Misc 1 (i) - Chapter 8 Class 12 Application of Integrals
Last updated at Dec. 16, 2024 by Teachoo
Miscellaneous
Misc 1 (i)
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Chapter 8 Class 12 Application of Integrals
Serial order wise
- Ex 8.1
- Examples
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Miscellaneous
- Case Based Questions (MCQ)
- Area between 2 curves
Transcript
Misc 1 Find the area under the given curves and given lines: (i) 𝑦 = 𝑥2, 𝑥 = 1, 𝑥 = 2 and 𝑥-axisArea required = Area ABCD = ∫_𝟏^𝟐▒〖𝒚 𝒅𝒙〗 y → Equation of parabola 𝑦=𝑥^2 Thus, Area required = ∫_1^2▒〖𝑦 𝑑𝑥〗 =∫_𝟏^𝟐▒〖𝒙^𝟐 𝒅𝒙〗 =[𝑥^3/3]_1^2 =1/3 [2^3−1^3 ] = 1/3 [8−1] =𝟕/𝟑 square units
