Misc 2 - Chapter 8 Class 12 Application of Integrals (Term 2)
Last updated at Dec. 8, 2016 by Teachoo
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Misc 2 Find the area between the curves 𝑦 = 𝑥 and 𝑦 = 𝑥2 Step 1: Drawing figure Parabola is y = x2 Also, 𝑦=𝑥 passes through (0, 0) & (1, 1) Point (1, 1) lies in parabola y2 = x Hence, intersecting point A = (1, 1) Area required Area required = Area OAD – Area OBAD Area OAD Area OAD = 01𝑦 𝑑𝑥 y → Equation of line y = x Therefore, Area OAD = 01𝑥 𝑑𝑥 = 01𝑥 𝑑𝑥 = 𝑥2201 = 12 12− 02 = 12 Area OBAD Area OBAD = 01𝑦 𝑑𝑥 y → Equation of parabola y = x2 Therefore, Area OBAD = 01 𝑥2 𝑑𝑥 = 𝑥3301 = 13 13− 03 = 13 Area required = Area OAD – Area OBAD = 12 – 13 = 16
Area between curve and line
Ex 8.1, 6 Important
Ex 8.2, 6 (MCQ) Deleted for CBSE Board 2022 Exams
Example 8 Important Deleted for CBSE Board 2022 Exams
Misc 8 Deleted for CBSE Board 2022 Exams
Misc 9 Important Deleted for CBSE Board 2022 Exams
Ex 8.2 , 7 (MCQ) Important Deleted for CBSE Board 2022 Exams
Misc 6 Important Deleted for CBSE Board 2022 Exams
Misc 2 Deleted for CBSE Board 2022 Exams You are here
Misc 10 Deleted for CBSE Board 2022 Exams
Ex 8.1, 10 Important
Misc 7 Deleted for CBSE Board 2022 Exams
Ex 8.1, 9
Misc 12 Important Deleted for CBSE Board 2022 Exams
Ex 8.2, 3 Important Deleted for CBSE Board 2022 Exams
Example 14 Important Deleted for CBSE Board 2022 Exams
Area between curve and line
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