Most Important Selected Qs for JEE AdvancedMathematicsIndefinite Integration

Let f(x)= 1 8 (8 ^7 x x+8 ^3 x x+8 x x ) ( ^8 x+2 ^4 x+4 ^2 x )^ 1 4 Find (10 f ( 2 ) )^ 4 3 , given that f(0)=0

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aligned & f(x)= ( ^6 x+ ^2 x+1 ) ( ¹² x+2 ^8 x+4 ^6 x )^ 1 4 x d x & f(x)= 1 8 (8 ^7 x x+8 ^2 x x+8 x x ) ( ^8 x+2 ^4 x+4 ^2 x )^ 1 4 & Let ^8 x+2 ^4 x+4 ^2 x=t^4, (8 ^7 x x+8 ^3 x x+8 x x ) d x=4 t^3 d t & f(x)= 1 2 t^4 d t & f(x)= ( ^8 x+2 ^4 x+4 ^2 x )^ 5 4 10 +C & Now f(0)=0 C=0 & (10 x f ( 2 ) )^ 4 5 =7 aligned

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