2e* dx C. ex(4ex+3) Rule used: #

Q: dx -0- of

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

Q: 1 -x' dx (6х +5)*

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

Q: (» — у + 3) da — (ӕ — у) dy — 0

A: Exact differential Equation: A differential equation of the form M dx + N dy=0 is said to be exact…

Q: 2x dx Using an appropriate substitution, evaluate:

A: It is a basic definite integration problem

Q: dx Evaluate: 1) 2) -2x 3) 4) 5) 5-y'

A: *** As per our guidelines, we are supposed to solve only the first three problems/subdivisions.…

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

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

Q: 2.x? Evaluate dx using substitution technique. 2x' +5

A: Since Mulitple questions are asked, Hence doing only first question.

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

A:

Q: 2Cos3xSenx +Sen2x Simplificar: E= %3D 2Cos7xCos3x- Cos10x

A: Given E=2cos3xsinx+sin2x2cos7xcos3x-cos10x To simplify this the identities used are…

Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

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Q: а) Using an appropriate substitution, i) Evaluate fx*(1- x) dx. x2 Show that , (x-1)3 *+ In 2 . ii)…

A:

Q: 4-x III. Evaluate dx. V16-x2

A:

Q: -2 Evaluate (5х — 2) dx -6

A:

Q: dx is using algebraic substitution technique . The only solution to evaluate 3+ A True В False

A:

Q: (a) Find fx5 +2 cos(2x) dx

A:

Q: Sx³sin (x²) dx

A: Let's solve given integration.

Q: dx Evaluate So x²+4

A: Follow the procedure given below.

Q: -23 dx. . Evaluate:

A: According to Bartleby's guidelines we are allowed to solve only one perticular question at a time.…

Q: Find for 7x3ys = -8 dx

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

Q: S sin 2t Vcos 2tdt

A:

Q: Example: Evaluate J = e-x dx by using trapezoidal rule, n=10.

A: Given J=∫01e-x2dx and n=10

Q: .2 dx Jo (9 + x²)2

A:

Q: у %3D (3 — 2х — х?)(х + 3)(1 — х)2 , find dx

A:

Q: Evaluate: (4) S esc" (a) (2x +1) dx C6) Syos y dy

A:

Q: 7rebz dx = 2 Your answer should be in exact form.)

A: Given integral to evaluate ∫-227xe6xdx This can be integrated using the rule ∫u·vdx=u∫vdx-∫u'∫vdxdx

Q: d 2. What is 4sinx ? dx

A: We will solve the problem

Q: Evaluate. (Be sure to check by differentiating!) 9 dx, x+ - 9+4x

A: ∫1xdx=ln(x)+C

Q: 5 ex dx e2x

A: Given: ∫5-exe2xdx

Q: integrate the folowing expression. +2)* (6x°dx)

A: To integrate:∫x6+24· 6x5dx

Q: 3 dx o v9 – x²

A: We know that,  ∫dxa2-x2=sin-1xa+C ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying…

Q: dy 9x2 + 5 dx ,2

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Q: 7x dx 19. (1 – x²)3

A:

Q: Using an appropriate substitution, i) Evaluate fx*(1-x)³ dx. ii) Show that dx = + In 2 . (x-1)3 8

A:

Q: d 2r = 2 . 3x² . In 2 3. dx

A: Given, ddx2x3

Q: dx 9. (4-x²)3/2

A: Solution 9.∫dx(4-x2)32

Q: dx Evaluate 34 N2 + 3x - 2x

A:

Q: x2 x³ + 8 to dx. Evaluate

A: Given: ∫1∞x2x3+8dx

Q: 2.1-dx 3.J12x³dx

A: Here we use formula of integration.

Q: 1 dx 5х-7

A:

Q: rtan can-(cotx), dy dx: 10n a. 44 b. 157 44 20n с. 44 2. d.

A: As per our guidelines we need to solve only one question. Please, repost the reamaining questions as…

Q: Prove that..

A:

Q: Find dx2 Given: -2xy – 2y² = 1

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Q: 2x + 2 dx. Evaluate :[ sin" W4x² + 8x+ 13

A: We will solve the problem

Q: day Find In(2x) y =[cosh cl)]

A:

Q: 2x dx Using an appropriate substitution, evaluate: (A 4

A: Assume 2x= t then convert the given integral into t . Use integral formulae to evaluate integral.

Q: 5x 2 Evaluate: ²3x²dz dy dx 2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Vsin² 2x dx =?

A: Given ∫02πsin2 (2x) dx Remember sin2 (2x) is always positive. Thus, sin2 (2x) should be positive for…

Q: Evaluate 12 xsin'x dx V1-x?

A:

Q: SP dx * if y = In [(2x³ + 7)(9x – 2x²)]* Find

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.