2) Find the area of the region bounded by y = sin x and below by y = cos x from x =- to x = 5n/4. Specify the area bounded in a graph.

Q: Find the area of the shaded region of the graph of r=1+sin (0)

A: To find → area of the shaded region of the of the graphπ = 1 + sinθ

Q: Find the area inside the 'figure eight'r = 1+ cos 20 and outside the circle r = 1.

A: Area inside r = 1 + cos2θ and outside r = 1 is shown by shaded region.

Q: find the Curve A the region enclosed by ye Sin (ITx/2) and the the area line

A:

Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Find the areg between Ye CosX an d y--SinX trom o tr .

A:

Q: Graph and Find the area of the region(s) enclosed by y 1+ sin x, y = 1- sinx, and -x

A:

Q: Find the area of the region inside 2 petals of the rose r = sin 80

A: Solution :-

Q: Find the area between the curves defined by f(y) = y²+ 1, g(v) = 0, y = -1, y = 2

A:

Q: Determine area under curves y = x2 + 3 and y = 7 - 3x. Show with sketch

A: Topic = Application of integration

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.