Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Area bounded by curve and horizontal or vertical line
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Area bounded by curve and horizontal or vertical line
Last updated at May 29, 2023 by Teachoo
Misc 3 Find the area bounded by the curve π¦=sinβ‘π₯ between π₯=0 and π₯=2π Area Required = Area OAB + Area BCD Area OAB = β«_0^πβγπ¦ ππ₯γ π¦βsinβ‘π₯ = β«_0^πβγsinβ‘π₯ ππ₯γ = [βcosβ‘π₯ ]_β( @0)^π =β [cosβ‘πβcosβ‘0 ] =β[β1β1] =β[β2] = 2 Area BCD = β«_π^2πβγπ¦ ππ₯γ = β«_π^2πβγsinβ‘π₯ ππ₯γ = [βcosβ‘π₯ ]_β( @ @π)^2π =β [cosβ‘2πβcosβ‘π ] =β[1β(β1)] = β 2 Since area cannot be negative, Area BCD = 2 Hence, Area Required = Area OAB + Area BCD = 2+2 = 4