3. Find the area of the region bounded by the curves x= tan y and x=-t -tan' y, -< ys

Q: /Find the area under the curve y = sin x cos 2x from x=0 to x =-

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: (13) Find the area of the region between the line y = 2x and the curve y =x² +x-2 %3D

A: The given two curves are y = 2x y = x2 + x - 2

Q: Find the area of the region bounded by the graphs of the equations y = sin.x, y = sin³ x, x = 0, and…

A: Given :  y = sinx ,  y = sin³x,  x = 0, and x = π/2

Q: y = ln x and x - y -4 = 0

A: Explanation of the answer is as follows

Q: 29) Find the area bounded by the curves y= In x, y = 2 In x and line x-e in the first quadrant.

A: I have given the answer in the next step. Hope you understand that

Q: Find the area between the curves y = 4 cos(6x),    y = 4 sin(12x),    x = 0,    x = π/12

A: Given,

Q: 1. Find the area of the region bounded from the right by the curve x = 4 – y? , from the left by the…

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: 12) Find the area of the region between the curve y = 22-X and the interval 0 < x < 2 on the х-ахis.

A:

Q: Find the area of the region bounded by the two curves x = sin2y and x = cos2y from y to y = n 8

A:

Q: 2. Find the area between the curve y=-x and y+x²= 2x.

A: The given curves are y=-x and y=2x-x2.

Q: 4. Find the area bounded by the curves y = 2x – x2 and the x-axis

A:

Q: Find the area under 3 sin(x) and above y = 3 cos(x) for 0 < x < T. that this area may not be defined…

A:

Q: 4) Find the area of the region bounded by the curves y = 2x, y = sin x, x = 0, and a = Make 2 sure…

A:

Q: Find the area of the region between the curves y = x x-1 and y =-2x+2 from x = - 1 to x= 1.

A:

Q: 1. Find the area of the region between the curves y=x -4 and y=2-x.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Find the area of the region under the given curve from 1 to 6. x2 + 6 y = 7x — х2

A:

Q: Find the area of the region bounded by the curves: y= cos x, y=sin4x, x=0, x=pi/2

A:

Q: 1. Find the area of the region enclosed by the line x = 2y and the curve x = y - y?

A: We will find out the required area.

Q: Find the area between the curves y = cos(x) and y = sin(x)  from x = -3π/4 to x = π/4. Draw the…

A: To find the area between the curves.

Q: Find the area of the region bounded by the curves: y = cos(nx) and y = -1 + 4x2

A: The region between these two curves is shaded below

Q: Find the area of the region that lies between the curves y = sec x and y = tan x from x = 0 to x =…

A:

Q: 7 – Find the area of the region between the curves y = = cosx and y = sinx from x = 0 to x = 5" 4

A:

Q: 1. Find the area of the region bounded by the curves y = x2 – 3x + 5 and y = 3x + 5.

A: Answer and explanation is given below.. For solution of other questions please repost

Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line (y…

A:

Q: Find the area under y = 2 sin(x) + 2 cos(x) and above the x-axis from x = 0 to x = Tt/2. Leave your…

A: The given function is,

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: Find the area of the region that lies between the curves y = sec x and y = tan x from x = 0 to x =…

A: We need to find the area of the region that lies between the curves y = sec x andy = tan x from x =…

Q: 4. Find the area of the region bounded by the curves x-y² = 0 and x+2y² = 6.

A: Hence, the area of the region bounded by the curves x-y2=0 and x+2y2=6 is 82 square units .

Q: Find the area of the region bounded by the curves: y = cos(nx) and y = -1+ 4x²

A:

Q: 1. Find the area of the region bounded from the right by the curve x = 4 - y2 , from the left by the…

A:

Q: 5 -over the interval [4, 7]. Find the area under the curve y = (3x + 1)? Enter the exact answer.…

A:

Q: 1. Find the total area bounded by the curves y = sin (x), y = cos (x), x = 0, x = n. Graph curves.

A: Given curves are: y=sinxy=cosxx=π So the area between these curves are shown in diagram below: So,…

Q: Find the area under y = 3 cos(x) and above y = 3 sin(x) for T < x < 2n. (Note that this area may not…

A:

Q: Find the area between the curves. y = x2 - 9x + 4 and y = x² + 6 from x = 0 to x = 6

A:

Q: Find the area of the region enclosed by graphs of the functions y=sin(8x) and y=sin(16x),π/24⩽x⩽π/8

A:

Q: Determine the area of the region bounded by the graphs of 1) y = Cos x, y = Sin x in the interal 0,4

A:

Q: Approximate the area under the curve y=f(x) between x=-1 and x=5 using Simpson's rule with n=6…

A:

Q: What is the slope of the curve y = ex at x = ln 2? What is the area of the region bounded bythe…

A: Consider the curves, y=ex,x=ln2 Differentiating with respect to “x” then, dydx=ddxex=exTo  calculate…

Q: Find the area of the region between the curves y=x2-1 and y= - 2x² +2 from x= - 1 to x=1.

A:

Q: Find the area of the region bounded by the curves y = x andy = sin x from x = 0 to x = π.

A: We have to find the area of the region bounded by the curves y = x and y = sin x from x = 0 to x =…

Q: 10. Find the area bounded by 2. Hhe curves y=8x-x²0ind y=3x

A: topic - area bounded by curves

Q: Find the area between the curves. 3x 3x x-0, x-D4, y3D2e" y-e

A:

Q: Find the area above the curve y=Inx in the lower half-plane between x=0 and x=1. YA y=In x 1

A: The correct option is option d. From the curve determine the upper curve , lower curve. and the…

Q: 1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 - y

A:

Q: 3 2. Find the area bounded by the two curves y = x³- 6x² + 8x and y = x² - 4x.

A:

Q: Find the area of the region bounded by the curves: y = cos(nx) and y = -1+4x2

A:

Q: Find the area bounded by the curves y=x4-2x2 and y=-x2+4 at an [-1, 1].

A: The region bounded by the curves y=x4-2x2, y=-x2+4 in [-1,1] is:

Q: 5. Find the area of the region between the functions y= secx and y = tan x from x = 0 to x=- 2

A: The given curves are, y=secxy=tanx The limits are x=0 to x=π2. Then, the area is, I=∫0π2secx-tanxdx…

Q: Find the area of the region between the curves y = sin(nx/2) and y = x. Area between curves =

A: In the question it is asked to calculate the area between two curves y=sin(πx2). and y=x.

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.