4. (*x3-8| - (x3+8) dx

Q: 2x3 – x² + 2x – 2 dx x²(x² – 2x + 2) - -

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Q: Evaluate (In x)³ dx

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Q: 4 Evaluate f². dx 4-x*

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Q: Prove : (x2 + 2x + 2 )dx > 0

A: The given integral is ∫-10x2+2x+2-x2dx The integral has been rewritten∫-10x2+2x+12x2dx Apply…

Q: 2 cosh x +losion2x = 5

A: I am attaching image so that you understand each and every step.

Q: 9. Evaluate -2x +9x-1 dx (x² – 2x +1)(x +2) -

A: Solve the problem using partial fractions

Q: 3- fx³ In|x| dx

A: The given integral is ∫x3 lnx dx

Q: бх-7 7. S dx (2х+1)(4x2+1)

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Q: 7) Evaluate: S(-x² + 4x – 1)dx

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Q: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

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Q: 3 how that S 5x(1 – x²)² dx = 1

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Q: 8. Evaluate z (9x² - (0x+6) dx

A: As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C And…

Q: In (ax-1)dx

A:

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

A: Here we can solve the integration as below

Q: 13x +5 If x- 2x dx = A In|x

A: Given that, ∫13x+5x2-2xdx=Alnx+Blnx-2+C We have to find the value of A + B.

Q: Evaluate: 3 f(-x² + 4x-1)dx 1

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Q: n/3 sec23x 8. n/4 2+4tan 3x dx

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Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: dx. 4-x² Evaluate IN

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Q: -1 | In(-x)dx -7

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Q: d° Find -(x* In x). dx

A: To obtain d9dx9x8lnx. Compute the derivatives.…

Q: #1) Find for 7x³y5 = -8 dx

A: Let's find.

Q: S(2-x) In(4x)dx

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Q: 9 Find for y = (9x - 7) dx dx

A: The function is given by y = 9x-7-79 To evaluate : dydx

Q: 9/Evaluate to dx 3.

A: Evaluate the intregal

Q: 2.x3 – x² + 2x – 2 dx x² (x² – 2x + 2) - -

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Q: Calculate S√4-x² dx

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Q: .7 Evaluate ſ x³tan-1x dx.

A: The integral is given , ∫x3tan-1x dx. Solve the integral by integration by parts, ∫x3tan-1x…

Q: Evaluate S((x^-4) + (4x^2) - (8/x) + 3)dx

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Q: - Evaluate f 2*+1-5x-1 dx 10*

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Q: S(in 6x) dx x (In 6x)2 - 2x (In 6x) +c x (In 6x)2 - x (In 6x) + x + C <(In 6x)2 - 2x х (in 6x)2 + 2x…

A:

Q: の dy Sーメ+ リーX +5

A: This is a problem related to differential equation. Based on the general formula we will solve the…

Q: -3 In (x) dx

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

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Q: Show that - dx /x²+2x+2 L- In(√5-2).

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

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Q: Evaluate ( Sech²(In x) dx

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: 14 Approximate (x2 - 3) dx using 4 rectangles. 2

A: Solution -    Given Integral is -  y=∫214(x2-3)dx    Now we have to evaluate the value of the…

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: 13. Use a u-substitution to evaluate /x²/(x³ – 2) dx

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Q: 2 19-x² 4 x² X dx

A: Solution of given question is written in below steps.

Q: Evaluate e6 6x cos (7x) dx. 6x cos (7x) dx =

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Q: S(2-x)° In (4x)dx

A: Given the integral  I = ∫132-x2 ln (4x)dx = ∫13x-22 ln (4x)dx To evaluate the integral:-

Q: Show that d (x3 Inx -국x) 3) = 3x² In x dx

A: Hi! You have posted multiple question. So, we will be solving only the first question as nothing is…

Q: 25 - x2 dx

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Q: 8. (b)/2 -- xe dx

A: Integration using byparts: where u is the first function and dv is the second chosen using…

Q: fo³x² 10 xx(In x + 1) dx

A: The given integral is  ∫0∞x-xln x+1 dx

Q: Compute x1+ x² dx 3

A: Given,           ∫01x1+x23dx

Q: 20. Find f2x/(5x-3)dx

A: