Find the indefinite integral. ap- -&x +9 In] –&r² +9| + C a. -&r+9 b. Inl -&r +9|+C c. In| -&r +9|+c с. d. In| -&r -9|+c +C -16x е.

Q: Find the indefinite integral. 4 +2x-1 da In++c 0+1 O In\# + 1| – 3 ln|| – !+C none of these 0!+In\a*…

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Q: The integral from 0 to 27 of 3/(x^(1/3))

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Q: r In(z² + 1) dar x² + 1

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Q: 3. Evaluate the integral x³ - 2x? – 4 dr x³ – 2x? |

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Q: gralof 1/x from ac to bc (0<a<b) is the same as th

A: The purpose is to prove that , ∫ab1x dx=∫acbc1x dx The  integral of 1/x from a to b.…

Q: Evaluate the indefinite integral. (5x + 1 de 2² + 1

A: topic - indefinite integration

Q: Evaluate the following integral. S (2x4) (In(x)) dæ O x° In(z) - 끓#5 + C 25 ㅇ 금과s In(2) + 끓25 +C ㅇ…

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Q: Find the indefinite integral (1 - fa+ 3u)*du. (1+3u)* - +C 9. а. b. 4(1+ 3u)4+ C 4 (1+3u)* +C с. 4 4…

A: To find the indefinite Integral.

Q: Evaluate the integral. 3 + -u du 3

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Q: 7 Evaluate the improper integral, if exists : dr (5 – 2)3 -00

A: Evaluate the given integration value  Limit -infinity to zero.

Q: Evaluate the integral * p-In2 2e° cosh 0 do -In4

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Q: Evaluate the integral: */64 – a°dz .3 2 -

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Q: Evaluate the indefinite integral. (2x + 3 -da 12 +1

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Q: find a complete integral of q=3p2

A: Given that : q=3p2 It can be written of the form ,3p2-q=0                              ⋯1 Since 1 is…

Q: Evaluate the indefinite integral. S csc² 3x v4cot3x – 5dx ,and • Identify what is the u=? and du=?…

A: Given:   Intergral is given

Q: Use the substitution formula to evaluate the integral. In 3/5 33) 5 e5x dx 1 +e10x

A: To determine the value of the integral using substitution.

Q: 8 Evaluate the integral: In 3x dx A. In 3 + C C. +C (In 3x) 1 D. (In 3x) + C В. + C

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Q: Evaluate the integral. °/√36 - x² dx = 36cos + √36-x² + C 6 |x X ° / √36- √36x² dx = 18sin + 36-x² +…

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Q: 14. Find the indefinite integral. 7 49x xp- 13-7x8

A: Given integral is

Q: Evaluate the indefinite integral. бх + 7 +C. || x2 +1

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Q: evaluate the definite integral.

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Q: Evaluate the improper integral : [* 4x°e=9¤*•

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Q: Choose the most appropriate answer: Evaluate the integral : S dx 7x6 x7+1 O In(x7+1) + C O In(x"+ 1)…

A: Let's find.

Q: 1 If n is positive integral,then ах nx (D- a) n!

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Q: [(9)se x². d²+xdx + (x²-n²) y=0_ by substitution x== 1102 at 2 pt souhen Hence show that it has no…

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Q: 6. Evaluate the following real integrals by residue theorem 3 ーン ans : 493 • I= ST dX ans 8 12…

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Q: (4 b Prove that 5 foxx dx = K (6-a) using definition of integral, where fø= k [a,b], on

A: Given function is fx=k on a,b. We have to prove that ∫abfxdx=kb−a. Take Left hand side  Use Property…

Q: Given the integral of- 2x with respect to x. x2+x-12

A: Please refer to the image below.

Q: Evaluate the integral. Oin | +0 | C In (x-8)² x + 7 In |(x-8) ³² (x + 7) + Din ((x=83² ) +1 In C + 7…

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Q: Evaluate the indefinite integral. 7 dt 7 (t + 4)"

A: Given,            ∫7t+47dt

Q: Evaluate the indefinite integral. 4dr z In(8z)

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Q: In evaluating /4-x dr by substitution, if 4 = 4-x then what will be the resulting indefinite…

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Q: Evaluate the indefinite integral. 5æ4 (25 + 1)? + C

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Q: 23+dt (4+3 Co+ 3+)5

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Q: Evaluate the indefinite integral. 7dx a In(3x) +C

A: We hae to evaluate  the indefinite  integral.

Q: Evaluate the integral a"(2* - 3) "de, 19 by making the appropriate substitution: u = 19

A: The given integral is ∫x3x4-319dx

Q: Evaluate the integral.

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Q: Compute the definite integral (x + 4) In(x²)d.x.

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Q: 1 x²(x3 - 4)³ of xp

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Q: Evaluate the integral.  integral from -7 to 0 and integral from -5 to 0 (5x-6y) dydx   a)- 175/2…

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Q: Find the indefinite integral J(-16r² – 4x + 6)dr. a. -12r-4x + 6r +C b. -4x*- 2r+ áx +c c. -4x-2r+…

A: Solve the following

Q: Evaluate the integral. '5 (In(x))² xp x3

A: Given integral

Q: Evaluate the integral ∫√(3 - 2s) ds

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Q: 3- The value of the integral , by using simpson method andn 3 is 0.96375. F TO

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Q: In evaluating 4-x dr by substitution, if u=4-x then what will be the resulting indefinite integral…

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Q: Use the definition of the integral to write 8k 3 2 lim E n- o k =1 n as an integral. Do not evaluate…

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Q: Evaluate the integral * -In2 2e0 cosh 0 do -In4

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Q: Choose the most appropriate answer: Evaluate the integral : f 7x6 dx x7+2 O In(x7+2) + C O In(x7+ 2)…

A: We will use substitution method to solve the integral.

Q: Suppose we perform the substitution .3 u=9-x in the integral

A: Given that:∫123x29-x3dx

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.