by using gamma function x-1/3e-8x dx 8

Q: 3. | (1- 2x) dx 0.

A: Given that, ∫01xdx=12 ∫01x2dx=13 ∫01x3dx=14 The integral to be evaluated is given as, I=∫011-2x3dx…

Q: for: Q1) Find dx 1) y = log3(3x³ +x²)² x In(sec-1 /ã)

A: I have solved question 1 for next question repost.

Q: 3X + 5e) dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Solve S°(1 – x³) eVxdx Solve using gamma function

A:

Q: 3. 1- xZ dx

A: The integration of the integral is x4sqrt(1-x2), limit from 0 to 1.

Q: -3 S x(3x – 1)® dx

A:

Q: 3 4x Evaluate -dx. 4 2 x'-6 3 4x -dx = x* -6 4 (Round to the nearest thousandth.)

A:

Q: 3. Scse*x dx

A: The objective of the question is evaluate the indefinite integral.

Q: 12 (4x – 5y) dy dx

A:

Q: Find the derivative of the function. y= -6x In (5x + 8) dy dx

A:

Q: Find the uv - ∫ vdu form of  ∫ √x ln(2x) dx

A:

Q: 1. Evaluate: a) S x³ sec-1(ln (x)) dx

A:

Q: dx Use Gamma Function to evaluate /

A: Given: ∫0+∞e-x2 dx

Q: Find S н - 2+ dx

A:

Q: x-4 dx x2+2x-15 1 -In]x + 5 - Inlx - 31 +C 9 In|x +5|- In|x – 3| + C Option 1 Option 2 Ln x + 5)이 1…

A: Given problem:-

Q: 1 x'Vx dx –16 x*-16

A:

Q: 12. S e 3In(2x-1) 2x - 1 - dx

A: The given integral is: I=∫e3ln2x-12x-1dx   As we know the Power Rule: ∫ax+bndx=ax+bn+1an+1+C

Q: by using gamma function ∫ x −1/3 ⅇ −8x ⅆx

A: We will calculate gamma of ∫0∞x-1/3e-8xdx Let 8x=y then x=y8 and 8dx=dy…

Q: (xー)(x-)3=DX+1 +4(x-1)3Dx+1 dx

A:

Q: Find the Gamma and Beta Function Below: 5 -x4 : 2x'e dx

A:

Q: by using beta function Vxe-x dx

A: We have to evaluate integral value by using beta function.  I have explained in details please check…

Q: -6: Solve by using gamma function | Vxe-*dx

A: Since you have posted multiple questions as per guidelines I can solve only one question so please…

Q: Calculate S√4-x² dx

A:

Q: Question 5 Integrate the function. X +7 dx 2+2x A22 A)In x7 In +C 2)5 x7 In (x*2)5 In (x

A: Given: I=∫x+7x2+2xdx   We know that; ∫1ax+bdx=1alnax+b+C

Q: Evaluate

A: The given integral is ∫1∞1-xe-x dx. Evaluate as follows.

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given: y=sinh(3x2 ln(1+3x)) Use chain rule for derivative: ddx(f(g(x))=f'(x)ddxg(x) And uv rule for…

Q: 0.602x(3×3!/4)=? (Gamma function)

A: This question can be solved using the formulas related to gamma function

Q: 1 [In(3x)] S (* -5x+2)e*dx

A: solution is given below

Q: . Evaluate S (-+ 3e* ) dx

A: We have to Evaluate  ∫ {(1/√x) - (2/x) + 3ex} dx = ∫(1/√x) dx - 2 ∫(1/x) dx + 3 ∫ex dx

Q: x²-9 dx, х>3 2.)

A:

Q: 0- 19el+2x° dx 22.

A:

Q: -4 (1x|+x-2|) dx -1

A: To find: The integral ∫-14x-x-2dx. Concept used: The absolute function fx=x: fx=x,    x≥0-x, x<0…

Q: Evaluate: S dx. 0 x-1

A:

Q: 1. S =dx = -Arcsin x√x²-4x-1 +2 X √5 +c

A:

Q: 1. S(x* - 5)'x² dx

A: According to our guidelines , we can answer only first question . Kindly re-post other remaining…

Q: Sx* (4 – x)* dx

A:

Q: Compute: d/dx(arctan(2x))

A: Given

Q: Find S x-2 dx Vx+3

A: Integration is the process of finding the anti-derivative function of the given function. A…

Q: - Find dy/dx for y = log2(1 – sin³ (3x²) %3D

A: Use the chain rule to differentiate the given function.

Q: ~10 xe Ax) = Sg" -dx (x + 2)(x+3)(,² – 1)

A: The given problem is evaluate the given definite integral using Simpsons 3/8 rule.

Q: In(x) dx 4

A: we know that, intergration of ln(x) = xln(x)-x Also d/dx (ln(x)) = 1/x integration of 1/x = lnx

Q: Find dy/dx implicitly. 9xy + ln(x2y) = 7

A: The objective is to find dy/dx implicitly.

Q: 4x+5 x2+x-2 5) 6) 2=1 +1 7) fx.tan-1x.dx dx =

A: To evaluate the given integral.

Q: Question 8. Evaluate x2 dx V4-x2

A: Evaluate ∫x24-x2dx

Q: 1. [(20x + 30)(x² + 3x – 5)° dx 2. S 5(x – 4)(Vx² – 8x) dx - 3. S 3x-4(2+ 4x-3)-7 dx

A:

Q: 2) (x23xとl dx (X-1)3 xI dx 3 x +

A: To compute an integral using a partial fraction decomposition method.

Q: Vye-y² dy

A:

Q: Find (x + 2)e3* dx

A:

Q: Compute x1+ x² dx 3

A: Given,           ∫01x1+x23dx

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.