y = x"^, x > 0 Inx-1 Inx Inx C. y'= 2lnx x' „Inx-1 D. y'= 2lnx x" „Inx-1 A. y'= x B. y'= 2 x'

Q: A coat of paint of thickness 0.02 cm is to be applied uniformly to the faces of a cube of edge 21…

A: We know that,

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: The volume of the cylindrical shell is given by V=2πrh∆r, where ∆r is the thickness of the shell.…

Q: 4 Inx b) Evaluate x'dydx by first reversing the order of integration.

A: Solution Given ∫04∫0ln xx2dy dxwe need to evaluate by first revesing the oder of integration

Q: Find the indefinite integral. (Use C for the constant of integration.) 8 – ex e3x

A: Given that: ∫8-exe3x.dx

Q: integral of (xe^(-3x))dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sech8 x tanh x dx

A: See the details solution below

Q: Find the indefinite integral. (Use C for the constant of integration.) 5x + 6 dx

A:

Q: Estimate (2x – 5) dx using right endpoints for n = 3 approximating rectangles. (2x – 5) dx is…

A: We have to estimate the , ∫15(2x-5)dx using right end points for n=3

Q: 6) dx X 3 Type 2 mproper integral 1-

A: We use Type II improper integral  Here at x=0 f(x) is discontinuous so we break the limit at x=0 If…

Q: y1, y2,.., y10 be a random sample from an exponential pdf with unknown parameter A. Find the form of…

A:

Q: Use differentials to approximate the increase in the area of a soap bubble when its volume increases…

A: Let the radius of the soap bubble be a cm, then the volume of the soap bubble is: V=43πr3        And…

Q: Calculate the indefinite integral: ∫ sec2 x dx

A: Integration is the process of finding the anti-derivative function of a given function. The…

Q: For a given triangle, side y is measured as 10 cm, the horizontal side x as 20 cm and the included…

A: Concept: Estimating error using differentials: ∂A=∂A∂a∂a+∂A∂b∂b+∂A∂θ∂θ Here A is the area of the…

Q: integral from 0 to 1 of square root of (2x - x^2) dx

A: Given, ∫012x-x2dx  We have to evaluate it..

Q: Find integration from 0 to π/4  √(secx) tanx dx

A:

Q: valuate the indefinite integral. +V2x dx 3x

A:

Q: Find the area of the surface formed by revolving y = x³ on 0 < x<1 around the x-axis. Show all steps…

A:

Q: 6° Szx dx t yay where L cs parabol y=-x(x-) arc

A:

Q: (x² cosh(sin(x-y))= intx-vn) = X' dy 9.

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) Vtan(7x) sec2(7x) dx

A:

Q: Integral of dx/√8x-x^2

A: Given,            Integral of dx/8x-x2

Q: 2. se integration by pacts to eval integralig x² In (3x)dx niz

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 8x3 + x2 X dx

A:

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: Solution.

Q: E^tan(9x) sec^2(9x) dx

A: Consider ∫ etan 9xsec2 9x dx. Put t=tan 9x. Now dtdx=9sec2 9x⇒sec2 9x dx=dt9

Q: 2.2 (e-x* + 1) dx 0.5

A: Topic-integration

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: To find out the relative error in the lateral surface area of the cylinder.

Q: Find the indefinite integral. (Use C for the constant of integration.) |Vtan(8x) sec²(8x) dx

A:

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A:

Q: integral from 0 to 1 of square root of (1- square root of x) dx

A:

Q: Integral of sinh(e^lnarccot3x)dx/(1+9x^2)

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 6x + 3 dx

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the indefinite integral. (Use C for the constant of integration.) | cosh(5x) dx

A:

Q: Suppose a metal rod has length 20 cm and diameter 6 cm. If it is to be insulated, except for the…

A: Given: length,h=20 cmd=6 cmdr=0.001dV=?

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: 1. The edge of a cube was found to be 32 cm with a possible error in measurement of 0.1 cm. Use…

A: Given : Measurement of edge of cube a = 32 cm Possible error in measurement of edge is da = 0.1 cm…

Q: One of the correct steps to evaluate x2Inx dx to yield the correct integral

A: Our Aim is to identify the correct step to evaluate ∫x2 ln (x) dx to yieldthe correct integral.

Q: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.2 cm. Use…

A: The given data is: Edge of the cube x=15 cmPossible error dx=0.2 cm

Q: Find the indefinite integral. (Use C for the constant of integration.) sech6 x tanh x dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (15. (15x38x) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) cosh(8x) dx

A: We have to find the indefinite integral ∫cosh8x dx.

Q: integral In x 2 dx

A:

Q: Uje differential to estimate V32.02 correct to 4 decimai places.

A: Given : 5√(32.02)

Q: Find the indefinite integral. (Use C for the constant of integration.) 10 dx 20x - x

A: Given,            ∫1020x - x2 dx

Q: Find the indefinite integral. (Use C for the constant of integration.) 7 - ex dx

A:

Q: Make Detailed solution TECHNIQUES OF INTEGRATION

A:

Q: valuate the definite integral: 4 x* — 2ух + 2 - -dx. x2

A:

Q: integral In(2x +1) dx

A: Given To Evaluate ∫ln(2x+1)dx