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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