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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) 3π‘₯^2+4π‘₯^3 We know that Adding (1) and (2) (π‘₯^3 )^β€²+(π‘₯^4 )^β€²=3π‘₯^2+4π‘₯^3 Hence Anti derivative of is 𝒙^πŸ‘+𝒙^πŸ’ (π‘₯^3 )^β€²=3π‘₯^( 3βˆ’1) (π‘₯^3 )^β€²=3π‘₯^2 Also, (π‘₯^4 )^β€²=4π‘₯^( 4βˆ’1) (π‘₯^4 )^β€²=4π‘₯^3

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