Example 1 - Chapter 7 Class 12 Integrals
Last updated at Dec. 20, 2019 by Teachoo
Last updated at Dec. 20, 2019 by Teachoo
Transcript
Example 1 Write an anti derivative for each of the following functions using the method of inspection: (i) cosโก2๐ฅ We know that (๐ ๐๐ ๐ฅ)^โฒ=๐๐๐ ๐ฅ (๐ ๐๐ 2๐ฅ)^โฒ=๐๐๐ 2๐ฅร 2 (๐ ๐๐ 2๐ฅ)^โฒ=2๐๐๐ 2๐ฅ (๐ ๐๐ 2๐ฅ)^โฒ/2=๐๐๐ 2๐ฅ โด Anti Derivative of (cos 2x) is ๐/๐ (๐๐๐ ๐๐) Example 1 Write an anti derivative for each of the following functions using the method of inspection: (ii) 3๐ฅ^2+4๐ฅ^3 We know that Adding (1) and (2) (๐ฅ^3 )^โฒ+(๐ฅ^4 )^โฒ=3๐ฅ^2+4๐ฅ^3 Hence Anti derivative of is ๐^๐+๐^๐ (๐ฅ^3 )^โฒ=3๐ฅ^( 3โ1) (๐ฅ^3 )^โฒ=3๐ฅ^2 Also, (๐ฅ^4 )^โฒ=4๐ฅ^( 4โ1) (๐ฅ^4 )^โฒ=4๐ฅ^3 Example 1 Write an anti derivative for each of the following functions using the method of inspection: (iii) 1/๐ฅ, ๐ฅโ 0 We know that (logโก๐ฅ )^โฒ=1/( ๐ฅ) Hence Anti derivative of is ๐/๐
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