x=12tan t⇒dx=sec2t2dtNow, when x=0 , t=0when…

Q: x2 + 2 Evaluate ( – 1)(x – 4)(x + 2) dx. - -

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Q: 2) Evaluate √3|x + + 1| dx

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Q: 2* Q3. Evaluate +1_5*-1 dx 10*

A: Given ∫2x+1-5x-110xdx evaluate the given integral

Q: 17. /x(2- x)° dx 1/3

A: Introduction: Suppose, a function fx is given. We want to determine another function φx such that…

Q: -3 +х-5x"+3x' +3х dx Evaluate x' +x- 2

A: Given: ∫24-3+x-5x2+3x3+3x4x2+x-2dx

Q: iii) So z dx 1+x2

A: Given: ∫01 x1 +x23dx To Evaluate given integral Proof: We will evaluate the given integral by…