Area bounded by curve and horizontal or vertical line
Area bounded by curve and horizontal or vertical line
Last updated at August 2, 2026 by Teachoo
Transcript
Ex 8.1, 4 Area of the region bounded by the curve š¦2=4š„, š¦-axis and the line š¦ = 3 is (A) 2 (B) 9/4 (C) 9/3 (D) 9/3Given curve š^š=šš We have to find area between y-axis and line y = 3 ā“ We have to find area of AOB Area of AOB = ā«1_š^šāćš š šć We know that y2 = 4x x = š^š/š Now, Area of AOB = ā«1_0^3āćš„ šš¦ć = ā«1_š^šāćš^š/š š šć = 1/4 ā«1_0^3ā暦^2 šš¦ć = 1/4 [š¦^3/3]_0^3 = 1/4 [(3^3 ā 0^3)/3] = 1/4 [27/3] = š/š square units So, the correct answer is (b)