Find + 3) (т - 4)dx

Q: 17 4/7x – 4 dx -

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Q: S(7x-2)³ dx = (7x-2)4 + C. 28

A: The given integral,      ∫7x-23 dx=7x-2428+C

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: 2 3 -x³ dx 10

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Q: 7. Find. V2x dx - 1

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Q: 3. What is Se3x dx?

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Q: 0.2+ 25x+ 3x2) dx

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

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. determine ∫12/5-2x dx by using substitution technique.

A: ∫125-2xdx  This is the integral given to us.we need to perform valid substitutions to evaluate the…

Q: 2 cosh x +losion2x = 5

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

Q: 1 + cosh 2x 9. cosh² x 2

A: To prove the identity

Q: S sec 7x tan 7x dæ 4,

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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: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

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Q: Find 1 SC + sec²6x + 9)dx: e3x None -3x tanbx + 9 x + c 6 -3 -3x tan3x + 9 x + c 6 -3 e-3x tanbx +9…

A: We can solve the given integral .

Q: Find 23x(10)* -' dx

A: The given integral is ∫23x10x-1dx

Q: -33e* – 105 -dx e2x + 8ex + 15

A: Here we use partial fraction method to solve the integral.   We know ∫1x+adx=ln(x+a)+C ln(ex)=x…

Q: fon'x secx .dx

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Q: 11-x 1 S S S dydzdx 00 x+Z 2.

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Q: -7, 2x (x2 + 1)dx

A: We can find the integration as below

Q: 5. Evaluate. |2x – 4| dx -

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Q: SV4-9x2 dx

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Q: Evaluate by any applicable method. 1/2 5-x So dx 4x2+1

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Q: 4-x2 dx -2

A: The given integral is

Q: Evaluate. .3 S (-x² + 4x – 5)dx -2

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Q: 19-x² dx 2

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Q: 5. Compute Jo Jitvx 1 dx -2

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Q: 32x ) dx In|xl + C 3 %3D - |- 3x. 2 In 3

A: let the missing term is Y

Q: 8. f sec² (3x - 1) dx

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

A: See the attachment

Q: Solve s(4- dx 3x2

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Q: 1- S dx -4 4

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Q: 11-x 1 || | dydzdx 0 0 x+z

A: the given triple integral is: we have to evaluate the given triple integral.

Q: Calculate S√4-x² dx

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Q: Find 2 / 9-4x² 2 9-4x² dx. dx =

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Q: 5) Evaluate x2n-1e-kx² dx

A: Gamma Function: Γ(n)=∫0∞tn-1 e-t dt And Γ(n)=(n-1)!

Q: 4. Evaluate -dx. V16 – x2 -

A: Given integral:

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

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Q: How do I calculate sec^-1 (1)?

A: Domain of sec-1(x) is (-∞,-1] ∪[1,∞) and Range is [0,π2) ∪(π2 ,π].

Q: ∫[(1/ (x2√(4 - x2))) dx] Please show all work

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

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

Q: on to find at the point (-2, 3) dx² on

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Q: 19-x 2 Find -dx 2 x² 5.

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Q: 21 (b), dx -1 3e2x

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Q: (4 - x2)3/2 dx 3

A: Consider, I=423∫-22(4-x2)3/2dx I =4232∫02(4-x2)3/2 dx   since f(x) is even function that is…

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

A:

Q: Find 9x(6)* - 'dx

A: Given : ∫9x6x-1dx

Q: 9, (x2 + 2x - 5) dx

A: