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Integrals

Integration Using a Trigonometric Formula : ∫√(1-cos2x)dx

Please evaluate the following integral using basic formulas. Rewrite the integral to match it to a standard formula, and then solve the integral. Then evaluate the answer for the values 0≤x≤pi Please show each step in the problem. Thank you. ∫√(1-cos2x)dx

Viscous Fluid Flow : Viscous Drag on the Walls of a Pipe

For laminar flow in the entrance of to a pipe, as shown in figure, the entrance is uniform u=U0, and the flow downstream is parabolic in profileu(r)=C(r0^2-r^2). Using integrla relations, show that the viscous drag exerted on the pipe walls between 0 and x is... Prescribed text book: White, FM, , Viscous Fluid Flow, 2nd Editi

Integration problems

Can you please provide a detailed explanation of how to evaluate these questions? (See attached file for full problem description)

Simpson's Rule

Question 1: What is the exact value of ∫ 0-->2 x^3 + 3x^2 dx ? Question 2: Find SIMP(n) for n = 2, 4, 100. What is noticeable? ---

Integration by parts

Please evaluate the following integral using the formula for integration by parts, int (udv) = uv - int (vdu) Int z(ln z)²dz

Evaluate the Integral : ∫1/(4-z^2)^3/2 dz

Calculate the integral. If you use software to complete it, explain to me what steps are needed to find the solution, (I can easily input the problem into Maple myself). Please see the attached file for the fully formatted problem. integrate, integration

Complete explanation of integration problems

Solve. Show all the steps. If you use software to complete it, explain to me what steps are needed to find the solution, (I can easily input the problem into Maple myself). integral (1/(cos^4)7x)dx

Integration by parts

In this problem I am asked to use integration by parts utilizing the formula: ∫udv = uv - ∫vdu Please show the values of u, dv, du, and v and the steps to achieve the solution. Thank you. ∫x²sinx dx

Surface Area of a Revolving Curve

Using the formula for the surface area of a revolving curve about the y-axis: S=∫2πx√(1 + (dx/dy)²)dy throughout a,b Find the area of the surface generated by revolving the curve about the y axis within the given boundaries x=√(2y-1) 5/8≤y≤1 the revolving base passes thr

Surface Area of a Revolved Curve

Utilise the following formula that gives the surface area of a curve that revolves around the y-axis: S=∫2πx√(1 + (dx/dy)²)dy throughout c, d Now calculate the area of the surface that would come about by rotating the curve around the y axis with the boundaries below: x = (1/3)y³′² - y ¹&#824

Area between two curves

The area I am looking for is the region bounded by the two functions y=x² and y=2-x between the limits (2,0) and (0,0) and bounded by the x axis and the point y=1 What is the area between these two curves? Using the formula A=∫f(x)-g(x)dx

Riemann Sum Area Between Two Curves

Using the Riemann sum formula: A = ∫ [f(x) - g(x)]dx from a to b Find the area between y=1/2sec²t and y= -4sin²t between the points π∕3 and - π∕3 Please show a detailed solution. Thank you.

Multiple integration

Please see the attached file for the full problem description. --- 1. Transform the given integral in Cartesian coordinates to one in polar coordinates and evaluate the polar integral. : refer to integral 5. 2. Determine the values of the given integrals, where W is the region bounded by the two spheres x^2 + y^2 +

Evaluate the Definite Integrals

∫(pi/2 to 0) sin^4(x) dx -- do not use reduction forumulas use 1-cos2u/2=sin^2x ∫3x^3/sqrt(8-x^2) dx Integrate, integration

Evaluate the Integrals (4 Problems)

Evaluate each of the following integrals: 1. ∫0-->2 6/(5x+2) dx 2. ∫1-->3 e^(-0.4t) dt 3..... 4.... Please see the attached file for the fully formatted problems. Integrate, Integration

Triple integral

F(x,y,z)=y ; W is the region bounded by the plane x+y+z=2, the cylinder x^2 + z^2 = 1, and y=0. Integrate the given function over the indicated region W.

Integral

I have a function (see attached). I need to integrate it over m from - infinity to infinity, h from - infinity to infinity. I need to apply a technique such that the integral takes a simple form, easy for integration. The main problem here as you can see is product of terms in the denominator. ---