Introducing your new favourite teacher - Teachoo Black, at only βΉ83 per month
Area bounded by curve and horizontal or vertical line
Ex 8.1, 7
Ex 8.1, 1
Ex 8.1, 11
Example 11
Ex 8.1, 2 Important
Ex 8.1, 8 Important
Example 3
Misc 3
Ex 8.1, 13 (MCQ) Important You are here
Misc 1 (i)
Ex 8.1, 3
Example 5 Important
Misc 5 Important
Example 13 Important Deleted for CBSE Board 2023 Exams
Example 12
Misc 16 (MCQ)
Misc 17 (MCQ) Important
Area bounded by curve and horizontal or vertical line
Last updated at Aug. 11, 2021 by Teachoo
Ex 8.1, 13 Area of the region bounded by the curve π¦2=4π₯, π¦-axis and the line π¦ = 3 is (A) 2 (B) 9/4 (C) 9/3 (D) 9/3 Given curve π¦^2=4π₯ We have to find area between y-axis and line y = 3 β΄ We have to find area of AOB Area of AOB = β«1_0^3βγπ₯ ππ¦γ We know that y2 = 4x x = π¦^2/4 Now, Area of AOB = β«1_0^3βγπ₯ ππ¦γ = β«1_0^3βγπ¦^2/4 ππ¦γ = 1/4 β«1_0^3βγπ¦^2 ππ¦γ = 1/4 [π¦^3/3]_0^3 = 1/4 [(3^3 β 0^3)/3] = 1/4 [27/3] = π/π Hence, option (B) is correct