Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the area of the region bounded by the curve y^2 = x and the lines x = 1, x = 4 and the x-axis in the first quadrant.

Q : 1         Find the area of the region bounded by the curve y^2=x and the lines  x=1,x=4 and the  x-axis in the first quadrant. 

Answers (1)

best_answer

 

Area of the region bounded by the curve y^2=x and the lines  x=1,x=4 and the  x-axis in the first quadrant

Area  = \int_{1}^{4}ydy = \int_{1}^{4}\sqrt{x}dx

\left [\frac{x^{\frac{3}{2}}}{\frac{3}{2}} \right ]^4_1 = \frac{2}{3}\left [ (4)^\frac{3}{2}- (1)^\frac{3}{2} \right ]

= \frac{2}{3}\left [ 8 -1 \right ]

= 14/3 units

Posted by

HARSH KANKARIA

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

Board Exam Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question