Evaluate the following integrals: 1 = fx'e* dx 1. I

Q: Evaluate the integral.

A:

Q: Evaluate the integral 2x dx x – 6 ILO fer th

A: SOLUTION-

Q: Calculate the integral of 43) °dx.

A:

Q: Evaluate the indefinite integral, ſx² sinh x³ dx.

A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

Q: evaluate the given integral.

A:

Q: xarctanx dx

A: Product Rule of integration : ∫u.v dx = u∫vdx - ∫(dudx∫v dx)dx darc tanxdx = 11+x2 ∫ xn dx =…

Q: Consider the integral (In(x))° dx:

A:

Q: 52. Use Property 8 to estimate the value of the integral 1 dx Jo 1 + x2

A: Given: Integration 0 to 2 of (1/1+x^2).dx

Q: Use Property 8 to estimate the value of the integral.

A:

Q: Evaluate the following integrals using integration by parts.

A: The given integral is: ∫24y lnydy To solve this integral, apply the integration by parts formula: ∫u…

Q: Evaluate the integrals using integration by parts. ∫ ln (x + 1) dx

A:

Q: Evaluate the improper integral: e-X dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: dx V1– 18x?

A: To evaluate the given integral.

Q: Use Property 8 to estimate the value of the integral.

A: Given:

Q: 10x Selar. 20x dx 1- °

A:

Q: Consider the indefinite integral 4 dx

A: Given,           ∫44+exdx

Q: Evaluate the integral in terms of Beta function: x23 (1– ) dx OB (25, 5) OB (23, 3) OB (24, 4) OB…

A:

Q: evaluate the definity integral  from -10 to 10  (2 - x)dx

A:

Q: Evaluate the integrals by using a substitution priorto integration by parts. ∫ln (x + x2) dx

A:

Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: %3D a +32 dx x + 2

A:

Q: Evaluate the integral by reversing the order of integration e dxdy

A:

Q: use the trapeziodal and semson rule to approximate the following integrals

A:

Q: In x dx

A: The given integral is ∫-11lnxdx  If f(x) is continuous on [a, ∞) then the improper integral is…

Q: Find the definite integral of So (Va + va)° dx

A:

Q: Consider dx. What will be the appropriate solution and answer to this improper integral?

A: Here we have to find the appropriate solution and answer to this improper integral∫-∞1xe-x2dx

Q: Evaluate the following integral using integration by parts. In 6 хеX dx

A:

Q: Find the Indefinite Integral by making a change of varlab of Integration.) dx

A: Given: I=∫xx-6dx    ....1 Let, u=x-6⇒x=u+6 Now differentiate on both sides with respect to x.…

Q: Calculate the value of the following integrals

A: The given integral is, ∫x3-x2+1x3+1dx This can be written as,…

Q: 4. Calculate the integral, f 4e" sinh x dx.

A:

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. 42) | 7 dx 1+X

A:

Q: Evaluate the following integrals using either integration by substitution or integration by parts:

A:

Q: Evaluate the improper integral or state that it diverges. dx

A:

Q: Evaluate the integrals using integration by parts. ∫p4e-p dp

A: ∫p4e-p dp

Q: Evaluate the definite integral using integration by parts.

A: Recall the following fact.

Q: Evaluate the definity integral  from 0-4 (x-3)(x-5)dx

A: Evaluate the integral ∫04x-3x-5 dx.

Q: Evaluate the integrals by using a substitution priorto integration by parts. ∫x√(1 - x) dx

A: Here given as I=∫x1-xdx let  1-x = t Thus -dx=dt

Q: Evaluate the integrals by using a substitution priorto integration by parts. ∫sin (ln x) dx

A: Given: I=∫sinlnxdx for evaluating given integral, we substitute lnx=t…

Q: Evaluate the integral using tabular integration by parts. (2 x² – x +3) e +C -

A: We can evaluate the given integral by the tabular integration by parts method.

Q: Ssin 2xcos 2xdx

A: We have to find the integral.

Q: Consider the indefinite integral Va" – 1 dx:

A:

Q: 1. Use the table of integrals to integrate the followin a) S sin ) s in () dt

A:

Q: Evaluate the following definite integral by using the method of integration by parts. x In(x) dx

A:

Q: dx V1-x -1

A:

Q: ) dx

A:

Q: 3. x+1 dx

A: let I=∫5x32x+1dxput 2x+1=u2x=u-1x=(u-1)2and  2x+1=udifferentiate w.r.t.…

Q: Determine the following indefinite integral. S ex 400-e2x dx, x> In 20

A: Given, ∫ex400-e2xdx

Q: Evaluate the following indefinite integral: - Va)² dx Integral =

A:

Q: Evaluate the following improper integral: dx.

A:

Q: Evaluate the integrals using integration by parts. ∫θ cos πθ dθ

A: Given: ∫θcosπθdθ

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.