SHOW 12 dzc= In (7+4V) 2. 8 Vx2 -8X

Q: Show that 12 L de = In (7 + 4V5). 2 = In (7 + 4v3). x² – 8x

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Q: tnd F°(E) that Satisfres the intral condidrong

A: Given that  r''(t) = 3t2 j^+6t k^ On integration w.r.t. (t) we get, ∫r''(t)dt = ∫3t2dt j^+∫6t…

Q: 1. + dv

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

Q: dx 5x. J 75V9x² – 1

A:

Q: d 14t5 dt = ? 7. dx 1.

A: Please see the answer in Step 2

Q: 3x+4 > [1] S dx x² +3x+2

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Q: | (212 + 5t – 3) dt

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Q: S(3x2 + 2) V4x³ + 8x dx

A: Solving the problem by the criteria of integration.

Q: f (t) =1*b +acosh 21 + bsinh 21 a+b

A:

Q: For what value of kik>0, does (4kx-5k) dx =9k Select one: O 4 O 6 O 5 O 1 O 3 O 8

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Q: бх — 5 8 Vx² dx 12x + 52

A: Solve

Q: Evaluate /" In Vx dx.

A: Given integral is

Q: Differentiate h(t) = 54ª %3D

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

Q: Evaluate the integral. 2 (6x – 6)(4x2 + 9)dx

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Q: Evaluate the integral. (3 + 4x) V 5 + 6x + 4x2 dx

A: we have to solve integration

Q: 3 dy

A:

Q: S Vx8 – 6x6 + 9x4 dx is equal to -

A: The equation of integral is ∫x8-6x6+9x4dx.

Q: Evaluate the integral. 7x3 dx = Vx2 – 25 +C

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Q: (9) ()f(外に <052X cosZX () fC)に Secなstdt

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Q: S¥×(2x³ + 1)dx 3,

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Q: 3. In cmx) dx =? イ

A: We have given ∫eme2mlnmxxdx Now, ∫eme2mlnmxxdx  Let lnmx=t⇒mmxdx=dt⇒1xdx=dt

Q: 7) sinh 2xdx 8) fcosh vdv 9) f cot ydy pai4 sec? Jwdw

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Q: Evaluate the integral. | 8xex dx

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Q: Find the antiderivative x3/square root of 25+x2

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Q: S(2 + vx)³ Vīdx

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Q: 1 dx, x > 2 x2 Vx2 – 4

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Q: 18) Find m2CDB E 4x + 6 DX 10.x + 20 210°

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Q: Evaluate the integral. 2 vA + 4v8 v5 dv

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Q: Calculate (5x+x) dx, given the following. jzaen 5 15 xdx |(5x+x²) dx = D (Type an integer or a…

A: Calculate the integral of the given expression. Integration of xn is xn+1/n+1

Q: Evaluate , L (x + 3) dydx

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Q: gener dx 1+2y? (6 marks)

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Q: Evaluate the integral. (2x + 8)dx 3. Ja. (2x + 8)dx = %3D

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Q: Evaluate the integral. (9x2 – 4x + 5) dx

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Q: integrate the folowing expression. +2)* (6x°dx)

A: To integrate:∫x6+24· 6x5dx

Q: 2) dy : %D

A:

Q: Use the indicated substitution to evaluate the integral. Jese 63csc (7x)cot (7x)dx, u=7x 63csc…

A:

Q: dx (4+x²)² √

A: The given integral is ∫dx4+x22. Evaluate the integral value.

Q: Find Inz3 dz

A: LetI=∫lnz3zdzLet z3=udifferentiate 3z2dz=duDivide 3z2 on both sidedz=du3z2dz=du3z2Divide z oboth…

Q: Find (6" In(x + 6)). d da

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Q: 4 – Vx dx

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Q: dz %3D

A: Answer is- 36.5 Explanation is given below...

Q: x²dx 5. S х2—4х+5

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Q: If PXS 40 and SPX 63°, calculate: TO (b) RQP. (a) PSR

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Q: 4 da 25 + z? Integrate:

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Q: Evaluate Theintegrals O Ssed3xtan3x dx. 2) Ssin Cinx7dx.

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Q: Evaluate the integral. |(5x2 – 4x + 7) dx

A: First find the integral then substitute the limits.

Q: c) By using integration by parts, evaluate 4x In ?xdx.

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Q: V 16 + (In 8x)2 dx

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Q: Evaluate / lx+ v 49-x Jdx by interpreting it in terms of areas.

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Q: Evaluate the integral. 25 х — 4 Vx xp

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.