2-V1-x dx by interpreting the integral in terms of area. -

Q: Express the integral in terms of the variable u, but do not evaluate it. In x -dx; u = Inx e3 rel4…

A:

Q: Evaluate the integral by interpreting it in terms of area. integral -3 to 0(1+(9-x^2)^1/2)dx

A: Let us assume y=1+(9-x2)12 y-1=(9-x2)12(y-1)2=9-x2x2+(y-1)2=9This is an equation of a circle with…

Q: Evaluate the integral. integral    (  x 2 -x +6  )/ (x 3 + 3x) dx

A:

Q: By using double integrals find the area between x = – y², lines y = x – 4, y = -2 and y = 2.

A:

Q: Evaluate the integral using Algebraic Sub. Vax dx Vx -

A:

Q: Use integration by parts to evaluate the integral: fam -1 xdx

A:

Q: evaluate the incdesinite integral -5x+3)dx

A: See the details solution below

Q: Evaluate the integrals using integration by parts. ∫x sec2 x dx

A:

Q: |x| dx 1 X V1– x² -1

A:

Q: |x| 1 dx -1

A:

Q: 2 B. Evaluate | (2- x) dx by interpreting the integral in terms of area. -1

A: Topic = Integration

Q: Evaluate the indefinite integral. dx xV 25 – x2 -

A:

Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

A:

Q: What is the integral of x2(2-x)^(1/3) dx on the interval [1,2]?

A:

Q: x2 dx 3 (9- х2)2

A: sin(x)=1-cos2(x) tan2(x)=sec2(x)-1 ddxsin(x)=cos(x)

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv: -9x In(2)…

A:

Q: Evaluate integral of dx/x+2 from -6to-10

A: Given , To Evaluate the integral of dx / x+2 from -6 to -10

Q: Evaluate the integrals using integration by parts. ∫(x2 - 5x)ex dx

A:

Q: 3 4 Sx-3 dx x2+8x+41 (x+2)2 x2+9

A: Given,          ∫2x-3+3x+22+4x2+9+5x2+8x+41dx

Q: evaluate the integral from 0 to sqrt(2) x2/(4-x2)3/2 dx

A:

Q: Use the properties of integrals to evaluate integral 0 to 1 (4+3x2 ) dx

A: Given: I=∫014+3x2dx for evaluating given integral, first we separate terms then integrate it

Q: 5 .Use the definition of the integral to evaluate | (2x - 3)dx

A:

Q: Find the integral of (x)(arctan x) dx,

A: Given: evaluate

Q: Why does Hm have minus x in front of it. How did they do integral?

A: Both the questions are explained in step 2.

Q: Evaluate the integral. inegral x4 /(x-1) dx

A: Given: ∫x4x-1dx

Q: Find the indefinit integral of (3-2x)2 dx

A: Given ∫3-2x2 dx

Q: What is the indefinite integral of (2/(x(x-2)^2))dx?

A: Use partial decomposition method.

Q: Evaluate the integral.

A:

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of | (x2 -…

A:

Q: Evaluate x dx from the definition of RS-integral.

A:

Q: Use integration by parts to evaluate the integral. 2x In(4x) dx +C

A:

Q: Evaluate the integral using integration by parts where possible. x In(8x)dx

A: Given: ∫12 x ln(8x) dx To find: Value of the integral.

Q: Evaluate the integral ex dx.

A:

Q: .2 32. 8x dx, x > 8 -

A:

Q: (a) Interpret | V1- (x – 1)² dx as an area and calculate the integral without integrat- ing.

A: Interprete the area mentioned by using the graph and calculate the area directly without using the…

Q: What is the integral of (4-x^2)/(x(x^2-4)) dx?

A:

Q: 4 CSC x dx 4.

A: The formula for the substitution method for definite integrals is given by…

Q: -1Vx X. dx Vx cos

A:

Q: Evaluate the integral by interpreting it in terms of areas. V 25 - x2 ) dx

A: Given that, The integration is the following, I = ∫-50(4+25-x2)dx We have to find the value of this…

Q: et dz V1-e2x

A: Given problem:-

Q: Use integration by substitution and/or by parts to compute the integral Jx In (5 +x)dx .

A:

Q: Integrak of: x(x + 7)^15 dx

A:

Q: Use any method to evaluate the integrals ∫ x4 - 1/x5 - 5x + 1 dx

A:

Q: Use Property 8 of integrals to estimate the value of the integral. ∫20(x3-3x+3)dx.

A:

Q: dx V1-x -1

A:

Q: Evaluate the integral using appropriate substitution ∫(x^2 +1)/(√(x^3 +3x))dx

A: Given an integral: ∫x2+1x3+3xdx Let, x3+3x=t t=x3+3xdt=3x2+3dxdt=3x2+1dxdt3=x2+1dx Substitute value…

Q: Evaluate (x + 3) V16 - x2 dx by writing it as a sum of two integrals and interpreting one of those…

A:

Q: 3+ In(2x) dx 00 X-1 1

A:

Q: Using integration by parts, the integral f In(8x2) dx is equal to:

A:

Q: Use integration by parts to evaluate the integral. | (In(3x))*dæ- 8, +C

A: The given integral is ∫(ln(3x))2dx. Let  3x=u. Differentiate both sides.    3dx=du⇒dx=13du…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.