1- What are applications of integration? 2- What are logarithmic functions? Calculate the area under the curve of a function, f(x) = 7-x. the limit is given as x -1 to 2.

Q: 7. If f is negative on [-3, 2], is the definite integral f(x) dx positive or negative? What about…

A: It is given that function f is negative on -3,2

Q: Q1- Express of the integral in term of Gamma function and simplify where possible *e-2 dx.

A: Gamma function

Q: Find the indefinite integral∫ ln √x / x dx

A: The given integral is

Q: Evaluate the integrals in Exercise  in terms ofa. inverse hyperbolic functions.b. natural…

A: To evaluate,

Q: On paper, use definite integration to find a formula g(k) (in terms of k) for the area under the…

A:

Q: Evaluate the indefinite integral ∫ t - 6/11 dt. Remember, there are no Product, Quotient, or Chain…

A: Evaluate the indefinite integral ∫ t - 6/11 dt. Remember, there are no Product, Quotient, or Chain…

Q: 1. Let f (x) = ln(-x). a. What is its domain? b. Find and simplify its derivative. How does this…

A: Use differentiation

Q: 10. Evaluate the indefinite integral f x2cosßx dx. Note: B page 10 = a positive constant. [Hint: use…

A:

Q: Consider the graph of the integrand f(x) = 3x on the interval [0, 1]. What well know formula can you…

A: The value of definite integral gives the signed area. This concept is explained in the step 2.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: A curve for which y" = x passes through the point (1, –1) with .3 a slope of . Find the value of…

A: Given- A curve for which  y"=x passes through the point 1,-1 with a slope of 32. To find- The value…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bx5 dx V 6ax + bx6

A:

Q: Evaluate the indefinite integral. (use C for the constant of integration.) (-1) dr (x³-7)7 18(x° -…

A:

Q: NOTE: I is used instead of normal integration symbol. Use integration by parts to evaluate: I ( x5…

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

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xV7 - x2 dx

A:

Q: 2e3 Evaluate 1- eT

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

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ot dx 1 + x20

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) ーx)3(2 - x) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) | In(er - S) de

A: First simplify the expression inside the integral then integrate.

Q: Find the indefinite integral. (Use C for the constant of integration. [₁6√₁7-10 100 dt

A: Let's solve given integral.

Q: 6. Estimate f 2*-1 dx using L,. Is the estimate you get an overestimate or underestimate of the 1…

A:

Q: Find the average value of the given function from x=0 to x=1. Sketch graph of the function, roughly…

A: Average value of a function y=f(x)  from x=a to x=b is given by Aavg=1b-a∫x=ax=bf(x)dxsee below the…

Q: In the integration of x dx/(9 + x^2), what is the appropriate integration formula? * Integration of…

A: Third option is correct.

Q: In this situation, finding the indefinite integral is most easily achieved using the method of…

A: If we choose u=x5-8 dudx=5x4⇒x4dx=du5

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) XV 1 - x2 dx

A: The integral is given by

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: First do partial fraction.∫1x2+a2dx =1atan-1xa + C

Q: Find the indefinite integral. (Use C for the constant of integration.) dx lin + C Need Help? Watch…

A:

Q: Log integrals Use integration by parts to show that for m + -1, f )+c x" Inx dx In x - т +1 m + 1…

A: Given: verify that ∫xmlnxdx=xm+1m+1lnx-1m+1+c, ∫lnxxdx=lnx22+c for evaluating first integral we use…

Q: 6. Use properties of integration and properties of functions to find the exact value of L(x* – 5x² +…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bx5 dx 6ax + bx6

A: Given the following integral:

Q: d the indefinite integral and check the result by differentiation. (Use C for the constant of…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | (ain(x) + 8 sinh(x) -

A:

Q: sinh x tex cosh x + ex In the indefinite Integral Sin(cosh x + ex)- sinh x tex A cosh x + ex sinh x…

A:

Q: evaluate the indefinite integral 3+ -dt. Use C for the constant of integration.

A: Given : ∫3 + 1t61t2dt

Q: Find the areas between the curves y = 2(log2 x)/x and y = 2(log4 x)/x and the x-axis from x = 1 to x…

A: To determine the area between the curves and the x-axis.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (e dx

A: Here we integrate the given function.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dr

A: Follow the procedure given below.

Q: Evaluate the integral -1 dx x² + 16 Note: Use an upper-case "C" for the constant of integration.

A: LetI=∫-1x2+16dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=-∫1x2+16dxI=-∫1x2+42dxPur x=4tany…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1. - eu du (6 - e4)²

A: topic- indefinite integral

Q: 4 dt 1+t2

A: ∫0141+t2 dt

Q: Use integration by parts to evaluate the integral: ∫ln(x)/x^6 dx with upper limit of 4 and lower…

A:

Q: 20. V4 + 3x dx 21. dr

A:

Q: 1- What are applications of integration? 2- What are logarithmic functions? Calculate the area under…

A:

Q: Two methodsa. Evaluate ∫x ln x2 dx using the substitution u = x2 and evaluating ∫ln u du.b. Evaluate…

A: ∫xlnx2 dx a. Put, u=x2⇒dudx=2x⇒du=2x dx⇒du2=x dx Therefore, ∫xlnx2 dx=∫lnu du2=12∫lnu du=12∫lnu·1…

Q: 7. (Integrals involving branches of multiple-valued functions) Show that (In a)? – (In b)2 2(а - b)…

A:

Q: integral of x ln(x+1)

A:

Q: Find the indefinite integral. (Use C for the constant of integration.)   e5x − e2x + 1

A:

Q: 1. Evaluate the integral. (Use C for the constant of integration.) Show ALL work. xp^

A:

Q: 1. A hot metal object is submerged in cold water. The rate at which the object cools (in degrees per…

A: It is given that f(t) is a function of time that tells us about the rate at which the object cools…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x5 dx 1 + x12

A:

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.