In 15 3e-2x dx In 8

Q: 17 5. S dx х2+ 13х +1

A: We can use the following standard integration result to evaluate the given integral:…

Q: In(52) dx 3

A: To evaluate

Q: Sx(2x – 3)®dx

A:

Q: 10.2 Jo +8 1 + x3 dx

A: Follow the steps.

Q: 2. determine ∫12/5-2x dx by using substitution technique.

A: ∫125-2xdx  This is the integral given to us.we need to perform valid substitutions to evaluate the…

Q: In (5x- 2)dx In (5x-2)dx = %3D

A:

Q: /3 In 3 7e*dx 1+ e 2x

A:

Q: Evaluate the integrals

A: Given, ∫ln 6ln 7∫0ln 2∫ln 4ln 5 ex+y+z dz dy dx

Q: 1) Dyニメー2x十一o円 2x+10

A:

Q: (In /3)/3 24) З е3x dx 1+ ебх

A:

Q: In (ax-1)dx

A:

Q: Sin zt 2 2 7o47 mous

A:

Q: | 2tan-'(x)dx 플 + lm2 - In (4) 2/3 *- In(4) 6/3 In(÷) - 3 /3 O None 2n - 2 ln 2

A:

Q: (1+2 In æ)4 -dx

A: Indefinite Integration using substitution

Q: | In|Vi + 1| dx

A:

Q: 14. Evaluate. dx xvx2-1

A:

Q: 2.x -dx 1+ 2x In 9 B In 81 C In 3 In 3. ID

A:

Q: In(3x – 2) dx

A: It is known that: ∫ln xdx=xln x-x+C, where C is the integration constant.

Q: Evaluate exactly. In4 xe'dx TTTArial

A:

Q: In 2 ,2x dx (3) [in2

A:

Q: 7. Se* (1 + 2e*)* dx

A:

Q: .3, 2- 2 1. dx =? 4

A: ∫02x2-x342dx = ∫02x2-x616dx

Q: 1 √¹²₁₂ (3x-5 - 2x-6) dx

A:

Q: In (5x) dx =.

A:

Q: In x dx= ? 5)

A:

Q: 7) Find √ (1/1₂ + 3x + 2) dx

A: Given problem:- ∫4x2+3x+2dx

Q: 3 * 12(In x)³ dx

A:

Q: Which of the following is correct? * 3 3 (3 In(x²)) = dx (3 In(x²)) = dx Option 1 O Option 2 d 6 (3…

A:

Q: 3 +5 - dx =

A:

Q: 1. dx = In(5)?

A: ∫1k1xdx=ln(5) We need to find the value of k To find the value of k , first we integrate 1/x…

Q: S,(3x + a)dx = 10 , then a =

A: Given: ∫123x2+adx=10 As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫a·fxdx=a·∫fxdx;…

Q: 3 3 25x ? 2 7x3 3 16х5 dx 5

A: use property of integral to solve this.

Q: In(12 x- 11) dx

A:

Q: (A) Evaluate S (3x + 6) (4/¤ +1) dx.

A:

Q: | In(x + 4) dx

A:

Q: S(in 6x) dx x (In 6x)2 - 2x (In 6x) +c x (In 6x)2 - x (In 6x) + x + C <(In 6x)2 - 2x х (in 6x)2 + 2x…

A:

Q: | (In(5x))° dz

A:

Q: In 2x dx х.In 4x

A: We have to find integral of given function.

Q: (In x)2 23. dx

A:

Q: In x xp- dx 3- 2x In?(3x)

A:

Q: 11. In x)3 dx 4x

A:

Q: 1 dx 7х — 2 1 In(7a — 2) + с 7 -

A:

Q: In 4 e2x dx 10)

A:

Q: 5. Evaluate: dx

A:

Q: In(9x + 8) dx

A:

Q: So 3 -dx 4 9 + 4x CV 9r + 4x³

A: The given definite integral is ∫0329x+4x39+4x4dx

Q: 2 S(²/33 -3 + 5x² + 3) dx

A: Given,            ∫2x3+5x2+3dx

Q: 11. In 9 ½ dx In 4

A:

Q: 4 3x+2 dy %3D 2x-1 dx 12/09/2021 10: 00

A:

Q: 2) Evaluate: 6+ 1-x² i) dx

A:

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.