Most Important Selected Qs for JEE AdvancedMathematicsIndefinite Integration

If ( 101 x ) ⁹⁹ xdx is equal to (100 x )( x)¹⁰⁰ 25 K + C then K is equal to

Correct answer

Step-by-step solution

aligned & I= (100 x+x) ⁹⁹ x d x= ( 100 x) x+ 100 x x ⁹⁹ x d x & = 100 x x ⁹⁹ x d x+ 100 x ¹⁰⁰ x d x & = (100 x)( x)¹⁰⁰ 100 - 100 100 (100 x) ( x)¹⁰⁰ d x+ 100 x ¹⁰⁰ x d x & = (100 x)( x)¹⁰⁰ 100 +C aligned

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