wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the area enclosed between the curve y=5x−x2 and y=x .


A

16

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

32

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

323

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

329

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

323


Let’s have a look at the graph of both the functions.

We can see that both the function intersect each other at points (0,0) and (4,4). And the area enclosed will be the area between these points.
Let the area enclosed be A.
A=40(5xx2)x dx
Since, throughout the interval [0,4],5xx2x
So we don’t have to split the integral.
A=404xx2 dxA=(2x2x33)40A=32643A=323


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Area under the Curve
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon