Vx² - 9 dx 2 a. x³

Q: dx 2+ Vx-4

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

Q: dx 3+ x2

A:

Q: dx 3. S XVx-1

A:

Q: dx Vx+2

A:

Q: х—12 dx 3 (x-5)°

A: The given integration is ∫x-12(x-5)3dx We have to evaluate the value of the given integration.

Q: 2x-5 dx 73

A:

Q: dx 6. J 22- 3x+ 5

A: First question is solved.And its solution is given.

Q: 2r +a*dx. 2.

A: Simpson's rule  ∫abfxdx=h3y0+yn+4y1+y3+--+2y2+y4+-- h=b-an, where nis multiple of 2. x1=x+h

Q: J 2x³ + 3x² - 22x - 60 X2 - x - 12 dx

A:

Q: 2x dx (x*-16)

A:

Q: 3V 4x2 - 3 dx;

A:

Q: Vx2 +4 dx

A: Substitute all in equation (1) then,

Q: ちメー」 dx らメ 2x+3

A:

Q: Vx - 2 dx 5 x*(Vĩ + 1)

A: I have stated the used formulas in the solution

Q: √(x² + 1)(2x³ − 3) dx . -

A:

Q: dx 2(x - 2)²

A: To evaluate,∫1x2x-22dx

Q: dx X - 3

A:

Q: dv 1- 4v2 dx 3v

A:

Q: a) Jo (3x + 1)5 dx dx b) J3 3 -8

A:

Q: dx 4. J、マ-6x+13

A: 4. Given integral:

Q: dx x2 – 2x + 2

A:

Q: x+3 dx. 2x -7

A:

Q: teimx dx xF I+ x²

A: Given query is to find the integral.

Q: dx 1 2x+3 a.

A:

Q: Evaluate:

A: To Determine: Find the integral

Q: dx :Vx2 -1 1

A:

Q: x2 dx 00 (x2+a²)(x2+b?) %3D b-a á 0

A:

Q: Vx² - 2x + 3 dx

A:

Q: j dx (2x-3) 15-12x+cx 2

A:

Q: dx Vx2 - 1

A:

Q: 3x² + 2x t 3 dx と 20

A:

Q: x2 dx (9-x²)3/2

A:

Q: 2x +1 (ii) Sa. dx . 6x² + x – 15 (ii) J

A: We first factor the denominator

Q: ム× dx (x2+1) (3x-2)

A:

Q: Sx²e* dx = %3D

A: Answer

Q: V22 -7x dx Jo V1 – x2

A: Given

Q: Sx (x² – 2)14 dx

A: Use algebraic substitution to integrate then simplify.

Q: dx 2-1

A: Integration.

Q: dx x2+2x+2

A: Given the integration I=∫1x2+2x+2dx

Q: (x² + x) dx -2

A: Given integral is, ∫-20x2+xdx

Q: (a). S xV1– xª dx. (b). S, 1 =dx. Vx2-2x+2

A:

Q: dx 2/x+3 +3

A:

Q: x2 - 9 dx x3

A:

Q: 2 (x²) + 4 dx =

A:

Q: dx (1+8x) 2

A:

Q: xª – 5x³ + 6x² 5a3 + 6x2 — 18 dx x³ – 3x2 -

A: The given integral is: ∫x4-5x3+6x2-18x3-3x2dx Let, I=∫x4-5x3+6x2-18x3-3x2dx

Q: e-7ª 7 + 7* + x² + dx 73

A: The integral given is ∫e-7x+7x+x7+7x-7x3dx. Simplify the integral , using the formula . ∫xn…

Q: dx 3/2 (1+x²)*2

A: ∫1(1+x2)3/2dx Given that:      NOTE: As per our answering guidelines, we can only answer 1 question…

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.