NCERT Solutions - Integrals, Exercise - 7.1 JEE Notes | EduRev
Mathematics (Maths) Class 12
JEE : NCERT Solutions - Integrals, Exercise - 7.1 JEE Notes | EduRev
Page 1 1 / 1 3 C B S E C l a s s – 1 0 M a t h e m a t i c s N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 1 F i n d a n a n t i d e r i v a t i v e ( o r i n t e g r a l ) o f t h e f o l l o w i n g f u n c t i o n s b y t h e m e t h o d o f i n s p e c t i o n i n E x e r c i s e s 1 t o 5 . 1 . A n s . A n a n t i - d e r i v a t i v e o f i s 2 . A n s . A n a n t i - d e r i v a t i v e o f i s Page 2 1 / 1 3 C B S E C l a s s – 1 0 M a t h e m a t i c s N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 1 F i n d a n a n t i d e r i v a t i v e ( o r i n t e g r a l ) o f t h e f o l l o w i n g f u n c t i o n s b y t h e m e t h o d o f i n s p e c t i o n i n E x e r c i s e s 1 t o 5 . 1 . A n s . A n a n t i - d e r i v a t i v e o f i s 2 . A n s . A n a n t i - d e r i v a t i v e o f i s 3 . A n s . A n a n t i - d e r i v a t i v e o f i s 4 . A n s . A n a n t i - d e r i v a t i v e o f i s 5 . A n s . Page 3 1 / 1 3 C B S E C l a s s – 1 0 M a t h e m a t i c s N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 1 F i n d a n a n t i d e r i v a t i v e ( o r i n t e g r a l ) o f t h e f o l l o w i n g f u n c t i o n s b y t h e m e t h o d o f i n s p e c t i o n i n E x e r c i s e s 1 t o 5 . 1 . A n s . A n a n t i - d e r i v a t i v e o f i s 2 . A n s . A n a n t i - d e r i v a t i v e o f i s 3 . A n s . A n a n t i - d e r i v a t i v e o f i s 4 . A n s . A n a n t i - d e r i v a t i v e o f i s 5 . A n s . … . . ( i ) A g a i n [ M u l t i p l y i n g b o t h s i d e s b y ] … … … . ( i i ) A d d i n g e q . ( i ) a n d ( i i ) , w e g e t A n a n t i - d e r i v a t i v e o f i s E v a l u a t e t h e f o l l o w i n g i n t e g r a l s i n E x e r c i s e s 6 t o 1 1 . 6 . A n s . = = = Page 4 1 / 1 3 C B S E C l a s s – 1 0 M a t h e m a t i c s N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 1 F i n d a n a n t i d e r i v a t i v e ( o r i n t e g r a l ) o f t h e f o l l o w i n g f u n c t i o n s b y t h e m e t h o d o f i n s p e c t i o n i n E x e r c i s e s 1 t o 5 . 1 . A n s . A n a n t i - d e r i v a t i v e o f i s 2 . A n s . A n a n t i - d e r i v a t i v e o f i s 3 . A n s . A n a n t i - d e r i v a t i v e o f i s 4 . A n s . A n a n t i - d e r i v a t i v e o f i s 5 . A n s . … . . ( i ) A g a i n [ M u l t i p l y i n g b o t h s i d e s b y ] … … … . ( i i ) A d d i n g e q . ( i ) a n d ( i i ) , w e g e t A n a n t i - d e r i v a t i v e o f i s E v a l u a t e t h e f o l l o w i n g i n t e g r a l s i n E x e r c i s e s 6 t o 1 1 . 6 . A n s . = = = 7 . A n s . = = = 8 . A n s . = = = w h e r e i s t h e c o n s t a n t o f i n t e g r a t i o n . 9 . A n s . = = = Page 5 1 / 1 3 C B S E C l a s s – 1 0 M a t h e m a t i c s N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 1 F i n d a n a n t i d e r i v a t i v e ( o r i n t e g r a l ) o f t h e f o l l o w i n g f u n c t i o n s b y t h e m e t h o d o f i n s p e c t i o n i n E x e r c i s e s 1 t o 5 . 1 . A n s . A n a n t i - d e r i v a t i v e o f i s 2 . A n s . A n a n t i - d e r i v a t i v e o f i s 3 . A n s . A n a n t i - d e r i v a t i v e o f i s 4 . A n s . A n a n t i - d e r i v a t i v e o f i s 5 . A n s . … . . ( i ) A g a i n [ M u l t i p l y i n g b o t h s i d e s b y ] … … … . ( i i ) A d d i n g e q . ( i ) a n d ( i i ) , w e g e t A n a n t i - d e r i v a t i v e o f i s E v a l u a t e t h e f o l l o w i n g i n t e g r a l s i n E x e r c i s e s 6 t o 1 1 . 6 . A n s . = = = 7 . A n s . = = = 8 . A n s . = = = w h e r e i s t h e c o n s t a n t o f i n t e g r a t i o n . 9 . A n s . = = = 1 0 . A n s . = = = = 1 1 . A n s . = = = = =Read More
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