Example 1 - Chapter 7 Class 12 Integrals - Part 2

 

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Example 1 Write an anti derivative for each of the following functions using the method of inspection: (ii) 3𝑥^2+4𝑥^3 We know that Adding (1) and (2) (𝑥^3 )^′+(𝑥^4 )^′=3𝑥^2+4𝑥^3 Hence Anti derivative of is 𝒙^𝟑+𝒙^𝟒 (𝑥^3 )^′=3𝑥^( 3−1) (𝑥^3 )^′=3𝑥^2 Also, (𝑥^4 )^′=4𝑥^( 4−1) (𝑥^4 )^′=4𝑥^3

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo