( a ) Differentiate x l o g x x , where x 0 Calculate 1 y l o g x d x ( b ) Differentiate x 3 e x c o s x Calculate 4 3 ( x 3 e x 3 x 2 e x s i n x 5 x ) d x ( c ) Differentiate x 2 s i n x Calculate 4 2 ( x s i n x 1 2 x 2 c o s x 2 x ) d x

Question

( a ) Differentiate x l o g x   x , where x   0   Calculate 1 y l o g x d x   ( b ) Differentiate x 3 e x c o s x   Calculate 4 3 ( x 3 e x 3 x 2 e x   s i n x 5 x ) d x   ( c ) Differentiate x 2 s i n x   Calculate 4 2 ( x s i n x 1 2 x 2 c o s x 2 x ) d x

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( a ) Differentiate x l o g x - x , where x > 0 . Calculate 1 y l o g x d

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