Ex 7.2, 12 - Integrate (x3 - 1)1/3 .x5 - Chapter 7 CBSE - Integration by substitution - x^n

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.2, 12 Integrate the function: ( 3 1)^(1/3) . 5 ( 3 1)^(1/3) . 5 Step 1: Let 3= Differentiating both sides . . . 3 ^2= / 3 ^2. d = = /(3 ^2 ) Step 2: Integrating the function 1 " " ( 3 1)^(1/3) . 5" " . Putting the value of ^3 & = /(3 ^2 ) = 1 " " ( 1)^(1/3) . 5 . /(3 ^2 ) = 1 " " ( 1)^(1/3) . ^2. ^3 . /(3 ^2 ) = 1 " " ( 1)^(1/3) . ^3/3 . = 1 " " ( 1)^(1/3) . /3 . = 1/3 1 " " ( 1)^(1/3) . . = 1/3 1 " " ( 1)^(1/3) . ( 1+1) = 1/3 1 " " ( 1)^(1/3) . (( 1)+1) = 1/3 1 (( 1)^(1/3) ( 1)+( 1)^(1/3) ) = 1/3 1 (( 1)^(1/3 +1)+( 1)^(1/3) ) = 1/3 1 (( 1)^(4/3 )+( 1)^(1/3) ) = 1/3 1 ( 1)^(4/3 ). + 1/3 1 ( 1)^(1/3 ). = 1/3 1 ( 1)^(4/3 ). + 1/3 1 ( 1)^(1/3 ). = 1/3 ( 1)^(4/3 + 1)/(4/3 + 1) + 1/3 ( 1)^(1/3 + 1)/(1/3 + 1) + = 1/3 ( 1)^(7/3)/(7/3) + 1/3 ( 1)^(4/3)/(4/3) +

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