What is integration as anti-derviative?

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Solution

$T h e r e s u l t o f a n i n t e g r a t i o n i s c a l l e d a n a n t i - d e r i v a t i v e L e t I = F (x) = \int f (x) d x T h e n F (x) i s c a l l e d a n a n t i - d e r i v a t i v e o f f (x) T h a y a r e r e l a t e d a s F' (x) = f (x) . T h e r e f o r e, i n t e g r a t i o n i s a c t u a l l y a r e v e r s e p r o c e s s o f d i f f e r e n t i a t i o n s o i t i s c a l l e d a n t i - d e r i v a t i v e T h e r e s u l t F' (x) = f (x) f o l l o w s f r o m f u n d a m e n t a l t h e o r e m o f c a l c u l u s p r o o f o f w h i c h i s n o t i n y o u r c o u r s e$

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