x+3 k) S- dx x2+6x-11

Q: 4x – 3 - 3 Given : | dx x² (x² + 9)

A: Given : ∫4x2-3x2x2+9dx

Q: F(s) = (8s + 11)/[(s-4)(s²+9)] %3D

A:

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

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

Q: 7. Find. V2x dx - 1

A:

Q: 3) Evolvate Ci(0) e²/z dz е

A:

Q: Solve the dff oq 2. 3. 3. %3D 1

A:

Q: f(x)dx = 2, 5 and 8 f(x)dx = -5, then, 8 f(x)dx = -3

A:

Q: III. Evaluate 4 - x -dx. V16 – x2

A:

Q: бх-7 7. S dx (2х+1)(4x2+1)

A:

Q: (3x -x2 dx 3.

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

Q: ди + 2и ду %3D dx2

A: Given PDE is

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

A:

Q: Sla 1 z dx |(25 – x²)3/2]

A:

Q: dx 7. JIVa² – 2x + 5 (hint: let æ² – 2x + 5 = (z – x)²) -

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

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

A:

Q: 2 d 3)[(3x2 – 4x +7)(5x³ – 9x)®] dx - -

A: Here we apply u.v rule of multiplication in derivative

Q: 4-x2 dx -2

A: The given integral is

Q: 8. 8. f(x) dx = 37 and g(x) dx = 18, find [3f(x) + 5g(x)] dx. %3D %3D

A: We have to find the value of integral: ∫083 fx+5 gx dx if ∫08fx dx=37 and ∫08gx dx=18. Rewriting the…

Q: -4x2 + 21x + 10 - dx = J C x3 + 10x2 x + 10

A: To find the value of A,B,C can be found by comparing by the decomposed fraction which gives…

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

A: let the missing term is Y

Q: 2. S (2x-5)dx x2-5x+3

A:

Q: |f(x) dx g(x) dx = 15, find / [3f(x) + 5g(x)] dx. If 28 and

A:

Q: f3xcos(4-x*)-8xV4=x² dx s(4-x²)-8x/4-x² dx —:

A: Let us solve the integral using substitution method in the next steps.

Q: Solve for k such that 1 | k(x² – 2x + 1)dx = 5

A: Given problem:- ∫ k(x2 -2x+1) dx =5  Solve for k

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

A: See the attachment

Q: 3r² + 10x + 7) In (z²+3) dz

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

Q: In the function given. Evaluate the integrals.

A: Given:∫03 fx dx=2,∫36 fx dx=-5∫36 gx dx=1∫36 3 fx -gx dx=?

Q: 5) Evaluate x2n-1e-kx² dx

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

Q: dx 10) √x²4(14+x²) a) - - - c) - 1 4X ㅗ 4x + 1 andan ²/3 + c autan 1/2/3 + c 8 I ondan 2/2 + c 8 j 8

A:

Q: x-3 dx V16-x² (16-х2

A: Given,          ∫x-316-x2dx

Q: .7 f(x)dx= 12 and f(x)dx = 3.1, then 5. If %3D

A:

Q: 4 -4 x3 16-x² dx is equal to

A:

Q: 9 2. If fS(x)dx= 37 and g(x)dx=16, = 16, find [2f(x)+3g(x) ]dx- %3D 0.

A:

Q: 16 / #(x²)dx if f(x)dx = 7. Find Enter the exact answer. xf (x² )dx = -4

A:

Q: (2) S 1 x= V1-x²

A: Solution

Q: 2x³y' = y(y² + 3x²) using Bernoulli.

A:

Q: 3 V3x x2 dy dx O 27 O 54

A:

Q: Find 6 [2f(x) – g(x)]dx = i - if 6 6. = 2 and g(x)dx = 10

A:

Q: Vx2-3 dx , x > V3, is equal to:

A:

Q: 5 dx is: V4-x2

A: Given:  Let I=∫54-x2 dx To Find: To evaluate the given integral.

Q: Not sure how to start this problem.

A:

Q: 3. Jo F(x)dx=-7, S9(xdx= -12, S 9cx) dx - -15 9(X) dx = -15 Find the value a Such that (af(x)…

A:

Q: 2-3x dx V2x -x+5

A: Given: ∫2-3x2x2-x+5dx

Q: S(3x².fu)+x°, f'(x) dx =24 so, so, f(2) = ) %3D

A: We have to solve the given question. Derivative of the function f(x) can be written as f'(x) Product…

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

A:

Q: 3 2 - VX dx x² – 4 1 2]

A: ∫12xx2-43dxLet u=x2-4.=∫-3012u3du=12·∫-301u3du=1232u23-30=12--123· 323·32=-3-123· 3234

Q: 2. 16-x dx 2.

A:

Q: 6. 2.x5 4 + 4. V dx Find - - + C

A: using ∫xndx=xn+1n+1and    ∫dxx=lnx

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

A:

Q: rlog 2 Vex – 1 dx -2 S, x8Vx2 – 1 dx x² x8 dx (a? Loc2)7

A: Sol

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.