Use integration by parts to evaluate (2x + 1)e2-1dx.

Q: In(x) dx Vx

A:

Q: Evaluate the integral. (Use C for the constant of integration. x² 3/2 dx - 4x²)2 3 + 4x

A: We have∫x23+4x−4x232dx

Q: Q2.Use Triangular method of integration, find the integral f dx. √√x²-9 5x4

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Q: Use integration by parts to evaluate / 2xedx 2.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Q-3-Edaluate the fallowing Integration 1- X3 x21 2. 2- X+1

A: Use the partial fraction to solve the given problem.

Q: 2/3 dx dx V2/3 x³V9x² – 1

A: Integration is defined as mixing things or people together that were formerly separated.

Q: 13. Use integration by parts to evaluate [x rlnrdr.

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Q: xcoSxdx XCOSXC

A: Basics of Integration are used.

Q: What is the value of the integral ∫2−2 max [1,x2] dx ?

A: This question is related to integration.

Q: Evaluate the integral. dx Vx2 - 10x + 16

A: Given ∫dxx2-10x+16 ∫dxx2-10x+16=∫dxx2-10x+25-25+16=∫dxx2-10x+25-9=∫dx(x-5)2-9=∫dx(x-5)2-32

Q: Evaluate with the order of integration reversed..... 4 11: x dx dy

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Q: Use integration by parts (Tabular) to evaluate: v xe-4x +]

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Q: Jxe* dx 3. х se³* dx

A:

Q: 2 x²log₂ (x) dx S

A: Please show complete solution. (Use integration by parts)

Q: (b) Use Integration by parts to show that ·4 In x ~dx= =-+2ln.x) +C

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Q: dx - Evaluate V4x' +9

A:

Q: (b)

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Q: x² +1 dx (3x+1) 2. Evaluate

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Q: 3. Use properties of integration to evaluate S, x³Vx* + 5dx. If necessary, round your answer to four…

A: Given : ∫12x3x4+5dx   The Answer:   13.5895

Q: Find the integration by using substitution method. 2 dx x² - 6x + 10

A:

Q: S(x + e*)²dx

A: Solution of question is written in below steps. Note: (a + b)2 = a2 + b2 + 2ab

Q: Integrate using an appropriate integration technique. c) ⌠ [2,−2] dx/4 + x2

A: Given query is to find value of  the integral.

Q: Use integration by parts to show that (α) = (α − 1)·(α − 1) for α > 1.

A: Definition of Gamma Distribution: A continuous random variable X is said to follow Gamma…

Q: ) Find the integration: V1-X

A: Given integration, ∫032dx1-x2

Q: dy )"ح.

A: To solve the integral using the integration by parts: ∫y2·eydy Solution: Integration by parts states…

Q: 6. f In² x dx

A: Topic = Integration

Q: Use integration by parts to show that | (x) dx = xf(x) –J xf(x) dx

A: For (a), ∫f(x) dx=∫1×f(x) dxBy integration by parts,=∫1 dxf(x)-∫∫1dx×ddxf(x) dx=x f(x)-∫xf'(x) dx

Q: S x² e¹x dx

A: EVALUATE USING INTEGRATION BY PARTS  For the function x2e4x .

Q: Evaluate with the order of integration reversed..... -√4-y x dx dy

A:

Q: evaluate using Integration by Parts.

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Q: 11.f (4x+5) dx √1-2x

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Q: Find the integration by using substitution method 2 dx x² - 6x + 10

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Q: 3 (x²+2)

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Q: sec? (4x)(3 – tan(4x))³dx

A: Given integral is,  ∫sec24x3-tan4x3dx. Substitute t=3-tan4x.…

Q: 5xt AK fue?

A:

Q: use the table methud from integration by parts to find S(4x2-5x+6e clx

A: we have to find the integral by using integration by parts

Q: Use integration by parts to show that [x²³e³x² dx = 1 50 est (5x² −1)+c

A: ∫x3e5x2dxSubstitute u=x2→dudx=2x→dx=12xdu=12∫ue5uduIntegrate by parts:∫fg'=fg-∫f'gLet f=u and…

Q: What is the value of the integral ∫2−2 max[1,x2]dx ?

A: Value of the given integral is 2x [1- ((x^2) /3) ]

Q: use integration by parts to establish the reductionformula.

A: To prove, ∫xnx+1dx=2xn2n+3x+132-2n2n+3∫xn-1x+1dx

Q: The most convenient way to evaluate A) True B False 2x-3 S- -dx is use Integration by Parts. x²-3x+5

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Q: Se²(x² + 2x dx by using the integration by parts. Q4 Evaluate ,2x

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Q: 7. Solve by using an integrating factor. (a) y + 2ty = 2te-t. %3D

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Q: ㅠ -π sec xdx. 3

A:

Q: [x³√₁-x² 2

A: ∫x31-x2dx=∫1-x2x3dx Let 1-x2=t⇒-2xdx=dt⇒xdx=-dt2                         =-∫(1-t)tdt2=-12∫(1-t)tdt…

Q: 7. f sec5 2 t dt

A: We can solve the integration as below

Q: хах V4x-2

A:

Q: dx 17.S (4x²-9)3/2

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Q: 2. fx Arctan xdx

A:

Q: Ĵ3xco0s(4–x²)–8xV4-x° dx

A:

Q: XCOSXdx

A: Explanation of the answer is as follows

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.