Question
The area bounded by y=3x and 
is
- 10
- 5
- 4.5
- 9
Hint:
Integration, as we all know, is the process of determining an area by first dividing it into a number of basic strips and then adding up each one. At this point, we can calculate the area enclosed by a curve and a line connecting a given set of points. Here we have given the curve y=3x and . We have to find the area bounded by the given curve.
The correct answer is: 4.5
We are aware that in a planar lamina, the region inhabited by two-dimensional forms is expressed as an area. Calculus requires that you know the difference between two definite integrals of a function in order to calculate the area between two curves. The definite integral of one function, such as f(x), minus the definite integral of other functions, such as g(x), with the lower and upper bounds as a and b, respectively, is used to define the area between the two curves or functions.
Here we have given the curve as y=3x and .
So now here we can say that using the integration method, the area of the region bounded by the given curves is 4.5. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
Related Questions to study
The area bounded by 
X- axis, x=1 and x=2 is
So now here we can say that using the integration method, the area of the region bounded by the given curve and the lines is 13/3. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
The area bounded by X- axis, x=1 and x=2 is
So now here we can say that using the integration method, the area of the region bounded by the given curve and the lines is 13/3. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
If 
then 
=
If then =
The 
graph shown in the figure represents
The graph shown in the figure represents
For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds
For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds
A particle starts from rest at 
and undergoes an acceleration 
in 
with time 
in second which is as shownWhich one of the following plot represents velocity 
in 
time in second?
A particle starts from rest at and undergoes an acceleration in with time in second which is as shownWhich one of the following plot represents velocity in time in second?
A body is at rest at 
. At , it starts moving in the positive 
-direction with a constant acceleration. At the same instant another body passes through moving in the positive -direction with a constant speed. The position of the first body is given by 
after time ‘’ and that of the second body by 
after the same time interval. Which of the following graphs correctly describes 
as a function of time ‘’
A body is at rest at . At , it starts moving in the positive -direction with a constant acceleration. At the same instant another body passes through moving in the positive -direction with a constant speed. The position of the first body is given by after time ‘’ and that of the second body by after the same time interval. Which of the following graphs correctly describes as a function of time ‘’
General solution of 
is
General solution of is
In the following graph, distance travelled by the body in metres is
In the following graph, distance travelled by the body in metres is
Velocity-time 
graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is
Velocity-time graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is
The value of k such that 
lies in the plane 2x-4y+z+7=0 is
So here we used the concept of three dimensional geometry to understand and solve the question. Any point's position or coordinates in 3D space are determined by how far they have travelled along the x, y, and z axes, respectively. So here the value of k is 7.
The value of k such that lies in the plane 2x-4y+z+7=0 is
So here we used the concept of three dimensional geometry to understand and solve the question. Any point's position or coordinates in 3D space are determined by how far they have travelled along the x, y, and z axes, respectively. So here the value of k is 7.
and the plane 
is (units)
where 
for 
in the interval 
is
and 
are perpendicular is
, z=2-t, with parameters 
