Evaluate the definite integral S (1+ 2x) dx using Riemann sum.

Q: f r cos(x')dx

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Q: Find the indefinite integral. Vx +2 -dp- 3 X,

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Q: Evaluate the indefinite integral 2 sin°(s) s cos sds

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Q: determine whether the improper integral converges and, if so, evaluate it.

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Q: 2. Compute the indefinite integral xe dx

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Q: Determine whether the improper integral converges and, if so, evaluate it.

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Q: compute the definite integral.

A: ∫1elnx dxx2

Q: Evaluate the definite integral.

A:

Q: 9. Find the integral, using u substituti x-(1-3x²)*dx a.

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Determine whether the improper integral converges. If so, evaluate it. 6 dx (x-5)3/2 5

A: Here we have,

Q: g integral. dx

A: Given query is to find the value of the integral.

Q: Evaluate the integral from -n/2 to +t/2 of x² sin x.

A: Given integral

Q: | V5x-4 dx

A:

Q: determine whether the improper integral converges and, if so, evaluate it.

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Q: Determine whether the improper integral converges and, if so, evaluate it.

A: We can write it as: ∫05x-2019dx The given integral is improper because the integrand is undefined at…

Q: Evaluate the improper integral 1 dx x - 1

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Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it converges

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Q: determine whether the improper integral converges and, if so, evaluate it.

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Q: compute the definite integral.

A: Our Aim is to compute the definite integral given below:-∫12 x ln (x) dx-(i)

Q: Determine whether the improper integral diverges or converges. dx 1.co (2x-1)* 00 dx 2. x +1

A: To check weather the given Integral is converges or diverges.

Q: Compute this improper integral showing all steps.  integral of (x/(x^4)+9) dx from 0 to infinity.

A: please refer to the image below

Q: determine whether the improper integral converges and, if so, evaluate it.

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Q: Determine whether the improper integral converges or diverges

A: Given integral is, ∫0∞x4e-xdx

Q: Determine whether the improper integral converges and, if so, evaluate it.

A: ∫1∞dxx20/19

Q: set up an integral ....bounds x=3pi/4 x=-pi/4 y=-sinx and y=-cosx

A: GRAPH

Q: determine whether the improper integral converges and, if so, evaluate it.

A: To evaluate:

Q: +o dx So J10 x

A:

Q: Determine whether the improper integral converges and, if so, evaluate it.

A: ∫56dxx-532 On integrating, we get ∫56dxx-532=∫56x-5-32…

Q: Determine whether the integral is convergent or divergent. 0. el/x 5 dx .3 -1

A: The given integral is is convergent , since the function inside the integral is continuous on the…

Q: Determine the following indefinite integral.

A: The given indefinite integral is: ∫1x2-2x52dx Now, use the exponent property 1xn=x-n . ∫x-2-2x-52dx…

Q: determine whether the improper integral converges and, if so, evaluate it.

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Q: Evaluate the indefinite integral.

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Q: Evaluate the following integral using the summation rules. (6 + 6x – x²)dx -

A: Given- ∫096+6x-x2dx To find-  The value of the integral using summation rule. Formula used-…

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it converges

A: Given: ∫0∞1ex+e-xdx To determine: Whether the improper integral diverges or converges.

Q: Use the Fundamental Theorem to calculate the definite integrals. 2 1 dx x+2 -1

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Q: Find the general indefinite integral.   ∫ (x2+  x-2)    dx

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Q: The undefined integral of the function [1+ cos x} power -1 is *

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Q: Evaluate the indefinite integral. V6 + x°dx + C

A: Evaluate ∫x56+x6dx

Q: Determine the following indefinite integral. dx 12 1- dx = X

A: ∫1xdx= ln(x)+C ∫xn dx =xn+1n+1+C

Q: t3 et" dt

A: Given, ∫t3e-t4dt We have to evaluate the indefinite integral.

Q: determine whether the improper integral converges and, if so, evaluate it.

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Q: 20. -dx -1 1+ x² x+I

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Q: Evaluate if the integral converges 1. 1. dx (x-1)7 , sin x dx 3. dx 2.

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Q: Compute the definite integral 2 dx Vx² + 4

A: First, we need to compute ∫xx2+4dx

Q: Evaluate the definite integral: 1/5 dx 1-x2

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Q: determine whether the improper integral converges and, if so, evaluate it.

A: Write the integrand as exponent of x

Q: determine whether the improper integral converges and, if so, evaluate it.

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Q: Calculate the following indefinite integrals. V-2

A: Given,          ∫x-2xdx

Q: Find the general indefinite integral.   ∫ (√ x3+  3√ x2)    dx

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Q: Find the indefinite integral r 2(In(x))³ dx .

A: In some cases an indefinite integral can be simplified to a standard integral using an appropriate…

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.