Determine the following integrals by using (IF) S(sech?(cosh30)sinhg do

Q: Use a Table of Integrals to evaluate the integral. sin(3x)dx

A: To evaluate: ∫e6xsin3xdx Let, I=∫e6xsin3xdx Integration by parts states that…

Q: Evaluate the following integral coshx- sinhx dx coshx+ sinhx Select one: sinhx- coshx +C sinhx+coshx…

A: Answer : ⇒-e-x+C

Q: Evaluate the following integrals Sఊ dx ユーメ~arc Sinx

A: d(arc sin(x))dx=11-x2 ∫1xdx = ln(x)+C

Q: What is the integrand in the following definite integral? 9. du

A: ∫798u2du

Q: Evaluate the definite integral

A:

Q: Evaluate the following integral by using an appropriate method. tan5 sec4 dx

A: Here we have to find the value of  given integral. We solve this by using substitution method.

Q: Evaluate the following definite integral.

A: x3ex4 is derrivative of ex44  Hence,  ∫02x3ex4dx  = ex4402  = e16-e04

Q: Find the indefinite integral.

A: According to power rule of integration .

Q: Use a table of integrals to find the indefinite integral ∫cot4 θ dθ

A:

Q: Find the indefinite integral by using the appropriate   formula. ∫x3e2x dx

A:

Q: What is the integral of cosh4x*sinh5x?

A:

Q: Find the indefinite integral using the substitution x = 5 sec θ.

A:

Q: Find the definite integral. xp

A: Given integral: ∫e-1edx Recall the formula ∫xdx=xn+1n+1+cWhere, c is contant…

Q: Evaluate the integral of the following sin42xcos³2x dx

A: We will evaluate the integral.

Q: Evaluate the following integral. - cosh x dx 2. sinhx- sinh x

A:

Q: Evaluate the following integrals.

A: Given: I=∫sin4x2dx we know that 1-cosθ2=sin2θ2 so, putting  sin2x2=1-cosx2

Q: Find the indefinite integral by using the substitution x = 9 tan(0).

A:

Q: Evaluate Integral. integral pi/6 to pi sintheta dtheta

A: We have to evaluate, ∫ππ6sinθdθ

Q: Determine the following indefinite integral.

A: We have to determine the indefinite integral: ∫x5-3xdx

Q: Evdluate the following integral, S Sin3xcosxdx

A: Use the method of substitution and solve the integration.

Q: Evaluate the integral ∫sinhxcosh(−x)dx.

A: Given integral:

Q: 1 dx (sinhx+coshx)²

A:

Q: Find the indefinite integral. sin 70 Vdos ve de COS 70

A: The given integral is ∫sin3(7θ)cos(7θ)dθ

Q: The area of a circle of radius √5 can be calculated using which of the following integrals? select…

A: Given: r=5

Q: Evaluate the definite integral by interpreting it in terms of areas. | (2x – 16)dx

A:

Q: Evaluate the following integral using trigonometric substitution. 12-9 (x, x>3

A:

Q: Evaluate the integral.

A:

Q: Find the following definite, improper, integrals.

A:

Q: use the Change of Variables Formula to evaluate the definite integral.

A:

Q: Find the following integral:

A: Given,

Q: Evaluate the following definite integral: '(음) dz=Number 49 8

A:

Q: Find the indefinite integral using the substitution x = 4 sin θ.

A:

Q: Find the indefinite integral ∫coshx/sinhx  dx

A:

Q: Find the indefinite integral by usi Integration by parts formula: 5

A: ∫ x5lnxdx

Q: 7/2 tan x dx 0,

A: We need to evaluate the integral:∫0π2tanx dx

Q: Evaluate the definite integral, to 4 decimal places. [² √2x + 7dx

A:

Q: Evaluate the integral using the formulas in the summary and Eq. (1).

A:

Q: (12 3 sec* 3xdx 15.

A:

Q: Use a table of integrals to find the indefinite integral ∫arccot(4x − 5) dx

A: To evaluate the indefinite integral , ∫cot-14x-5dx Solution: Let us substitute 4x-5=t ,…

Q: use the Change of Variables Formula to evaluate the definite integral.

A:

Q: Determine the following indefinite integral.

A: We have to determine the indefinite integral: ∫2e2x+exexdx Separating each terms of the rational…

Q: 12. Jao

A:

Q: Evaluate the indefinite integral by using by part technic [4xe ** dx

A:

Q: Evaluate the following integrals.

A: Our Aim is to integrate the following:-∫tan-1 (x3) dx

Q: Evaluate the following indefinite integrals using integration by trigonometric substitution.…

A:

Q: Evaluate the following indefinite integral. (6/square root x + 6 square root x)

A:

Q: Evaluate the integral sinh? (2x)cosh (2x) cx .

A: Let's find.

Q: -32 1 ย X

A:

Q: Evaluate the definite integral. 1 cosh24x sinh 4x dx

A: Note that the following results are to be used for the given question: (i) sinh x=ex-e-x2 (ii) cosh…

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.