Find the area of a triangle bounded by lines y=2x and x=1 by single integration

Q: sketch the described regions of integration. 0 ≤ x ≤ 3, 0 ≤ y ≤ 2x

A:

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 Integration of: fn (3sint + esin t) cost dt In 3

A: Given that, ⇒                   y =∫π2π( 3sint +esint) costln3dt⇒                     find the value…

Q: Use order of h® Romberg integration to evaluate xe2x dx

A:

Q: sketch the described regions of integration. 0≤y ≤ 8, 1/4 y≤ x ≤ y1/3

A:

Q: What value of b > -1 maximizes the integral function

A: Given,

Q: sketch the described regions of integration.0 ≤ y ≤ 1, 0 ≤ x ≤ sin-1 y

A: Given: 0≤y≤1 0≤x≤sin-1y

Q: In x x dx

A:

Q: Find the area of the region by bounded by y = 4x and y = 2x – 4 by integrating with respect to y.…

A:

Q: sketch the described regions of integration. 0 ≤ x ≤ 1, ex ≤ y ≤ e

A: Given, 0 ≤ x ≤ 1 and  ex ≤ y ≤ e

Q: By iterated integration, find the area bounded by the parabola y2 = 4ax and its latus rectum.

A:

Q: Find the area bounded by the ff. curves and lines: a. arch of y =(1/3)sin(x/3)

A: Consider  the equation

Q: Q4A) Find area bounded by y = 0.y = √2x-x² using double integration.

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: Find the area of the region in the first quadrant bounded by the curve (x + 2)² y = 4 – x. [Use the…

A: Given that: (x+2)2y=4-x

Q: Please use excel. Determine the approximate integration using simple and modified trapezoidal, 1/3…

A: simple Trapezoidal rule : The trapezoidal rule works by approximating the region under the graph of…

Q: π Find the area of the region enclosed by y = sin¯¹(x), y = and the y-axis without using integration…

A:

Q: lo calculate S dx 3x2 - 2 integration by parts is the best integration technique to use. True False

A: The given question contains an integral that we have to solve . The question consists of terms of x…

Q: Find the area bounded by the curve 2x2 + 4x + y – 0 and the line y + x = 0

A: To find the area of region bounded by the given curves.

Q: Find the area bounded by the ,3 curves y = x°, y= 1, and x using double integration.

A:

Q: 3. Use properties of integration to evaluate S, x³Vx* + 5dx. If necessary, round your answer to four…

A: Given : ∫12x3x4+5dx   The Answer:   13.5895

Q: Find the area of the region between the curve y = 3 - x2 and the line y = -1 by integrating with…

A:

Q: sketch the region of integration and evaluate the integral.

A:

Q: Find the points of discontinuity of the integrand on the interval of integration, and use area to…

A: The integral is discontinues where the function is not defined

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

A: Given ∫3-2x2 dx

Q: Sketch the region of integration described by 2x cos(x) dy dx, write an equivalent integral (or…

A: When we integrate a function with two variables over a rectangular region, the conception of double…

Q: Determine the approximate integration using simple & modified trapezoidal, 1/3 Simpson's and3/8…

A: ∫13e0.5x + sin2x dx, use n = 4a = 1, b = 3so, h = b - an = 3 - 14 = 0.5            xo        xo +…

Q: Sketch the area bounded by x^2 + 2y = 4 and x + y + 2 = 0 on the image below and determine its area…

A: Sketch the bounded region.

Q: sketch the described regions of integration. 1 ≤x ≤ e2, 0≤ y ≤ ln x

A: Given  1 ≤x ≤e2 , 0≤ y ≤ ln x

Q: Find the area bounded by axes and line 7x + 5y = 35 using any differential strip

A: Explained  below...

Q: Express f, 4xyz dV , where E = [0,1] × [0,2] × [0,3] by using different orders of integration. Hence…

A: To find the value of the integral

Q: Find the area between the curve x = y2 and the line x = y + 2 Solution : * with respect to x:

A: Given curves x=y2. . . . 1x=y+2. . . . .2 Equating (1) and (2) y2=y+2y2-y-2=0y-2y+1=0y=2,-1

Q: Use the method of integration by parts to find: In x dx u dv

A:

Q: Зх-2 dx%3D V2x+3

A: We need to evaluate the following integral I = ∫3x-22x+3dx                            ........1

Q: Find the area under the loop of the curve y2=x4(x+4) using integration

A: An integration formula for calculating the area under the curve will be used. We will calculate the…

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. ∫ x sec2 x…

A: Consider the given integration as ∫xsec2xdx

Q: [xt xtan xdx

A:

Q: Find the area between y = 1.2x + 2 and y = x² – 4. Round your limits of integration and answer to 2…

A: Let fx=1.2x+2 and gx=x2-4. To identify the region between f(x) and g(x),  solve that two equations…

Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.  show full solution

A:

Q: sketch the described regions of integration. -1 ≤ x ≤2, x - 1≤ y ≤ x2

A:

Q: Find the limits of integration with respect to u and v

A:

Q: Find the area of the region by bounded by y 4x and y = 2x – 4 by integrating with respect to y. The…

A: given curve y2 =4x and y=2x-4

Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.  Show full complete solution.

A: Given : Curve : y²= 4x              and line  2x+y=4 To find : Area between the curve and line

Q: Using tabular integration, the integral In 2 S™ (-2x + 1)e²x dx is equal to

A:

Q: Sketch the region in the first quadrant bounded by the curve x+y2=4, and find its area first by…

A: To graph the function, solve the given equation for y. Since the region is in the first quadrant,…

Q: ⌠13(e0.5x+sin2x)dx, use n=4

A: We will answer the first question as you didn't mention any. Please resubmit the other question…

Q: By using trapezoidal rule for integration find J=Jo' sin' (1/x) dx. n-12

A: The given function is: J=∫07sin31xdx, n=12

Q: Find the area of the region enclosed by the curve y = 4x – x² and the line y = x using double…

A:

Q: 4) First make a substitution and then use integration by parts to evaluate the integral. (Use C for…

A: